In this activity, we will divide numbers with up to four digits by two-digit numbers using long division.

There will be remainders which should be written as decimals.

Let's look at 1986 ÷ 15

We start by setting out the calculation as usual, like this, and then start dividing.

First, we divide 19 ÷ 15 = 1 rem 4.

(Remember that 1 × 15 = 15 and so the remainder is 19 - 15 = 4.)

Bring the 8 down next to the 4.

Then we divide 48 ÷ 15 = 3 rem 3.

(Remember that 3 × 15 = 45 and so the remainder is 48 - 45 = 3.)

Bring the 6 down next to the 3.

Now we divide 36 ÷ 15 = 2 rem 6.

(Remember that 2 × 15 = 30 and so the remainder is 36 - 30 = 6)

The final remainder is 6, but we want to write this as a decimal.

We now **change 1986 to 1986.000**

We're not sure how many zeros we will need, but it doesn't matter because

1986 = 1986.0 = 1986.00 = 1986.000 etc.

Bring the new 0 down next to the 6.

Now we can divide 60 ÷ 15 = 4 rem 0.

(Remember that 4 × 15 = 60 and so the remainder is 60 - 60 = 0.)

We must put a decimal point **in the answer line** *above *the decimal point of 1986**.**000.

We didn't in fact need the last two zeros, but remember that we didn't know how many we would need.

We have shown that 1986 ÷ 15 = **132.4**

Are you ready to start the questions now? You can look at this example again at any point by clicking on the red help button on the screen.