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### Course: Arithmetic>Unit 8

Lesson 1: Remainders

# Understanding remainders

Use arrays and practice problems to understand remainders.

## Some division problems work out nicely.

$24÷8=$

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

$25÷7$
Oh no! We can't split $25$ circles into perfect groups of $7$. We have some circles left over.
How many groups of $7$ can we make?

How many circles remain? In other words, how many circles are not in a group?

## Practice problems

Practice problem 1
$19÷9=$
$\text{R}$

## Want to join the conversation?

• When you have a remainder, it can't be bigger than the other numbers right?
(208 votes)
• The remainder cannot be greater than the divisor.
(53 votes)
• I got all right just from being with my amazing math teacher
(107 votes)
• same
(15 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
(57 votes)
• why are there remainders
(32 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.
(34 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.
(46 votes)
• No(just kidding)
(5 votes)
• at how long can a division equation be
(40 votes)
• as long as infinity
(12 votes)
• Bruh remainders are awful. I wish we could keep doing decimals..
(42 votes)
• Well I agree with you!
(2 votes)
• never gonna give u up
never gonna let you down
(35 votes)
• stop Ric rolling!
(10 votes)
• This so amazing now my teach is going to like what 🏹 i amid well for math thx khan academy
(28 votes)
• What is a cats favorite color?

PURPLE!

1oo votes and I will do a even better joke.
(26 votes)
• I knew that
(5 votes)