CheerMath

Grade 5 Division Practice

Use Long Division

Learn long division! Divide two- and three-digit numbers step by step, handle zeros in the answer, find missing numbers, and solve sharing problems with remainders.

Also known as Class 5 maths — the same topics, whether your school calls it grade, class or year.

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Sample questions

A few samples from this topic — try one, then show the answer.

  1. Use Long Division with 2-Digit Numbers Without Remainders

    What is the result of 3 ) 85‾ 3\,\overline{\smash{\big)}\,85}\,?
    Show answer
    Answer:
    28 R 1

  2. Check Long Division Using Multiplication

    Which multiplication checks that 68  /  \; / \;4  =  \; = \;17?
    • 4×\times16=64
    • 4×\times17=68
    • 17×\times17=289
    • 68×\times4=272
    Show answer
    Answer:
    4×\times17=68

  3. Use Long Division to Solve Equal-Sharing and Grouping Problems

    A baker has 92 cookies and puts them into bags of 9. How many full bags can be made, and how many cookies are left over?
    Show answer
    Answer:
    10 R 2

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A worked example

What is the result of 3 ) 85‾ 3\,\overline{\smash{\big)}\,85}\,?
  1. We need to find 3 ) 85‾ 3\,\overline{\smash{\big)}\,85}\,. Here 85  \;is the dividend and 3  \;is the divisor. The answer will have a quotient and a remainder.
  2. 3 ) ‾283 ) 85‾65‾2524‾1\begin{array}{r} \phantom{3\,\overline{\smash{\big)}\,}}28 \\ 3\,\overline{\smash{\big)}\,85} \\ \underline{6\phantom{5}} \\ 25 \\ \underline{24} \\ 1 \end{array} \\3 goes into 8, 2 times→3×2=6\to 3 \times 2 = 6. Subtract→8−6=2\to 8 - 6 = 2. Bring down to get 25\\3 goes into 25, 8 times→3×8=24\to 3 \times 8 = 24. Subtract→25−24=1\to 25 - 24 = 1. The remainder is 1
  3. The quotient is 28  \; with a remainder of 1 \,.
  4. Check: 28  ×  \; \times \;3  +  \; + \;1  =  \; = \;84  +  \; + \;1  =  \; = \;85  ✓\; \checkmark

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