Dividing by a 2-digit divisor including using long division | Maths

Starter quiz

Match the multiplication equations to related division facts.
- 5 × 8 = 40
  
  ⇔
  
  40 ÷ 8 = 5 ✓
- 2 × 8 = 16
  
  ⇔
  
  16 ÷ 2 = 8 ✓
- 20 × 8 = 160
  
  ⇔
  
  160 ÷ 8 = 20 ✓
- 10 × 8 = 80
  
  ⇔
  
  80 ÷ 10 = 8 ✓
- 25 × 8 = 200
  
  ⇔
  
  200 ÷ 25 = 8 ✓
Match the division expressions to their quotients.
- 210 ÷ 7
  
  ⇔
  
  30 ✓
- 560 ÷ 8
  
  ⇔
  
  70 ✓
- 630 ÷ 90
  
  ⇔
  
  7 ✓
- 630 ÷ 70
  
  ⇔
  
  9 ✓
- 560 ÷ 70
  
  ⇔
  
  8 ✓
Complete the following equation using short division. 672 ÷ 12 = ______
- '56' ✓
What is the missing working from this algorithm?
- 4 tens × 12 ✓
- 8 tens × 12
- 4 ones × 12
- 12 ones × 4
- 12 tens × 4
Which of the following is a reasonable estimate for the following equation 432 ÷ 12 =
- 30
- 40
- 35 ✓
- 20
- 25
Calculate the equation using long division. 432 ÷ 12 = ___
- '36' ✓

Exit quiz

Use the multiplication facts in the table to derive 40 × 13 = ______
- '520' ✓
Use the multiplication facts in the table to derive 15 x 13 = ______
- '195' ✓
Match the equations to their products.
- 1 × 17 =
  
  ⇔
  
  17 ✓
- 2 × 17 =
  
  ⇔
  
  34 ✓
- 4 × 17 =
  
  ⇔
  
  68 ✓
- 5 × 17 =
  
  ⇔
  
  85 ✓
- 10 × 17 =
  
  ⇔
  
  170 ✓
If I know 17 × 5 = 85, I also know that 17 × 50 = ______
- '850' ✓
Which of the following is a reasonable estimate for the following equation 918 ÷ 17 =
- 55 ✓
- 50
- 65
- 60
- 45
Calculate the equation using long division. 918 ÷ 17 = ______
- '54' ✓

Worksheet

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Lesson Details

Key learning points

Different strategies can be used to solve division problems.
Multiplication facts are really useful in solving division problems.
Known facts and place value can help to estimate the answer to a long division.

Common misconception

Pupils may struggle to set out the long division algorithm correctly.

Use the modelling from the lesson to focus on this, especially when writing multiples of the divisor (e.g. 3 tens × 17 = 51 tens) and subtracting this from the dividend.

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.