Solve 310752div96

$$310752 \div 96$$

Evaluate

$$3237$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 310752

$$\begin{array}{l}\phantom{96)}\phantom{1}\\96\overline{)310752}\\\end{array}$$

Since 3 is less than 96, use the next digit 1 from dividend 310752 and add 0 to the quotient

$$\begin{array}{l}\phantom{96)}0\phantom{2}\\96\overline{)310752}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 310752

$$\begin{array}{l}\phantom{96)}0\phantom{3}\\96\overline{)310752}\\\end{array}$$

Since 31 is less than 96, use the next digit 0 from dividend 310752 and add 0 to the quotient

$$\begin{array}{l}\phantom{96)}00\phantom{4}\\96\overline{)310752}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 310752

$$\begin{array}{l}\phantom{96)}00\phantom{5}\\96\overline{)310752}\\\end{array}$$

Find closest multiple of 96 to 310. We see that 3 \times 96 = 288 is the nearest. Now subtract 288 from 310 to get reminder 22. Add 3 to quotient.

$$\begin{array}{l}\phantom{96)}003\phantom{6}\\96\overline{)310752}\\\phantom{96)}\underline{\phantom{}288\phantom{999}}\\\phantom{96)9}22\\\end{array}$$

Use the 4^{th} digit 7 from dividend 310752

$$\begin{array}{l}\phantom{96)}003\phantom{7}\\96\overline{)310752}\\\phantom{96)}\underline{\phantom{}288\phantom{999}}\\\phantom{96)9}227\\\end{array}$$

Find closest multiple of 96 to 227. We see that 2 \times 96 = 192 is the nearest. Now subtract 192 from 227 to get reminder 35. Add 2 to quotient.

$$\begin{array}{l}\phantom{96)}0032\phantom{8}\\96\overline{)310752}\\\phantom{96)}\underline{\phantom{}288\phantom{999}}\\\phantom{96)9}227\\\phantom{96)}\underline{\phantom{9}192\phantom{99}}\\\phantom{96)99}35\\\end{array}$$

Use the 5^{th} digit 5 from dividend 310752

$$\begin{array}{l}\phantom{96)}0032\phantom{9}\\96\overline{)310752}\\\phantom{96)}\underline{\phantom{}288\phantom{999}}\\\phantom{96)9}227\\\phantom{96)}\underline{\phantom{9}192\phantom{99}}\\\phantom{96)99}355\\\end{array}$$

Find closest multiple of 96 to 355. We see that 3 \times 96 = 288 is the nearest. Now subtract 288 from 355 to get reminder 67. Add 3 to quotient.

$$\begin{array}{l}\phantom{96)}00323\phantom{10}\\96\overline{)310752}\\\phantom{96)}\underline{\phantom{}288\phantom{999}}\\\phantom{96)9}227\\\phantom{96)}\underline{\phantom{9}192\phantom{99}}\\\phantom{96)99}355\\\phantom{96)}\underline{\phantom{99}288\phantom{9}}\\\phantom{96)999}67\\\end{array}$$

Use the 6^{th} digit 2 from dividend 310752

$$\begin{array}{l}\phantom{96)}00323\phantom{11}\\96\overline{)310752}\\\phantom{96)}\underline{\phantom{}288\phantom{999}}\\\phantom{96)9}227\\\phantom{96)}\underline{\phantom{9}192\phantom{99}}\\\phantom{96)99}355\\\phantom{96)}\underline{\phantom{99}288\phantom{9}}\\\phantom{96)999}672\\\end{array}$$

Find closest multiple of 96 to 672. We see that 7 \times 96 = 672 is the nearest. Now subtract 672 from 672 to get reminder 0. Add 7 to quotient.

$$\begin{array}{l}\phantom{96)}003237\phantom{12}\\96\overline{)310752}\\\phantom{96)}\underline{\phantom{}288\phantom{999}}\\\phantom{96)9}227\\\phantom{96)}\underline{\phantom{9}192\phantom{99}}\\\phantom{96)99}355\\\phantom{96)}\underline{\phantom{99}288\phantom{9}}\\\phantom{96)999}672\\\phantom{96)}\underline{\phantom{999}672\phantom{}}\\\phantom{96)999999}0\\\end{array}$$

Since 0 is less than 96, stop the division. The reminder is 0. The topmost line 003237 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3237.

$$\text{Quotient: }3237 \text{Reminder: }0$$

Factor

$$3\times 13\times 83$$