Divide a 2-digit by a 1-digit number using representations with exchanging and remainders | Maths

Starter quiz

I can make ______ groups of 3 ones from the dividend 36.
- 11
- 12 ✓
- 13
- 14
For the division equation: 32 ÷ 2 You have to regroup 1 ten for ______ ones.
- '10' ✓
When dividing 70 by 5, how many 10s will you have to regroup for 1s?
- 1 ten for 10 ones.
- 2 tens for 20 ones. ✓
- 3 tens for 30 ones.
Look at the image representing 80 ÷ 5 What value goes in the blank space?
- '30' ✓
Match the division equations to the correct instances of regrouping.
- 44 ÷ 2
  
  ⇔
  
  0 regroup ✓
- 52 ÷ 4
  
  ⇔
  
  regroup 1 ten ✓
- 48 ÷ 2
  
  ⇔
  
  0 regroup ✓
- 50 ÷ 3
  
  ⇔
  
  regroup 2 tens ✓
Solve the following question: 95 ÷ 5 = ______ Record your calculation using an informal written method.
- '19' ✓

Order the division expressions in ascending order.
- 1
  
  ⇔
  
  12 ÷ 12
- 2
  
  ⇔
  
  55 ÷ 11
- 3
  
  ⇔
  
  40 ÷ 5
- 4
  
  ⇔
  
  33 ÷ 3
19 cupcakes are shared between 4 children. Choose the correct statement for the representation.
- Each child gets 4 cupcakes with 3 leftover. This can be written as 4 r 3 ✓
- Each child gets 3 cupcakes with 4 leftover. This can be written as 3 r 4
- Each child gets 19 cupcakes with 3 leftover. This can be written as 19 r 3
Match the division equation with the correct amount of regrouping.
- 40 ÷ 4 =
  
  ⇔
  
  0 regroup ✓
- 50 ÷ 4 =
  
  ⇔
  
  regroup 1 ten ✓
- 60 ÷ 4 =
  
  ⇔
  
  regroup 2 tens ✓
- 70 ÷ 4 =
  
  ⇔
  
  regroup 3 tens ✓
Your divisor is 7. By partitioning the dividend of 57, identify what the remainder will be. Write your answer in numeral form.
- '1' ✓
Which division expressions have an answer of 2 r 2?
- a
- b ✓
- c
- d
- e ✓
Solve the word problem using an informal method: 59 glow sticks are shared equally between 3 classes. How many glowsticks does each class get? Write your answer in numeral form.
- '19 r 2' ✓

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Partitioning the dividend into tens and ones helps when dividing a 2-digit by a 1-digit number.
If the dividend is not a multiple of the divisor, there will be a remainder.
If the remainder is a number of tens, you can exchange the tens for ones and continue to divide.
If the number of ones is not a multiple of the divisor, there will be a remainder as part of the quotient.

Pupils may forget to record the remainder.

Remind children that if the ones are not divisible there will be a remainder and that this is expressed as 'r'.

Remainder - A remainder is an amount left over after division.
Regroup / regrouping - The process of unitising and exchanging between place values is known as regrouping.