Solve 4167/665

$$\frac{ 4167 }{ 665 }$$

Evaluate

$$\frac{4167}{665}\approx 6.266165414$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4167

$$\begin{array}{l}\phantom{665)}\phantom{1}\\665\overline{)4167}\\\end{array}$$

Since 4 is less than 665, use the next digit 1 from dividend 4167 and add 0 to the quotient

$$\begin{array}{l}\phantom{665)}0\phantom{2}\\665\overline{)4167}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 4167

$$\begin{array}{l}\phantom{665)}0\phantom{3}\\665\overline{)4167}\\\end{array}$$

Since 41 is less than 665, use the next digit 6 from dividend 4167 and add 0 to the quotient

$$\begin{array}{l}\phantom{665)}00\phantom{4}\\665\overline{)4167}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 4167

$$\begin{array}{l}\phantom{665)}00\phantom{5}\\665\overline{)4167}\\\end{array}$$

Since 416 is less than 665, use the next digit 7 from dividend 4167 and add 0 to the quotient

$$\begin{array}{l}\phantom{665)}000\phantom{6}\\665\overline{)4167}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 4167

$$\begin{array}{l}\phantom{665)}000\phantom{7}\\665\overline{)4167}\\\end{array}$$

Find closest multiple of 665 to 4167. We see that 6 \times 665 = 3990 is the nearest. Now subtract 3990 from 4167 to get reminder 177. Add 6 to quotient.

$$\begin{array}{l}\phantom{665)}0006\phantom{8}\\665\overline{)4167}\\\phantom{665)}\underline{\phantom{}3990\phantom{}}\\\phantom{665)9}177\\\end{array}$$

Since 177 is less than 665, stop the division. The reminder is 177. The topmost line 0006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }177$$

Factor

$$\frac{3 ^ {2} \cdot 463}{5 \cdot 7 \cdot 19} = 6\frac{177}{665} = 6.266165413533835$$