Long division Trick - Dividing with dots

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This long division trick is a simple as connecting the dots, and it's as quick as a flash.
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[@tinytears2115]

I want to thank you for being the best teacher ever!!!! Finally at the tender age of 49 I passed my maths exam!!! You made maths so enjoyable for the first time ever... Many many thanks 😊

[@tecmath]

Thank you. I'm glad you did well.

[@vincentbarraza1115]

It's all fun and games until the end of the video he said: "it's not applicable all the time." Hahaha

[@MegaMisch]

Very cool. Always great to learn and see novel ways to do maths. People often believe they know just about everything about multiplcation and division but as you often demonstrate there are hundreds of ways to go about them. Each one fascinating in their own ways. :) Thanks for the great video.

[@davidchristy8302]

33288 / 57? I tried that. Took a pic of the mess it makes... If I can attach it, I will. Took several tries to get it right. Looks like I can attach anything else, other than a picture. Lol....

[@brockormond4131]

Feels like you should have done a couple that did end up with decimal remainders; just as an example rather than just kinda mentioning it as an aside.

[@zoranvucenovic3824]

He didn't mention it, but the dot method appears to be only good for determining whole number answers. I guess we will have to wait for an answer.

[@janstella7839]

@@zoranvucenovic3824 let's try something easy:23/2 2 dots, 3 dots 0 dots, 3 dots 0 dots, 1 dot So 23/2=11 with a remainder of 1 If you take the remainder as a number you can continue in the same way 1 dot 0 dots, 10 dots 0 dots, 8 dots 0 dots, 6 dots 0 dots, 4 dots 0 dots, 2 dots 0 dots, 0 dots At this point you can clearly see That 23/2=11,5

[@richardlighthouse5328]

No mention of how decimal place is added and no examples if two numbers cannot be divided fully and have remainder.

[@user-sl5gc5yv4m]

This is so cool! Honestly, I think this is better than your other long-division tricks since this is simpler. Thanks so much!

[@jasonmorris2813]

That definitely is a new approach for me and super interesting at the same time understandable 👍

[@242math]

this is a neat trick, thanks for sharing

[@SpaceWithSam]

Amazing video, always a joy to see you explaining stuff with clarity (informative), excellent work!

[@tecmath]

Thank you. I'm glad you liked it.

[@ABCTubeTV]

Nice trick I learn this trick first time

[@ASChambers]

Love this. Looks like fun. What about remainders and fractions?

[@nomadMik]

I thought exactly the same. I hope there's a follow-up vid.

[@janstella7839]

You just treat the remainder as a normal number... Easy example 56/5 5 dots, 6 dots 0 dots, 6 dots 0 dots, 1 dot You can say 56/55=11 with a remainder of 1, but you can also continue in the same way: 1 dot 0 dots, 10 dots 0 dots, 5 dots 0 dots, 0 dots Sooo 56/5=11, (edit: 1 dots->1 dot)

[@ASChambers]

@@janstella7839 brill. Thanks 😊

[@MartianWasteLander]

But I've got a question; for example for a 4 digit number what if we get an odd dot in thousandth digit , where should we borrow 10 dots from or is there a different method for that?

[@margaretd3710]

Interesting, but what happens when you divide any of those number by bigger numbers - like 157421 or 6324 divided by 999? How do you do the dots then?

[@jandroruiz]

@King Pistachion When?

[@Violaetor]

@@jandroruiz 5:50

[@RJ-yn2dj]

Hi, can you revisit this and do another method for dealing with decimal point? Thanks

[@scmtuk3662]

It basically involves adding extra columns, and moving one dot from the original last column into 10 dots in the new column.

[@justsayingmyopinion6275]

Amazing! Will try it with my primary students Would you still suggest focusing on formal ways of working out maths problems or to leave the choice to the student?

[@tecmath]

I usually start with formal and introduce the shortcuts etc as we move through to aid understanding.

[@justsayingmyopinion6275]

@@tecmath thanks!

[@tecmath]

I also think it's good to show this method in where you lead on from division of such things like 96 / 3 etc

[@justsayingmyopinion6275]

@@tecmath hmmm I think it would be a very visual way of describing the long division process in a question like 96/3. Did you mean to try it on a question like that first?

[@tecmath]

@@justsayingmyopinion6275 i would. Then move into the bigger ones!

[@mamasteve4214]

Tysm! I really needed this because on Summer break I forgot how to divide because my 3rd grade teacher mostly only taught multiplication♡

[@emordi1362]

Just discovered this channel and I love it already. Thank you

[@mr.mojorisin9999]

Does this work for green pens

[@LauraJayne64]

Have you done a video on how to know where to do the decimal?

[@funniful]

I thought this was fun and interesting!

[@RashidMalik-LabVIEW]

How do you solve, for example, 113 / 7 using this method?

[@AyubKhan-to6wn]

Oh hi iam indian accent origin I am not able to understand can u plz help me in understanding his sums of division

[@Kreekcraft_fakre]

Man that was amazing it will help me pass grade 7 mathematics

[@josielyncalma5435]

Wow so cool!! Thanks for the tricks

[@kyookhanh9293]

hello, how could you solve 44016 : 56 for example? there is not enough dot in the first line!

[@janstella7839]

You have to transform the first 4 dots in 40 dots under the second 4; you have then 44 dots, 0 dots, 1 dot, 6 dots; Now you need to bring 1 of the 44 dots to the next space, so it becomes 43 dots, 10 dots, 1 dot, 6 dots; You take out 5 dots from the 43 and 6 from the 10, so it becomes 38 dots, 4 dots, 1 dot, 6 dots; Now you continue this way until you finish all of your dots... The next passages should be: 37 dots, 14 dots, 1 dot, 6 dots 32 dots, 8 dots, 1 dot, 6 dots 27 dots, 2 dots, 1 dot, 6 dots 26 dots, 12 dots, 1 dot, 6 dots 21 dots, 6 dots, 1 dot, 6 dots 16 dots, 0 dots, 1 dot, 6 dots 15 dots, 10 dots, 1 dot, 6 dots 10 dots, 4 dots, 1 dot, 6 dots 9 dots, 14 dots, 1 dot, 6 dots 4 dots, 8 dots, 1 dot, 6 dots At this point you can't delete 5 dots from the first column so you bring 4 dots to 40 dots in the second column; you also should have the first digit of the result which is 7 (if I'm counting right) Then you continue from there: 48 dots, 1 dot, 6 dots 47 dots, 11 dots, 6 dots 42 dots, 5 dots, 6 dots 41 dots, 15 dots, 6 dots 36 dots, 9 dots, 6 dots 31 dots, 3 dots, 6 dots 30 dots, 13 dots, 6 dots 25 dots, 7 dots, 6 dots 20 dots, 1 dot, 6 dots 19 dots, 11 dots, 6 dots 14 dots, 5 dots, 6 dots 13 dots, 15 dots, 6 dots 8 dots, 9 dots, 6 dots 3 dots, 3 dots, 6 dots You now have the second digit of the result, which is 8. Now let's continue: 33 dots, 6 dots 28 dots, 0 dots 27 dots, 10 dots 22 dots, 4 dots 21 dots, 14 dots 16 dots, 8 dots 11 dots, 2 dots 10 dots, 12 dots 5 dots, 6 dots 0 dot, 0 dots The third digit of the result is 6 So 44016/56=786 In this case I would use the conventional method to make divisions in column as it should be faster.

[@Yuniiiiiiiiiiiiiiiii]

@@janstella7839 wow ur patient

[@jkthakkar6202]

Perhaps you could teach lil less complicated method would be grateful! Also love your videos they are treasure for not just students but teachers as well. Thanks.

[@tecmath]

More coming! I reckon the beauty is you can choose to do this or not.

[@akshatgupta7471]

This is too good to be true😂 i am still awstruck that this trick is really working

[@josephraphaelllaneta6671]

*sees intro* Me: *almost fades out of existence*

[@stevennunn]

Neat trick. Keep up the good work.

[@safepethaven]

I'm old, having taught math both low and advanced, since 1968. And I struggled as a kid to have it make sense when I was first learning so it was never easy for me until it clicked, then it stuck and could explain it to anyone else. I keep an open mind to all methods of valid calculating and explaining same; however I call BS on this system. In what way is it more intuitive and faster and more effective than the old tried and true calcs of generations ago [which work EVERY time]? Go ahead, I'll wait. ;-))

[@tecmath]

As I said in the video, I don't use it often - I find it interesting. Like multiplying using lines - interesting, visual - but too cumbersome for frequent use. Funnily though - I don't use the standard system taught for exactly the same reason.

[@janstella7839]

It's not that this method doesn't work everytime... It's just that it is tedious. I'm young, I have never taught math, but I would like to do so in my future, and I clearly see that it's just a way to visualize the normal method of generations ago. It could be more intuitive for someone who hasn't a mathematical mind, someone who need to visualize something to understand that. This method is just a subtraction method: 69/23: 69-23=46 -> 69/23=1+46/23 46-23=23 -> 69/23=2+23/23 23/23=1 -> 69/23=3 Edit: I'm not sustaining this method, I prefer to divide and multiply numbers in my mind. I personally wouldn't ever use this method, but for someone that can't abstract numbers it should be better.

[@safepethaven]

@@janstella7839 You're struggling to see the power of the "old school" method because when properly introduced, it covered the background or "dots" to represent the columns of the various tens places; pnce mastered then the operations were structured in the most efficient way. Only the very simplest of arithmetic is intended to do in one's head, that is why the structured method, written, will always work in the real number system, even the longest or most complicated. Teaching the WHY as well as the HOW was done a long time ago but has been dropped over the years. So wrong.

[@jessechapman6633]

Hi there this is a very good method actually I have dyscalculia so is there any more information there on this dot method for division I can multiply with the lettuce method perfectly just division is one of my enemies I need crack at

[@chakajnarodom]

Thanks .

[@Whashack]

This physical graph must have genomic and biological significates. Replication diagram?

[@tedcrilly46]

why does the decimal go there?

[@craigburrows2945]

Same Q. How do you "know" where to put the decimal?

[@carsforkids3512]

It’s where the structure no longer has any starting points

[@thedailyunknownfacts6199]

How can we do this (234÷12) If you explain this. It would really beneficial to us.

[@janstella7839]

2 dots, 3 dots, 4 dots 1 dot, 1 dot, 4 dots (result: 1...) 0 dots, 11 dots, 4 dots 0 dots, 10 dots, 2 dots 0 dots, 9 dots, 0 dots 0 dots, 8 dots, 10 dots 0 dots, 7 dots, 8 dots 0 dots, 6 dots, 6 dots 0 dots, 5 dots, 4 dots 0 dots, 4 dots, 2 dots 0 dots, 3 dots, 0 dots 0 dots, 2 dots, 10 dots 0 dots, 1 dot, 8 dots 0 dots, 0 dots, 6 dots (result=19...) 0 dots, 0 dots, 6 dots, 0 dots 0 dots, 0 dots, 5 dots, 10 dots 0 dots, 0 dots, 4 dots, 8 dots 0 dots, 0 dots, 3 dots, 6 dots 0 dots, 0 dots, 2 dots, 4 dots 0 dots, 0 dots, 1 dot, 2 dots 0 dots, 0 dots, 0 dots, 0 dots 234/12=19,5

[@eggsbennedit6373]

Me after watching the first example and not understanding what happened: W H A T T H E F U C K H A P P E N E D ? ?

[@something1like509]

Yes

[@inasez]

What happens if the answer is not a whole number tho?

[@kittykattginger]

You said thats where the decimal goes because its divided by a 3 digit number, but then the next problem is also a 3 digit number and the decimal is in a different spot???

[@kendrickf-d6695]

How to recognize when it is applicable

[@bbsaid218]

Hello from 🇬🇧

[@natureblank1401]

Hello from 🇰🇵

[@MemyBurosi]

Already Subbed

[@angelhunt4484]

You said it’s not applicable all the time how do you know when it is and when it isn’t

[@scmtuk3662]

This method can even be used for fractions where the answer is less than 1. Take something simple like 3/4 First, we do 3 dots, obviously. ooo Now, we can't join 4 dots to 3, so, we already know that there are 0 connections for the first row. So, the first part of our answer is 0 We simply treat the 3 as 30 x 0.1, by adding 30 dots to a second row. xxx oooooooooooooooooooooooooooooo Now, we can simply join 4 dots at a time from the 30 dots: xxx *oooo* *oooo* *oooo* *oooo* *oooo* *oooo* *oooo* oo We have 7 connections, with 2 remaining dots. We can then convert these 2 dots representing 2 x 0.1, to 20 x 0.01, by adding a 3rd row of 20 dots. xxx *oooo* *oooo* *oooo* *oooo* *oooo* *oooo* *oooo* xx oooooooooooooooooooo Now, if we connect 4 dots at a time, we get: xxx *oooo* *oooo* *oooo* *oooo* *oooo* *oooo* *oooo* oo *oooo* *oooo* *oooo* *oooo* *oooo* From this, we can see 0 connections from the first row, 7 connections from the second row, and 5 connections from the third row, therefore, 3/4 = 0.75

[@danpsyker6122]

What do you do with the dots if there's a Zero as one of the numbers though?

[@forric23]

I didn't understand the decimal place thing, can you explain?

[@evadesscanslikeaninja9468]

its faster than doing the classic division method 😭

[@bossbaby2912]

Thx sir :)

[@ernestoa.serranojr.1346]

What if there is a remainder?

[@justhere7947]

not sure whats going on help update i get it now i tried it on 582%3 i got 20 but the correct answer is 0

[@doviid8520]

I just subtract the number. That's easier for me.

[@rogeriopenna9014]

@@NEELJAYF I think he means that subtracting a number is easier than doing a division. "If you have 30 apples and you must share equally between 14 people, how many apples each person will get?" "16!" "Eh?? No... you are subtracting the apples" "I know, but it's easier than dividing!"

[@robertbowman448]

@@NEELJAYF I think what he means is division is just serial subtraction in the same way that multiplication is serial addition.

[@puneet1173]

Does this work for every number?

[@Cruchindo]

Soo... how would i do 13,726/142 ??? It just doesn't seem to work.

[@v-eat6541]

Sir how to solve larg number s to small number bivider or larg number bivider to small number bivider. Exp.987654÷3 Exp.187654÷2. Plz elaborate

[@krulerm]

if 2566/15=?

[@hogisengclub332]

Thanks but I'm having trouble. I got the wrong answer when I divided 250/13 using this method. Can this trick work for every number?

[@Tsax1949]

Yeah. I got 19.3 ... close. I had a similar problem with 2897/342

[@ayushmukund4941]

What is this how did it

[@shivramverma7047]

11569 divide by 17 Karo jaldi from dots

[@shivramverma7047]

Yes

[@mohamed.montaser]

you didn't explain on what reason your are connecting the dots in term of the direction

[@ted3600]

This is Probally one of many of Tecmath's dissertation/thesis on his masters and or doctorate degree? 🤔 The man reallly understand his math, considering the fact it might open the doors applying this methodology to physics? For example... Conversion of Dec # to Binary # and Hex #. 365 = 1 0110 1101 = 16D. Just saying 🤔

[@konstantinaspanou6089]

what about 21÷32?

[@user-zi3ht4du9v]

. . . . . . . . . . . . انصرف واحده من العمود الي فيه3نقاط تعطينا10نقاط نضعها في صف 2

[@NoBody-ht1oh]

I got the same answers using my calculator on the phone I carry all the time. Like most people 👌

[@user-vn7ce5ig1z]

Then why are you even here? ¬_¬

[@NoBody-ht1oh]

@@user-vn7ce5ig1z I’m not. I’m over there.

[@NoBody-ht1oh]

@King Pistachion oh is it? Geez I am a barnacle head.

[@belindasmith2789]

Don't understand your dots ..how you decide to connect dots.

[@genemarcus7522]

i did not get it but thanks

[@pramodmoolya9894]

It is fun until decimal answer come

[@martyharris9543]

Love these videos, but this one gave me a headache

[@juliehardy7510]

That is amazing! 🥰

[@TVS...l-_-l...]

Very Tedious Method....difficult to visualize these dots

[@shivramverma7047]

See my comments

[@charleswilliams3375]

Great but needs brain

[@AliceAttentionWhore]

I just use the calculator. That's easier for me.

[@tecmath]

If that works for you! I hope you liked this method... just for.

[@vannaimagination2808]

Still don't understand 😹

[@stephenselby4252]

Sorry, I couldn’t follow at all. 😢

[@shoutinghorse]

Buy a calculator 🤯

[@DeanBallDarlo]

Completely lost

[@crimsonknight5575]

certainly not a neat trick.

[@lbarbato6425]

I got a better trick, use a calculator.

[@charleswilliams3375]

Great but needs brain