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Perform the following divisions using long division, showing all steps: a) 86 ÷ 12 b) 707 ÷ 50 c) 788 ÷ 25

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Answers

4 parts
a

7 remainder 2\text{7 remainder 2}

b

14 remainder 7\text{14 remainder 7}

c

31 remainder 13\text{31 remainder 13}

d
29

Step-by-step solution

17 steps

Here are the calculations using long division:

Part a· 2 steps

86÷1286 \div 12

  1. Divide 86 by 12.

    712)86‾−842\begin{array}{r} 7 \\ 12 \overline{) 86} \\ -84 \\ \hline 2 \end{array}

    12 goes into 86 seven times (12×7=8412 \times 7 = 84).

  2. Subtract 84 from 86.

    86−84=286 - 84 = 2.
    The remainder is 2.

    The result is 7 remainder 2\boxed{\text{7 remainder 2}}.

Part b

14 remainder 7\text{14 remainder 7}

707÷50707 \div 50

  1. Divide 70 by 50.

    150)707‾−50↓20\begin{array}{r} 1 \\ 50 \overline{) 707} \\ -50 \downarrow \\ \hline 20 \end{array}

    50 goes into 70 one time (50×1=5050 \times 1 = 50).

  2. Subtract 50 from 70.

    70−50=2070 - 50 = 20.

  3. Bring down the next digit, 7, to make 207.

  4. Divide 207 by 50.

    1450)707‾−50↓207−2007\begin{array}{r} 14 \\ 50 \overline{) 707} \\ -50 \downarrow \\ \hline 207 \\ -200 \\ \hline 7 \end{array}

    50 goes into 207 four times (50×4=20050 \times 4 = 200).

  5. Subtract 200 from 207.

    207−200=7207 - 200 = 7.
    The remainder is 7.

    The result is 14 remainder 7\boxed{\text{14 remainder 7}}.

Part c

31 remainder 13\text{31 remainder 13}

788÷25788 \div 25

  1. Divide 78 by 25.

    325)788‾−75↓3\begin{array}{r} 3 \\ 25 \overline{) 788} \\ -75 \downarrow \\ \hline 3 \end{array}

    25 goes into 78 three times (25×3=7525 \times 3 = 75).

  2. Subtract 75 from 78.

    78−75=378 - 75 = 3.

  3. Bring down the next digit, 8, to make 38.

  4. Divide 38 by 25.

    3125)788‾−75↓38−2513\begin{array}{r} 31 \\ 25 \overline{) 788} \\ -75 \downarrow \\ \hline 38 \\ -25 \\ \hline 13 \end{array}

    25 goes into 38 one time (25×1=2525 \times 1 = 25).

  5. Subtract 25 from 38.

    38−25=1338 - 25 = 13.
    The remainder is 13.

    The result is 31 remainder 13\boxed{\text{31 remainder 13}}.

Part d29

725÷25725 \div 25

  1. Divide 72 by 25.

    225)725‾−50↓22\begin{array}{r} 2 \\ 25 \overline{) 725} \\ -50 \downarrow \\ \hline 22 \end{array}

    25 goes into 72 two times (25×2=5025 \times 2 = 50).

  2. Subtract 50 from 72.

    72−50=2272 - 50 = 22.

  3. Bring down the next digit, 5, to make 225.

  4. Divide 225 by 25.

    2925)725‾−50↓225−2250\begin{array}{r} 29 \\ 25 \overline{) 725} \\ -50 \downarrow \\ \hline 225 \\ -225 \\ \hline 0 \end{array}

    25 goes into 225 nine times (25×9=22525 \times 9 = 225).

  5. Subtract 225 from 225.

    225−225=0225 - 225 = 0.
    The remainder is 0.

    The result is 29\boxed{29}.

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