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      Use short division when the hundreds digit is smaller than the divisor

      Lesson details

      Learning outcome

      I can use short division when the hundreds digit is smaller than the divisor.

      Key learning points

      1. If the hundreds digit is smaller than the divisor then it is exchanged for tens and included with the tens digit
      2. If the 100s digit is smaller than the divisor then no partial product is recorded above the 100s digit of the dividend

      Keywords

      • Dividend - What we are dividing.

      • Divisor - What we are dividing by.

      • Quotient - The result after division has taken place.

      • Regroup / Regrouping - The process of unitising and exchanging between place values.

      Common misconception

      Pupils may confuse the terminology of dividend and divisor. Pupils may regroup the incorrect amount.

      Ensure pupils can identify the dividend and the divisor. Use language of unitisation to correct any place value misconceptions.

      Teacher tip

      A quick recap / game of the inequalities signs will be helpful. In doing so, pupils will understand that if the divisor is greater than the 100s digit in the dividend, this will result in a 2-digit quotient.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      2 is the __________.

      An image in a quiz
      product
      dividend
      Correct answer: divisor
      quotient

      Q2.
      Select the statements that are true.

      6 × 3 > 3 × 6
      11 × 1 < 11 × 0
      Correct answer: 20 × 1 = 1 × 20
      Correct answer: 13 × 0 < 1 × 13
      Correct answer: 4 × 1 < 4 × 11

      Q3.
      30 tens can be regrouped as hundreds.

      Correct Answer: 3

      Q4.
      Look at the short division. You can make groups of 3 ones from the 15 ones in the dividend.

      An image in a quiz
      Correct Answer: 5, five

      Q5.
      Which calculations will require two or more instances of regrouping?

      An image in a quiz
      A
      B
      Correct answer: C

      Q6.
      Use short division to solve this problem: Izzy is packing 371 t-shirts to sell at a funfair. She packs them equally into three large boxes. How many T-shirts will be in each box?

      Correct Answer: 123, 123r2, 123 r2, 123 r 2

      6 Questions

      Q1.
      Identify the multiples of 3.

      Correct answer: 3
      Correct answer: 9
      Correct answer: 15
      16
      Correct answer: 21

      Q2.
      6 hundreds can be regrouped for ___ tens.

      An image in a quiz
      6
      Correct answer: 60
      66
      600

      Q3.
      If you were to divide the number by 9, which of these would require regrouping?

      900
      Correct answer: 800
      909

      Q4.
      Choose the correct short division for this equation: 325 ÷ 5.

      An image in a quiz
      A
      B
      Correct answer: C

      Q5.
      Use short division to calculate 764 ÷ 8 = . Write your answer in numeral form, using r if there is a remainder.

      Correct Answer: 95 r 1, 95r1, 95 r1, 95r 1

      Q6.
      Look at the short division, what is the missing number?

      An image in a quiz
      Correct Answer: 6

      To help you plan your 5 maths lesson on: Use short division when the hundreds digit is smaller than the divisor, download all teaching resources for free and adapt to suit your pupils' needs...