Solve 789/11

$$\frac { 789 } { 11 }$$

Evaluate

$$\frac{789}{11}\approx 71.727272727$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 789

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)789}\\\end{array}$$

Since 7 is less than 11, use the next digit 8 from dividend 789 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)789}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 789

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)789}\\\end{array}$$

Find closest multiple of 11 to 78. We see that 7 \times 11 = 77 is the nearest. Now subtract 77 from 78 to get reminder 1. Add 7 to quotient.

$$\begin{array}{l}\phantom{11)}07\phantom{4}\\11\overline{)789}\\\phantom{11)}\underline{\phantom{}77\phantom{9}}\\\phantom{11)9}1\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 789

$$\begin{array}{l}\phantom{11)}07\phantom{5}\\11\overline{)789}\\\phantom{11)}\underline{\phantom{}77\phantom{9}}\\\phantom{11)9}19\\\end{array}$$

Find closest multiple of 11 to 19. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 19 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}071\phantom{6}\\11\overline{)789}\\\phantom{11)}\underline{\phantom{}77\phantom{9}}\\\phantom{11)9}19\\\phantom{11)}\underline{\phantom{9}11\phantom{}}\\\phantom{11)99}8\\\end{array}$$

Since 8 is less than 11, stop the division. The reminder is 8. The topmost line 071 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 71.

$$\text{Quotient: }71 \text{Reminder: }8$$

Factor

$$\frac{3 \cdot 263}{11} = 71\frac{8}{11} = 71.72727272727273$$