Solve =13/11

$$= \frac { 13 } { 11 }$$

Evaluate

$$\frac{13}{11}\approx 1.181818182$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)13}\\\end{array}$$

Since 1 is less than 11, use the next digit 3 from dividend 13 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)13}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)13}\\\end{array}$$

Find closest multiple of 11 to 13. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 13 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}01\phantom{4}\\11\overline{)13}\\\phantom{11)}\underline{\phantom{}11\phantom{}}\\\phantom{11)9}2\\\end{array}$$

Since 2 is less than 11, stop the division. The reminder is 2. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }2$$

Factor

$$\frac{13}{11} = 1\frac{2}{11} = 1.1818181818181819$$