Solve 87529800/960=

$$\frac{ 87529800 }{ 960 } =$$

Evaluate

$$\frac{729415}{8}=91176.875$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 87529800

$$\begin{array}{l}\phantom{960)}\phantom{1}\\960\overline{)87529800}\\\end{array}$$

Since 8 is less than 960, use the next digit 7 from dividend 87529800 and add 0 to the quotient

$$\begin{array}{l}\phantom{960)}0\phantom{2}\\960\overline{)87529800}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 87529800

$$\begin{array}{l}\phantom{960)}0\phantom{3}\\960\overline{)87529800}\\\end{array}$$

Since 87 is less than 960, use the next digit 5 from dividend 87529800 and add 0 to the quotient

$$\begin{array}{l}\phantom{960)}00\phantom{4}\\960\overline{)87529800}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 87529800

$$\begin{array}{l}\phantom{960)}00\phantom{5}\\960\overline{)87529800}\\\end{array}$$

Since 875 is less than 960, use the next digit 2 from dividend 87529800 and add 0 to the quotient

$$\begin{array}{l}\phantom{960)}000\phantom{6}\\960\overline{)87529800}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 87529800

$$\begin{array}{l}\phantom{960)}000\phantom{7}\\960\overline{)87529800}\\\end{array}$$

Find closest multiple of 960 to 8752. We see that 9 \times 960 = 8640 is the nearest. Now subtract 8640 from 8752 to get reminder 112. Add 9 to quotient.

$$\begin{array}{l}\phantom{960)}0009\phantom{8}\\960\overline{)87529800}\\\phantom{960)}\underline{\phantom{}8640\phantom{9999}}\\\phantom{960)9}112\\\end{array}$$

Use the 5^{th} digit 9 from dividend 87529800

$$\begin{array}{l}\phantom{960)}0009\phantom{9}\\960\overline{)87529800}\\\phantom{960)}\underline{\phantom{}8640\phantom{9999}}\\\phantom{960)9}1129\\\end{array}$$

Find closest multiple of 960 to 1129. We see that 1 \times 960 = 960 is the nearest. Now subtract 960 from 1129 to get reminder 169. Add 1 to quotient.

$$\begin{array}{l}\phantom{960)}00091\phantom{10}\\960\overline{)87529800}\\\phantom{960)}\underline{\phantom{}8640\phantom{9999}}\\\phantom{960)9}1129\\\phantom{960)}\underline{\phantom{99}960\phantom{999}}\\\phantom{960)99}169\\\end{array}$$

Use the 6^{th} digit 8 from dividend 87529800

$$\begin{array}{l}\phantom{960)}00091\phantom{11}\\960\overline{)87529800}\\\phantom{960)}\underline{\phantom{}8640\phantom{9999}}\\\phantom{960)9}1129\\\phantom{960)}\underline{\phantom{99}960\phantom{999}}\\\phantom{960)99}1698\\\end{array}$$

Find closest multiple of 960 to 1698. We see that 1 \times 960 = 960 is the nearest. Now subtract 960 from 1698 to get reminder 738. Add 1 to quotient.

$$\begin{array}{l}\phantom{960)}000911\phantom{12}\\960\overline{)87529800}\\\phantom{960)}\underline{\phantom{}8640\phantom{9999}}\\\phantom{960)9}1129\\\phantom{960)}\underline{\phantom{99}960\phantom{999}}\\\phantom{960)99}1698\\\phantom{960)}\underline{\phantom{999}960\phantom{99}}\\\phantom{960)999}738\\\end{array}$$

Use the 7^{th} digit 0 from dividend 87529800

$$\begin{array}{l}\phantom{960)}000911\phantom{13}\\960\overline{)87529800}\\\phantom{960)}\underline{\phantom{}8640\phantom{9999}}\\\phantom{960)9}1129\\\phantom{960)}\underline{\phantom{99}960\phantom{999}}\\\phantom{960)99}1698\\\phantom{960)}\underline{\phantom{999}960\phantom{99}}\\\phantom{960)999}7380\\\end{array}$$

Find closest multiple of 960 to 7380. We see that 7 \times 960 = 6720 is the nearest. Now subtract 6720 from 7380 to get reminder 660. Add 7 to quotient.

$$\begin{array}{l}\phantom{960)}0009117\phantom{14}\\960\overline{)87529800}\\\phantom{960)}\underline{\phantom{}8640\phantom{9999}}\\\phantom{960)9}1129\\\phantom{960)}\underline{\phantom{99}960\phantom{999}}\\\phantom{960)99}1698\\\phantom{960)}\underline{\phantom{999}960\phantom{99}}\\\phantom{960)999}7380\\\phantom{960)}\underline{\phantom{999}6720\phantom{9}}\\\phantom{960)9999}660\\\end{array}$$

Use the 8^{th} digit 0 from dividend 87529800

$$\begin{array}{l}\phantom{960)}0009117\phantom{15}\\960\overline{)87529800}\\\phantom{960)}\underline{\phantom{}8640\phantom{9999}}\\\phantom{960)9}1129\\\phantom{960)}\underline{\phantom{99}960\phantom{999}}\\\phantom{960)99}1698\\\phantom{960)}\underline{\phantom{999}960\phantom{99}}\\\phantom{960)999}7380\\\phantom{960)}\underline{\phantom{999}6720\phantom{9}}\\\phantom{960)9999}6600\\\end{array}$$

Find closest multiple of 960 to 6600. We see that 6 \times 960 = 5760 is the nearest. Now subtract 5760 from 6600 to get reminder 840. Add 6 to quotient.

$$\begin{array}{l}\phantom{960)}00091176\phantom{16}\\960\overline{)87529800}\\\phantom{960)}\underline{\phantom{}8640\phantom{9999}}\\\phantom{960)9}1129\\\phantom{960)}\underline{\phantom{99}960\phantom{999}}\\\phantom{960)99}1698\\\phantom{960)}\underline{\phantom{999}960\phantom{99}}\\\phantom{960)999}7380\\\phantom{960)}\underline{\phantom{999}6720\phantom{9}}\\\phantom{960)9999}6600\\\phantom{960)}\underline{\phantom{9999}5760\phantom{}}\\\phantom{960)99999}840\\\end{array}$$

Since 840 is less than 960, stop the division. The reminder is 840. The topmost line 00091176 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 91176.

$$\text{Quotient: }91176 \text{Reminder: }840$$

Factor

$$\frac{5 \cdot 113 \cdot 1291}{2 ^ {3}} = 91176\frac{7}{8} = 91176.875$$