Using short and long division to divide by a 2-digit divisor | Maths

Starter quiz

Match the key words to their definitions

dividend

⇔

The amount that you want to divide. ✓

divisor

⇔

The number we divide by. ✓

quotient

⇔

The result after division has taken place. ✓
Use 27 × 3 = 81 to calculate 27 × 6 = ______

'162' ✓
Calculate 840 ÷ 7 = ______

'120' ✓
Which expression could help to solve this problem?

2,340 ÷ 30

234 ÷ 3 ✓

234 ÷ 30

2,340 ÷ 0.3

23,400 ÷ 30
Which expressions could you use to solve this problem? Some tomatoes have a total mass of 1.44 kg. Each tomato has a mass of 80 g. How many tomatoes are there altogether?

144 ÷ 8 ✓

1,440 ÷ 80 ✓

144 ÷ 80

1,440 ÷ 8

144 x 8
Sam’s mum takes part in an 2.7 km swimming race. She swims 60 m in one minute. How long will it take her to complete the race? ______ minutes.

'45' ✓

Exit quiz

Match the multiplication equations to related division facts.

10 × 12 = 120

⇔

120 ÷ 10 = 12 ✓

2 × 12 = 24

⇔

24 ÷ 2 = 12 ✓

4 × 12 = 48

⇔

48 ÷ 4 = 12 ✓

20 × 12 = 240

⇔

240 ÷ 20 = 12 ✓

24 × 12 = 288

⇔

288 ÷ 24 = 12 ✓
Which part of the equation is written above the division frame?

dividend

divisor

quotient ✓

factor

product
How many hundreds have been regrouped?

12

24

2 ✓

288

4
What is the missing digit in this short division?

'6' ✓
Which of the following is a reasonable estimate for the following equation. 576 ÷ 12 =

30

40

45 ✓

50

60
Calculate the equation using long division. 576÷ 12 = ______

'48' ✓

Worksheet

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Lesson Details

Key learning points

Long division records the subtraction as a calculation underneath the dividend.
Long division records the regrouping alongside the subtraction.
There are similarities and differences between long and short division.

Common misconception

Pupils may not unitise when using long division and make errors (e.g. when dividing 7 hundreds by 12).

Explain to pupils that they are looking for multiples of the divisor (1 hundred × 12 = 1,200). This becomes clearer when dividing the tens digits (6 tens × 12 = 72 tens).

Keywords

Estimate - Estimate means to find a value that is close enough to the right answer, usually with some thought or calculation involved.
Long division - Long division is a method used for dividing large numbers by breaking the number down into smaller groups.
Remainder - A remainder is an amount left after a division.