Solve 70/11

$$\frac { 70 } { 11 }$$

Evaluate

$$\frac{70}{11}\approx 6.363636364$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 70

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)70}\\\end{array}$$

Since 7 is less than 11, use the next digit 0 from dividend 70 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)70}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 70

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)70}\\\end{array}$$

Find closest multiple of 11 to 70. We see that 6 \times 11 = 66 is the nearest. Now subtract 66 from 70 to get reminder 4. Add 6 to quotient.

$$\begin{array}{l}\phantom{11)}06\phantom{4}\\11\overline{)70}\\\phantom{11)}\underline{\phantom{}66\phantom{}}\\\phantom{11)9}4\\\end{array}$$

Since 4 is less than 11, stop the division. The reminder is 4. The topmost line 06 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }4$$

Factor

$$\frac{2 \cdot 5 \cdot 7}{11} = 6\frac{4}{11} = 6.363636363636363$$