Solve 1179/777

$$\frac { 1179 } { 777 }$$

Evaluate

$$\frac{393}{259}\approx 1.517374517$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1179

$$\begin{array}{l}\phantom{777)}\phantom{1}\\777\overline{)1179}\\\end{array}$$

Since 1 is less than 777, use the next digit 1 from dividend 1179 and add 0 to the quotient

$$\begin{array}{l}\phantom{777)}0\phantom{2}\\777\overline{)1179}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1179

$$\begin{array}{l}\phantom{777)}0\phantom{3}\\777\overline{)1179}\\\end{array}$$

Since 11 is less than 777, use the next digit 7 from dividend 1179 and add 0 to the quotient

$$\begin{array}{l}\phantom{777)}00\phantom{4}\\777\overline{)1179}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 1179

$$\begin{array}{l}\phantom{777)}00\phantom{5}\\777\overline{)1179}\\\end{array}$$

Since 117 is less than 777, use the next digit 9 from dividend 1179 and add 0 to the quotient

$$\begin{array}{l}\phantom{777)}000\phantom{6}\\777\overline{)1179}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1179

$$\begin{array}{l}\phantom{777)}000\phantom{7}\\777\overline{)1179}\\\end{array}$$

Find closest multiple of 777 to 1179. We see that 1 \times 777 = 777 is the nearest. Now subtract 777 from 1179 to get reminder 402. Add 1 to quotient.

$$\begin{array}{l}\phantom{777)}0001\phantom{8}\\777\overline{)1179}\\\phantom{777)}\underline{\phantom{9}777\phantom{}}\\\phantom{777)9}402\\\end{array}$$

Since 402 is less than 777, stop the division. The reminder is 402. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }402$$

Factor

$$\frac{3 \cdot 131}{7 \cdot 37} = 1\frac{134}{259} = 1.5173745173745175$$