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In this worksheet we will divide numbers with up to 4 digits by 2-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.

 

Lond division

 

First we divide 19 ÷ 15 = 1 rem 4.

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

 

Long division

 

 

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.)

 

Long division

 

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 39 - 30 = 9.)

 

Long division

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.

 

Long division with a decimal remainder

 

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.

 

Long division with a decimal remainder

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

10 questions