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Short Division with Remainders

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Short Division with Remainders

Use short division. Show your working where space is provided. For word problems, explain what the remainder means in that situation.

Short division practice

Calculate each division. Give your answer as a quotient with a remainder where needed.

1.Calculate 224 ÷ 6 using short division.
2.Calculate 91 ÷ 4 using short division.
3.Calculate 538 ÷ 7 using short division.
4.Calculate 326 ÷ 5 using short division.

Division language

Use the correct terms and check your understanding.

5.In 224 ÷ 6, complete each statement using dividend, divisor, quotient or remainder: 224 is the ; 6 is the ; the quotient is ; the remainder is .
6.Which is the correct result of 172 ÷ 9?
  • 18 remainder 10
  • 19 remainder 1
  • 20 remainder 2
  • 19 remainder 3

Remainders in real situations

Work out each division, then use the context to decide what the answer means.

7.At robotics club, Isla has 203 small parts to share equally among 8 teams. How many parts does each team receive, and how many are left?
8.Rawiri is packing 317 robot wheels into bags that hold 9 wheels each. How many completely filled bags can he make, and how many wheels will be unpacked?
9.Tui is taking 146 club members to an event. Each van can carry 8 members. What is the smallest number of vans needed? Explain why the remainder matters.

Think about the remainder

Explain how the remainder is used in each situation.

10.A set of 95 stickers is shared equally among 7 students. The calculation is 95 ÷ 7 = 13 remainder 4. What does the remainder represent?
11.A group has 157 people and buses carry 12 people each. The calculation is 157 ÷ 12 = 13 remainder 1. What does the remainder mean when working out the number of buses?
12.Which are valid ways to express the part left over after division? Select all that apply.
  • As leftover whole items
  • As a fraction of the divisor
  • As a decimal, when appropriate
  • As a percentage in every situation

Show and explain your method

Write each step clearly so another student can follow your thinking.

13.Use short division to calculate 251 ÷ 6. Show your working and state the quotient and remainder.
14.Describe the steps you would use to divide 278 by 5 using short division and find the remainder.

4 printable pages

  • Short Division with Remainders, page 1 of 4: Short division practice

    Page 1

  • Short Division with Remainders, page 2 of 4: Division language, Remainders in real situations

    Page 2

  • Short Division with Remainders, page 3 of 4: Think about the remainder, Show and explain your method

    Page 3

  • Short Division with Remainders, page 4 of 4: 14. Describe the steps you would use to divide 278 by 5 using short division and find the…

    Page 4

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