Solve 116672/14072

$$\frac { 116672 } { 14072 }$$

Evaluate

$$\frac{14584}{1759}\approx 8.291074474$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 116672

$$\begin{array}{l}\phantom{14072)}\phantom{1}\\14072\overline{)116672}\\\end{array}$$

Since 1 is less than 14072, use the next digit 1 from dividend 116672 and add 0 to the quotient

$$\begin{array}{l}\phantom{14072)}0\phantom{2}\\14072\overline{)116672}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 116672

$$\begin{array}{l}\phantom{14072)}0\phantom{3}\\14072\overline{)116672}\\\end{array}$$

Since 11 is less than 14072, use the next digit 6 from dividend 116672 and add 0 to the quotient

$$\begin{array}{l}\phantom{14072)}00\phantom{4}\\14072\overline{)116672}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 116672

$$\begin{array}{l}\phantom{14072)}00\phantom{5}\\14072\overline{)116672}\\\end{array}$$

Since 116 is less than 14072, use the next digit 6 from dividend 116672 and add 0 to the quotient

$$\begin{array}{l}\phantom{14072)}000\phantom{6}\\14072\overline{)116672}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 116672

$$\begin{array}{l}\phantom{14072)}000\phantom{7}\\14072\overline{)116672}\\\end{array}$$

Since 1166 is less than 14072, use the next digit 7 from dividend 116672 and add 0 to the quotient

$$\begin{array}{l}\phantom{14072)}0000\phantom{8}\\14072\overline{)116672}\\\end{array}$$

Use the 5^{th} digit 7 from dividend 116672

$$\begin{array}{l}\phantom{14072)}0000\phantom{9}\\14072\overline{)116672}\\\end{array}$$

Since 11667 is less than 14072, use the next digit 2 from dividend 116672 and add 0 to the quotient

$$\begin{array}{l}\phantom{14072)}00000\phantom{10}\\14072\overline{)116672}\\\end{array}$$

Use the 6^{th} digit 2 from dividend 116672

$$\begin{array}{l}\phantom{14072)}00000\phantom{11}\\14072\overline{)116672}\\\end{array}$$

Find closest multiple of 14072 to 116672. We see that 8 \times 14072 = 112576 is the nearest. Now subtract 112576 from 116672 to get reminder 4096. Add 8 to quotient.

$$\begin{array}{l}\phantom{14072)}000008\phantom{12}\\14072\overline{)116672}\\\phantom{14072)}\underline{\phantom{}112576\phantom{}}\\\phantom{14072)99}4096\\\end{array}$$

Since 4096 is less than 14072, stop the division. The reminder is 4096. The topmost line 000008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.

$$\text{Quotient: }8 \text{Reminder: }4096$$

Factor

$$\frac{2 ^ {3} \cdot 1823}{1759} = 8\frac{512}{1759} = 8.29107447413303$$