Solve 11500/24

$$\frac{ 11500 }{ 24 }$$

Evaluate

$$\frac{2875}{6}\approx 479.166666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11500

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)11500}\\\end{array}$$

Since 1 is less than 24, use the next digit 1 from dividend 11500 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)11500}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11500

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)11500}\\\end{array}$$

Since 11 is less than 24, use the next digit 5 from dividend 11500 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)11500}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 11500

$$\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)11500}\\\end{array}$$

Find closest multiple of 24 to 115. We see that 4 \times 24 = 96 is the nearest. Now subtract 96 from 115 to get reminder 19. Add 4 to quotient.

$$\begin{array}{l}\phantom{24)}004\phantom{6}\\24\overline{)11500}\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}19\\\end{array}$$

Use the 4^{th} digit 0 from dividend 11500

$$\begin{array}{l}\phantom{24)}004\phantom{7}\\24\overline{)11500}\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}190\\\end{array}$$

Find closest multiple of 24 to 190. We see that 7 \times 24 = 168 is the nearest. Now subtract 168 from 190 to get reminder 22. Add 7 to quotient.

$$\begin{array}{l}\phantom{24)}0047\phantom{8}\\24\overline{)11500}\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}190\\\phantom{24)}\underline{\phantom{9}168\phantom{9}}\\\phantom{24)99}22\\\end{array}$$

Use the 5^{th} digit 0 from dividend 11500

$$\begin{array}{l}\phantom{24)}0047\phantom{9}\\24\overline{)11500}\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}190\\\phantom{24)}\underline{\phantom{9}168\phantom{9}}\\\phantom{24)99}220\\\end{array}$$

Find closest multiple of 24 to 220. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 220 to get reminder 4. Add 9 to quotient.

$$\begin{array}{l}\phantom{24)}00479\phantom{10}\\24\overline{)11500}\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}190\\\phantom{24)}\underline{\phantom{9}168\phantom{9}}\\\phantom{24)99}220\\\phantom{24)}\underline{\phantom{99}216\phantom{}}\\\phantom{24)9999}4\\\end{array}$$

Since 4 is less than 24, stop the division. The reminder is 4. The topmost line 00479 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 479.

$$\text{Quotient: }479 \text{Reminder: }4$$

Factor

$$\frac{5 ^ {3} \cdot 23}{2 \cdot 3} = 479\frac{1}{6} = 479.1666666666667$$