Main content

## 4th grade (Eureka Math/EngageNY)

### Unit 3: Lesson 7

Topic G: Division of thousands, hundreds, tens, and ones- Intro to long division (no remainders)
- Estimate quotients (3- and 4-digit divided by 1-digit)
- Long division with remainders: 2292÷4
- Long division with remainders: 3771÷8
- Divide multi-digit numbers by 6, 7, 8, and 9 (remainders)
- Divide multi-digit numbers by 2, 3, 4, and 5 (remainders)

© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

# Intro to long division (no remainders)

CCSS.Math:

Watch an introduction to long division with the problem 96÷4. Created by Sal Khan.

## Want to join the conversation?

- how can there not be a remainder? i don't understand(7 votes)
- There's no remainder if a number can go into another number evenly.

It's sort of like if you have 5 fingers, and you have a weird glove that only has 4 fingers. You can put all your fingers in except for one. That one finger is your REMAINING finger outside the glove.

Another example: You have 24 cookies to share with your 4 friends. You go to school and ask them to hold out their hands and you start handing out cookies one at a time.

One for Jon, one for Terry, one for Kate, one for Ben.

One for Jon, one for Terry, one for Kate, one for Ben.

On and on until you run out of cookies.

You'd notice that you end perfectly on Ben, and each of them have 6 cookies each.

24/4 = 6 without remainders.(43 votes)

- I could use some practice(5 votes)
- So, you need practice? First you can see this link,: https://www.education.com/worksheets/division/

and figure it out from there! Then search it up, view tables, print worksheets, and strive to become a star!(9 votes)

- What does compute mean?(2 votes)
- make a calculation, especially using a computer.

"modern circuitry can compute faster than any chess player"

INFORMAL(3 votes)

- yall are good exept xander(3 votes)
- dude this helped me a lot thanks i did not understand befor(3 votes)
- Why does long division work?(2 votes)
- I'm literally failing at math.

I keep having to re-learn this every year and it's preventing me from learning new stuff which is keeping me behind.

Does anyone have advice?(2 votes)- Well I do. You're learning the same thing all the time so you can get better at it and that's what your teacher wants. Okay.(1 vote)

- This type of division is easy then the other division.(2 votes)
- My mom taught me to do the doghouse strategy.(2 votes)
- it is my birthday(2 votes)

## Video transcript

In this video,
I'll introduce you to a new way of
computing division, especially for larger numbers. And then we'll think a little
bit about why it works. So we're going to try to
compute what 96 divided by 4 is. And I'm going to write it
a little bit differently. I'm going to write 96
divided by-- so I'm going to write this
strange-looking symbol right over here, this
thing that covers the 96. But you could view this
as 96 divided by 4. And I'll show you in a second
why we write it this way. This is actually a very useful
way of actually computing it. So the first thing we'll
do is we'll say, well, how many times does 4 go into 9? Well, we know that 4 times 2 is
equal to 8 and that 4 times 3 is equal to 12. So 3 would be too much. We would go above 9. So we want to be below 9 but
not have too much left over. We want the largest
number that gets us into 9 without going over 9. So we'll say it goes two times. 4 goes into 9 two times. And then we say,
what's 2 times 4? Well, 2 times 4 is 8. 4 times 2 is 8. Or 2 times 4 is 8. And now, we subtract. We subtract the 8 from the 9. And we get 1. And now we bring down the
next digit, which is the 6. And then we ask ourselves,
well, how many times does 4 go into 16? Well, in this case, we know
that 4 goes into 16 exactly four times. 4 times 4 is 16. So we say 4 goes
into 16 four times. Then we multiply
4 times 4 is 16. We subtract. And 16 minus 16, we have
absolutely nothing left over. And there we have our answer. I know it seems kind of
magical at this point. But in a few
seconds, we're going to think about why
this actually worked. We got that 96 divided
by 4 is equal to-- I want to do that in a
different color-- 24. Now, what I want you to do
right now is pause this video and think about why
did this actually work. How did we magically get
the right answer here? And you can verify this. Multiply 4 times 24,
and you will get 96. Well, I'm assuming
you gave a go at it. And the important
thing always is to keep track of
the place value. And it really tells
you what's going on when we do this process. When we looked at this
9 right over here, this 9 is in the tens place. This is actually
representing 90. It represents 9 tens. So we're saying,
well, how many times does 4 go into 90 if we're
thinking about multiples of 10? Well, it goes 20 times. 4 times 20 is 80. And so we said, well,
4 times 20 is 80. But we still have 16 left over. You do 96 minus 80. You have 16 left over
to divide 4 into. And then 4 goes
into 16 four times. So really, a lot of this
is just saying, well, we first figured out that
we could go 20 times. And then we said, well,
that doesn't get us all the way to 96. We have to go
another four times. Hopefully, that helps.