Solve 121/100

$$\frac { 121 } { 100 }$$

Evaluate

$$\frac{121}{100}=1.21$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 121

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)121}\\\end{array}$$

Since 1 is less than 100, use the next digit 2 from dividend 121 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)121}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 121

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)121}\\\end{array}$$

Since 12 is less than 100, use the next digit 1 from dividend 121 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)121}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 121

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)121}\\\end{array}$$

Find closest multiple of 100 to 121. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 121 to get reminder 21. Add 1 to quotient.

$$\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)121}\\\phantom{100)}\underline{\phantom{}100\phantom{}}\\\phantom{100)9}21\\\end{array}$$

Since 21 is less than 100, stop the division. The reminder is 21. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }21$$

Factor

$$\frac{11 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{21}{100} = 1.21$$