How_To_Be_Good_At_Math

148 CALCULATING •^ CONVERTING REMAINDERS

Converting remainders

We can convert the remainder in the answer to a division

calculation into either a decimal or a fraction.

When you write your

answer above the division

bracket, line up the decimal

point with the decimal

point below the bracket.

Start by writing out the

calculation like this.

75 ÷ 6 =?

First, divide the first digit in the dividend,

7, by 6. As 6 can go into 7 only once,

write 1 above the 7 on the division bracket,

in the tens column. Write the 6 beneath the

7, then subtract this 6 from 7 to get your

remainder, which is 1.

Now we move on to the second digit

in the dividend which is 5. Bring this

down to sit next to the 1 at the bottom of

the calculation. Divide 15 by 6. We know

6 × 2 = 12, so write 2 on the division

bracket in the ones column. Write 12

beneath 15 and subtract 12 from 15.

The answer is 3. This is the remainder.

6

2

6

5

−

7 5

Let’s divide 75 by 6 using expanded

short division and convert the

remainder into a decimal.

Converting remainders into decimals

If the answer to a division calculation has a remainder, we can

convert that into a decimal by simply adding a decimal point to

the dividend and continuing with the calculation.

1

1

1 2

3

6

6

− 6

7

7

5

5

Write down how

many 6s you’ve

subtracted from 7

Label the

columns to

show place

values

Draw a line and write

what’s left over here,

keeping the place

values lined up

Bring down the 5

1

1

T O 101

T O 101

T O 101

148_149_Coverting_remainders.indd 148 29/02/2016 18:57