The long division algorithm is the short division algorithm with the subtractions set out. The long division algorithm is an efficient and clear way to set out division, particularly with larger divisions.

\longdivision[stage=0]{861}{7}\quad\longdivision[stage=1]{861}{7}\quad\longdivision[stage=2]{861}{7}\quad\longdivision[stage=3]{861}{7}

\begin{exercises}
    \begin{questions}
        \Question[1] Find \(8618 \div 27\), using the long division algorithm.
        \Question[] Use the long division algorithm to calculate:
        \begin{parts}
            \Part[1] \(728 \div 13\)
            \begin{solutionorbox}[1in]
            \end{solutionorbox}
            \Part[1] \(1050 \div 14\)
            \begin{solutionorbox}[1in]
            \end{solutionorbox}
            \Part[1] \(1344 \div 16\)
            \begin{solutionorbox}[1in]
            \end{solutionorbox}
            \Part[1] \(4047 \div 19\)
            \begin{solutionorbox}[1in]
            \end{solutionorbox}
        \end{parts}
        \Question[4] Use the long division algorithm to calculate:
        \begin{parts}
            \part \(2982 \div 71\)
            \part \(5244 \div 57\)
            \part \(3268 \div 43\)
            \part \(1743 \div 102\)
        \end{parts}
        \Question[2] If \(\$ 4260\) is divided equally among 15 people, how much will each person receive?
            \begin{solutionorbox}[2in]
            \end{solutionorbox}
        \Question[2] If \(\$ 11572\) is divided equally among 22 people, how much will each person receive?
            \begin{solutionorbox}[2in]
            \end{solutionorbox}
        \Question[2] A piece of string that is \(1170 \mathrm{~cm}\) long is to be cut into 26 equal lengths. How long is each piece?
            \begin{solutionorbox}[2in]
            \end{solutionorbox}
        \Question[2] There are 5420 golf balls to be packed into boxes of 25 . How many boxes will be filled and how many golf balls will be left over?
            \begin{solutionorbox}[2in]
            \end{solutionorbox}
        \Question[2] If 1598 school children are to be transported on 34 buses, how many children will there be on each bus, if each bus contains the same number of children?
            \begin{solutionorbox}[2in]
            \end{solutionorbox}
        \Question[2] There are 27 buses available to transport 1107 fans to a football match. How many people will there be on each bus, if each bus contains the same number of people?
            \begin{solutionorbox}[2in]
            \end{solutionorbox}
        \Question[2] A computer program runs for 7568 seconds. Convert this to hours, minutes and seconds.
            \begin{solutionorbox}[2in]
            \end{solutionorbox}
    \end{questions}
\end{exercises}

