Solve 76/11

$$\frac { 76 } { 11 }$$

Evaluate

$$\frac{76}{11}\approx 6.909090909$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 76

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)76}\\\end{array}$$

Since 7 is less than 11, use the next digit 6 from dividend 76 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)76}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 76

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)76}\\\end{array}$$

Find closest multiple of 11 to 76. We see that 6 \times 11 = 66 is the nearest. Now subtract 66 from 76 to get reminder 10. Add 6 to quotient.

$$\begin{array}{l}\phantom{11)}06\phantom{4}\\11\overline{)76}\\\phantom{11)}\underline{\phantom{}66\phantom{}}\\\phantom{11)}10\\\end{array}$$

Since 10 is less than 11, stop the division. The reminder is 10. The topmost line 06 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }10$$

Factor

$$\frac{2 ^ {2} \cdot 19}{11} = 6\frac{10}{11} = 6.909090909090909$$