# Division Tips and Tricks

## Even Numbers

If a number is even, ending in 0, 2, 4, 6 or 8, it can always be divided by 2.

## Numbers ending with 5 or 0

These always can be divided by 5. (Check out the 5 times table - 5,10,15,20,25 etc)

## Numbers ending with 0

These can always be divided by 2,5 and 10.

## Dividing by 2

Is the same as halving and is fairly easy for an even number - if the number is difficult or large, partition the number into hundreds, tens, units etc, then half them and add up the results.

### 574 ÷ 2 is 500 + 70 +4 ... divide by 2 gives 250 + 35 + 2 = 287

or split the number in a convenient way... 96 ÷ 2.
96 is the same as 80 + 16 ... divide by 2 gives 40 + 8 = 48

If the number is odd, ending with 1, 3, 5, 7 or 9, a useful technique is to subtract 1 from the number which is now even - half that number as above and then add on ½.

## Dividing by 3

Add up all the digits in the number to get a single number - if that number can be divided by 3, then the original number can also be divided by 3.

## Dividing by 4

Is the same as dividing by 2 and then dividing by 2 again.

## Dividing by 5

If the number ends in a 5 or a 0, then it can be divided by 5.

An easy method of dividing by 5, is to divide by 10 and then double the result.

## Dividing by 6

A number can be divided by 6 if it can be divided by 3 and is an even number.

## Dividing by 7

To find out if a number can be divided by 7 - Take the last digit of the number and double it - then subtract the result from the first part of the number. If the answer is divisible by 7, then so is the original number.

## Dividing by 8

Similar to 4, but do it again ... halve, then halve, then halve again.

## Dividing by 9

Add up all the digits in the number to get a single number - if that number is 9, then it can be divided by 9.

## Dividing by 10

If the number ends in 0 then it can be evenly divisible by 10.

To divide by 10, move all the digits 1 place to the right (see place value)

### 4525 becomes 452.5

or if the number is evenly divisible by 10, it will end in 0, so simply remove the 0.

## Dividing by itself

A number that is divided by the same number is always 1.

## To check your division calculations

Use the inverse (opposite) - multiplication is the inverse of division.