Solve 91/18

$$\frac { 91 } { 18 }$$

Evaluate

$$\frac{91}{18}\approx 5.055555556$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 91

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)91}\\\end{array}$$

Since 9 is less than 18, use the next digit 1 from dividend 91 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)91}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 91

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)91}\\\end{array}$$

Find closest multiple of 18 to 91. We see that 5 \times 18 = 90 is the nearest. Now subtract 90 from 91 to get reminder 1. Add 5 to quotient.

$$\begin{array}{l}\phantom{18)}05\phantom{4}\\18\overline{)91}\\\phantom{18)}\underline{\phantom{}90\phantom{}}\\\phantom{18)9}1\\\end{array}$$

Since 1 is less than 18, 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

$$\frac{7 \cdot 13}{2 \cdot 3 ^ {2}} = 5\frac{1}{18} = 5.055555555555555$$