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### Course: 4th grade > Unit 5

Lesson 1: Remainders# Division: FAQ

Frequently asked questions about division.

## What is a remainder?

When we divide one number by another, sometimes the division doesn't come out evenly. The remainder is the part that's left over.

For example, when we divide $17$ by $4$ , we get a quotient of $4$ with a remainder of $1$ .

Try it yourself with these exercises:

## What is division with place value?

When we divide larger numbers, we can break them down into smaller chunks using place value.

For example, when we divide $288$ by $4$ , we can divide the $200$ by $4$ , the $80$ by $4$ , and the $8$ by $4$ and then add the quotients together.

Try it yourself with this exercise:

## How can we use area models to help us divide?

An area model is a way of visually breaking down a multiplication or division problem into smaller parts. We can use an area model to show the distributive property of multiplication and division.

For example, we can break apart $\mathrm{4,115}\xf74$ using the area model below.

Try it yourself with these exercises:

## What is multi-digit division with partial quotients?

When we divide multi-digit numbers, we can use partial quotients to break the problem down into smaller chunks. For example, when we divide $486$ by $3$ , we can break down $486$ into $300+180+6$ .

Try it yourself with these exercises:

## Where do we use division in the real world?

We use division all the time! For example, we might use it to split a bill evenly between a group of friends, to calculate a batting average in baseball, or to figure out how many servings of food we can make from a recipe.

## Want to join the conversation?

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