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### Course: 5th grade foundations (Eureka Math/EngageNY) > Unit 2

Lesson 6: Topic F: Foundations- Division with area models
- Divide by 1-digit numbers with area models
- Intro to long division (no remainders)
- Long division: 280÷5
- Divide multi-digit numbers by 2, 3, 4, and 5 (remainders)
- Understanding remainders
- Divide with remainders (2-digit by 1-digit)

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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?(226 votes)
- The remainder cannot be greater than the divisor.(63 votes)

- I got all right just from being with my amazing math teacher(115 votes)
- what is meaning of remainders(43 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(65 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.(49 votes)
- No(just kidding)(7 votes)

- Bruh remainders are awful. I wish we could keep doing decimals..(46 votes)
- at8:08how long can a division equation be(41 votes)
- as long as infinity(14 votes)

- What is a cats favorite color?

PURPLE!

1oo votes and I will do a even better joke.(42 votes) - This so amazing now my teach is going to like what 🏹 i amid well for math thx khan academy(29 votes)
- What is a tip for the remainder game?(21 votes)
- if it an't fitting perfect in the number you divided by than it's the reminder(7 votes)

- why is the remainder challenge game screen small?(12 votes)