Understanding Division

Division is a mathematical way of splitting a total number of items into equal groups. Whenever you share something equally or put things into groups of the exact same size, you are dividing!

Two Ways to Think About Division

There are two main ways we use division in the real world:

1. Sharing (How many in each group?) Imagine you have $15$ stickers and want to share them equally among $5$ friends. You are dividing the total ($15$) by the number of friends ($5$) to find out how many stickers each friend gets. $15 \div 5 = 3$ Each friend gets $3$ stickers.

2. Grouping (How many groups?) Imagine you have $20$ toy cars and want to put them into boxes, with $4$ cars in each box. You are dividing the total ($20$) by the number in each group ($4$) to find out how many boxes you need. $20 \div 4 = 5$ You can make $5$ groups (or boxes).

Division is the Opposite of Multiplication

Division is the exact opposite (or "inverse") of multiplication. Because they are connected, if you know your multiplication facts, you already know your division facts!

For example, to solve $12 \div 3 = ?$, just ask yourself: "What number multiplied by 3 gives me 12?"

Since $3 \times 4 = 12$, we know that: $12 \div 3 = 4$

Let's Practice!

Here are a few ways division problems might look:

Problem 1: $12 \div 3 = ?$ How to solve: Think $3 \times ? = 12$. Since $3 \times 4 = 12$, the answer is $4$.

Problem 2: Share $15$ stickers equally among $5$ friends. How many does each get? How to solve: This is a sharing problem. You are taking $15$ and splitting it into $5$ equal groups. $15 \div 5 = 3$. Each friend gets $3$ stickers.

Problem 3: How many groups of $4$ can be made from $20$? How to solve: This is a grouping problem. You want to see how many $4$s fit into $20$. $20 \div 4 = 5$. You can make $5$ groups.