# Short division

To divide a large number by a -digit number you can set it out like this:

1. goes into once with remaining (remainder ), so put above the hundreds column and carry the to the tens column.
2. goes into five times, remainder , so put above the tens column and carry the to the units column.
3. goes into exactly three times, so put above the units column.

So,

Sometimes, a number does not divide into another number exactly.

In this case, we can either give the answer as a whole number along with a remainder, or we can give the answer as a decimal. The decimal answer may be a or a . Often, decimal answers may be rounded to a required number of .

For example:

Method 1 - answer as a whole number with a remainder.

1. goes into once with remaining (remainder ), so put above the hundreds column and carry the to the tens column.
2. goes into three times, remainder , so put above the tens column and carry the to the units column.
3. goes into seven times, remainder , so put above the units column and have a remainder of .

So, remainder .

We write this with an for 'remainder', so it looks like this:

Method 2 - decimal answer, rounded to decimal place.

1. goes into once with remaining (remainder ), so put above the hundreds column and carry the to the tens column.
2. goes into three times, remainder , so put above the tens column and carry the to the units column.
3. goes into seven times, remainder , so put above the units column and carry the to the tenths column (writing the as as does not divide into it exactly).
4. goes into seven times, remainder , so put above the tenths column and carry the to the hundredths column.
5. goes into once, remainder , etc

So,

(correct to decimal place).

This method is called short division.