Visually understanding long division

[@Yony42]

Granted, I never really used it beyond grade-school, but I'm 25, meant to be a scientist, and have never understood the idea behind long division until now.

[@apersonwanderingthebramble9174]

Long division follows you through school, and you never use it in your adulthood? Then why does it exist .-.

[@Peter-tx5dj]

@xxSourWingxx I don't remember long division from elementary or high school. After seeing my 10 year old sister use it I asked how it works, she explained but I completely failed to grasp the idea behind that algorithm. I had thought I was "pretty" good at math but that really destroyed me, watching all those math videos meant for kids and still not understanding what it is that makes it work lol.

[@Z-eng0]

20 yo and still only thought of fully trying to understand the idea now trying to teach my cousin, even though I just used it last year with polynomials

[@mukulsharma5738]

are you a scientinst now ?

[@ahmedal-doori2704]

This is genius! Thank you Sal you have enlightened me!

[@UltimateBargains]

Next, show us how to use the "long division" technique for calculating square roots and cube roots.

[@georgiaharris1431]

I'm dyslexic and trying to help my ten year old learn this when it seems like made up calculations that have no meaning is blowing my mind (and making me cry abit when I remember how much I didn't understand it the first time round!) I hate not being able to help. This description of WHY you have to do the different parts has helped massively, thank you so much!

[@ryuguy032197]

This is very interesting and I never thought about the geometry behind it......I am also glad that I found this out early in life (high school senior)....thank you sal

[@Z-eng0]

Well I have to admit while I didn't really reach my solo understanding of it in *that* way (visually I mean) It's still a really *AMAZING* way to go about it. Once again Khan academy you never cease to amaze, 98% of the time delivering me full knowledge in the comfort of my home, salutations

[@glennrickelton4093]

A very helpful explanation of how long division works rather than just the mechanics of doing it. Your similar visual explanation of the chain rule is also very good. Would be great if you could do similar on WHY polynomial long division works (with or without added visual proof)

[@Spoif]

Khan Academy Great explanation. My problem with long division is when the numbers are bigger... Then I have to use a calculator to do the partial divisions which defeats the object of doing the long division in the first place.

[@probablynotsatanic66]

But whether or not we will use it, understanding how something works is always refreshing.

[@Spoif]

You're absolutely right. And it's nice to see the visual explanation; which I hadn't previously thought of.

[@Astro_Fizix]

Small heads up for anyone confused as to why he said that 20 eights fit into 170 when in reality 21 eights fit into 170 because 8 * 21 = 168 < 170. To clarify, I think it’s better to say “How many 80s fit into 170?” The answer, of course, is the first digit of the quotient, which is 2!

[@RiceBlitzRBX]

Casually, this video helps me even tho im in 4th class this means me alot of know dge keep making these type of videos of you can

[@yyznawar6568]

yyyyaaayyyy! I'm not going to flunk math!!!! or 5th grade

[@rustywastakenwastaken]

did you flunk math?

[@ResedCP]

this literally helped me so much thank you! Now i understand long division and hopefully get a good grade in math :D

[@pecugihan]

have used this computation for all my life, but only understand it now

[@manuelcardoso7595]

THANK YOU SO MUCH!! I usually don't type with caps lock cause it makes you sound like a crazy person, but I've never understood this since primary school (I'm in 10th grade), I actually never used it cause I don't do something if I don't understand the logic behind it Thank you so much. But this is exctly how I'd do it in my head.

[@suhedabirben5163]

Thank you so much! This helped my 5th grades so much! They some got 100/100 and 90/100!

[@alittax]

Thank you for your beautiful explanation!

[@mashael9463]

You're the best. Thanks

[@2010RSHACKS]

I don’t understand because I have 1/39 and I don’t understand where to go because 39 doesn’t go into 1 at all

[@Foxingban]

even numbers seem way easier than odds I cant get my head around how to work out 5 divided by 11 i get to the 0.83 part but where do you get the other 3

[@brandtstansfield5475]

hey thanks for helping me understand "basic" math without a calculator. lol god knows i may not have one on me during a time of mathematical need. Here's to a diploma!

[@Serenity3]

How would it visually look like if you have a remainder?

[@giefvideo]

+Serenity3 Part of your rectangle wouldn't fill up completely as you added the number of times your integer goes into the entire number. The end result would still be a number of - say - tens plus a number of ones, but then you'd also have a number of tenths etc that would add together to give you the result.

[@LOONKZ]

It’s been 8 years, I hope you are doing great in life

[@jeanmarlyn]

Cool your a great math guy

[@pewkohd324]

That was fantastic

[@ilianacalzadillas7530]

For a long time and my channel is golden heart

[@TheLandlord365]

Good vid sal

[@justjasmine79]

🤯

[@pecugihan]

those who found this method is genius

[@TheGatesOfFire]

But that leaves the problem of why you don't write something over the 1. 100/8

[@ilianacalzadillas7530]

I am using my sisters Google account and I am just 12 and I understood long division so yeaaaaa

[@HandsomeDevil456]

now you're 20. Time flies, am I right?

[@nialaxoxo]

Carona ruined me and know math

[@tikithompson7892]

Am un subcribing I don't get it

[@YvieT]

Tiki Thompson same here.

[@suhedabirben5163]

Rude

[@lisadesmond6471]

Totally overcomplicated it!

[@eliotvarda]

But 8 doesn't go to 170, 20 times it goes 21 times, you confused me rly a lot, ....

[@Cloak07]

We are just trying to account for the highest digit, tens digit in this case, without accounting for the units digit, because we do that later with what is left over. So think of it as we divide by the highest number so that the units digit remains 0. Hope this was helpful, I can explain more if you want.

[@robynbieber6312]

I can’t thank you enough. 🥹