Solve 78922/9144

$$\frac{ 78922 }{ 9144 }$$

Evaluate

$$\frac{39461}{4572}\approx 8.631014873$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 78922

$$\begin{array}{l}\phantom{9144)}\phantom{1}\\9144\overline{)78922}\\\end{array}$$

Since 7 is less than 9144, use the next digit 8 from dividend 78922 and add 0 to the quotient

$$\begin{array}{l}\phantom{9144)}0\phantom{2}\\9144\overline{)78922}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 78922

$$\begin{array}{l}\phantom{9144)}0\phantom{3}\\9144\overline{)78922}\\\end{array}$$

Since 78 is less than 9144, use the next digit 9 from dividend 78922 and add 0 to the quotient

$$\begin{array}{l}\phantom{9144)}00\phantom{4}\\9144\overline{)78922}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 78922

$$\begin{array}{l}\phantom{9144)}00\phantom{5}\\9144\overline{)78922}\\\end{array}$$

Since 789 is less than 9144, use the next digit 2 from dividend 78922 and add 0 to the quotient

$$\begin{array}{l}\phantom{9144)}000\phantom{6}\\9144\overline{)78922}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 78922

$$\begin{array}{l}\phantom{9144)}000\phantom{7}\\9144\overline{)78922}\\\end{array}$$

Since 7892 is less than 9144, use the next digit 2 from dividend 78922 and add 0 to the quotient

$$\begin{array}{l}\phantom{9144)}0000\phantom{8}\\9144\overline{)78922}\\\end{array}$$

Use the 5^{th} digit 2 from dividend 78922

$$\begin{array}{l}\phantom{9144)}0000\phantom{9}\\9144\overline{)78922}\\\end{array}$$

Find closest multiple of 9144 to 78922. We see that 8 \times 9144 = 73152 is the nearest. Now subtract 73152 from 78922 to get reminder 5770. Add 8 to quotient.

$$\begin{array}{l}\phantom{9144)}00008\phantom{10}\\9144\overline{)78922}\\\phantom{9144)}\underline{\phantom{}73152\phantom{}}\\\phantom{9144)9}5770\\\end{array}$$

Since 5770 is less than 9144, stop the division. The reminder is 5770. The topmost line 00008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.

$$\text{Quotient: }8 \text{Reminder: }5770$$

Factor

$$\frac{39461}{2 ^ {2} \cdot 3 ^ {2} \cdot 127} = 8\frac{2885}{4572} = 8.631014873140858$$