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Solve the following long division problems: 2. 5 and)72, 5. 3 and)65

Mathematics

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Here are the solutions for the long division problems.

Problem (2): 5)72‾5 \overline{)72}

  1. Divide 7 by 5.

    The quotient is 1.

    15)72‾−5↓2\begin{array}{r} 1 \\ 5 \overline{)72} \\ -5 \downarrow \\ \hline 2 \end{array}
  2. Bring down the next digit, 2, to make 22.

    15)72‾−5↓22\begin{array}{r} 1 \\ 5 \overline{)72} \\ -5 \downarrow \\ \hline 22 \end{array}
  3. Divide 22 by 5.

    The quotient is 4.

    145)72‾−5↓22−202\begin{array}{r} 14 \\ 5 \overline{)72} \\ -5 \downarrow \\ \hline 22 \\ -20 \\ \hline 2 \end{array}

    The quotient is 14 and the remainder is 2.

    The answer is 14 R 2\boxed{\text{14 R 2}}.


    Problem (5): 3)65‾3 \overline{)65}

  4. Divide 6 by 3.

    The quotient is 2.

    23)65‾−6↓0\begin{array}{r} 2 \\ 3 \overline{)65} \\ -6 \downarrow \\ \hline 0 \end{array}
  5. Bring down the next digit, 5, to make 05 (or 5).

    23)65‾−6↓05\begin{array}{r} 2 \\ 3 \overline{)65} \\ -6 \downarrow \\ \hline 05 \end{array}
  6. Divide 5 by 3.

    The quotient is 1.

    213)65‾−6↓05−32\begin{array}{r} 21 \\ 3 \overline{)65} \\ -6 \downarrow \\ \hline 05 \\ -3 \\ \hline 2 \end{array}

    The quotient is 21 and the remainder is 2.

    The answer is 21 R 2\boxed{\text{21 R 2}}.

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