Solve 56/11

$$\frac { 56 } { 11 }$$

Evaluate

$$\frac{56}{11}\approx 5.090909091$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 56

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)56}\\\end{array}$$

Since 5 is less than 11, use the next digit 6 from dividend 56 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)56}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 56

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)56}\\\end{array}$$

Find closest multiple of 11 to 56. We see that 5 \times 11 = 55 is the nearest. Now subtract 55 from 56 to get reminder 1. Add 5 to quotient.

$$\begin{array}{l}\phantom{11)}05\phantom{4}\\11\overline{)56}\\\phantom{11)}\underline{\phantom{}55\phantom{}}\\\phantom{11)9}1\\\end{array}$$

Since 1 is less than 11, stop the division. The reminder is 1. The topmost line 05 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }1$$

Factor

$$\frac{2 ^ {3} \cdot 7}{11} = 5\frac{1}{11} = 5.090909090909091$$