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# Dividing Decimals

Quick method: use Long Division without the decimal point,
then re-insert the decimal point in the answer.

## Dividing a Decimal Number by a Whole Number

To divide a decimal number by a whole number:

• Use Long Division (ignoring the decimal point)
• Then put the decimal point in the same spot as the dividend (the number being divided)

### Example: Divide 9.1 by 7

Ignore the decimal point and use Long Division:

 13 7 )91    9    7    21    21     0

Put the decimal point in the answer directly above the decimal point in the dividend:

 1.3 7 )9.1

## Dividing by a Decimal Number

But what if you want to divide by a Decimal Number?

The trick is to convert the number you are dividing by to a whole number first, by shifting the decimal point of both numbers to the right:

Now you are dividing by a whole number, and can continue as normal.

It is safe to do this if you remember to shift the decimal point of both numbers the same number of places.

### Example 2: Divide 5.39 by 1.1

You are not dividing by a whole number, so you need to move the decimal point so that you are dividing by a whole number:

 move 1 5.39 53.9 1.1 11 move 1

You are now dividing by a whole number, so you can proceed:

Ignore the decimal point and use Long Division:

 049 11 )539     5     0     53     44      99      99       0

Put the decimal point in the answer directly above the decimal point in the dividend:

 04.9 11 )53.9