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### Course: Arithmetic (all content) > Unit 3

Lesson 14: Remainders- Intro to remainders
- Understanding remainders
- Divide with remainders (2-digit by 1-digit)
- Interpreting remainders
- Long division with remainders: 3771÷8
- Long division with remainders: 2292÷4
- Divide multi-digit numbers by 6, 7, 8, and 9 (remainders)
- Multi-digit division

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# Understanding remainders

Use arrays and practice problems to understand remainders.

## Some division problems work out nicely.

## Other division problems don't work out nicely.

Oh no! We can't split ${25}$ circles into perfect groups of ${7}$ . We have some circles left over.

## Key idea: We can use a *remainder* to describe what *remains* after dividing.

## Practice problems

## Want to join the conversation?

- When you have a remainder, it can't be bigger than the other numbers right?(222 votes)
- The remainder cannot be greater than the divisor.(61 votes)

- I got all right just from being with my amazing math teacher(111 votes)
- what is meaning of remainders(41 votes)
- it is the left over for example if you do 3 divied 4 it will be 1 with a remainder of 1 left over it remainder(61 votes)

- why are there remainders(34 votes)
- Because you can't always split quantities into equal sized groups. For example, you have 7 cookies to split between yourself and 2 friends. And, each person must get the same number of cookies. With 3 people, each person gets 2 cookies and you have 1 extra cookie. That's the remainder.(36 votes)

- Can you guys update it to let you submit when your ready? I was on the first problem and while I was writing it down and everything, I looked up and all my strikes were gone and i was out. I am one of those people who are slow at doing math sometimes.(47 votes)
- at8:08how long can a division equation be(39 votes)
- as long as infinity(14 votes)

- never gonna give u up

never gonna let you down(38 votes)- stop Ric rolling!(13 votes)

- Bruh remainders are awful. I wish we could keep doing decimals..(43 votes)
- What is a cats favorite color?

PURPLE!

1oo votes and I will do a even better joke.(34 votes) - This so amazing now my teach is going to like what 🏹 i amid well for math thx khan academy(28 votes)