# Division

### Division is splitting into equal parts or groups.

### It is the result of "fair sharing".

### Example: there are 12 chocolates, and 3 friends want to share them, how do they divide the chocolates?

12 Chocolates

12 Chocolates Divided by 3

Answer: 12 divided by 3 is 4. They get 4 each.

## Symbols

We use the **÷** symbol, or sometimes the **/** symbol to mean divide:

12 ÷ 3 = 4 12 / 3 = 4 |

Let's use both symbols here so we get used to them.

## More Examples

Here are some more examples:

## Opposite of Multiplying

Division is the **opposite of multiplying**. When we know a multiplication fact we can find a division fact:

Example: 3 × 5 = 15, so 15 / 5 = 3.

Also 15 / 3 = 5.

Why? Well, think of the numbers in rows and columns like in this illustration:

Multiplication... | ...Division | |
---|---|---|

3 groups of 5 make 15... | ...so 15 divided by 3 is 5 | |

and also: | ||

5 groups of 3 make 15... | ...so 15 divided by 5 is 3. |

So there are **four related facts**:

- 3 × 5 = 15
- 5 × 3 = 15
- 15 / 3 = 5
- 15 / 5 = 3

Knowing your Multiplication Tables can help you with division!

### Example: What is 28 ÷ 7 ?

Searching around the multiplication table we find that 28 is 4 × 7, so 28 divided by 7 must be 4.

Answer: 28 ÷ 7 = 4

## Names

There are special names for each number in a division:

dividend ÷ divisor = quotient

### Example: in 12 ÷ 3 = 4:

- 12 is the dividend
- 3 is the divisor
- 4 is the quotient

## But Sometimes It Does Not Work Perfectly!

Sometimes we cannot divide things up exactly ... there may be something left over.

**Example:** There are **7** bones to share with **2** pups.

But 7 cannot be divided exactly into 2 groups,

so each pup gets 3 bones,

but there will be **1 left over**:

We call that the **Remainder**.

Read more about this at Division and Remainders

## Exercises

Try these division worksheets.