Understand Long Division with Remainders

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

We can write remainders as decimals, fractions, or whole numbers.

In this activity, we will write them as whole numbers.

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)

We have shown that 1986 ÷ 15 = 132 r6

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.