Solve 111/100

$$\frac { 111 } { 100 }$$

Evaluate

$$\frac{111}{100}=1.11$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 111

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)111}\\\end{array}$$

Since 1 is less than 100, use the next digit 1 from dividend 111 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)111}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 111

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)111}\\\end{array}$$

Since 11 is less than 100, use the next digit 1 from dividend 111 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)111}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 111

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)111}\\\end{array}$$

Find closest multiple of 100 to 111. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 111 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)111}\\\phantom{100)}\underline{\phantom{}100\phantom{}}\\\phantom{100)9}11\\\end{array}$$

Since 11 is less than 100, stop the division. The reminder is 11. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }11$$

Factor

$$\frac{3 \cdot 37}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{11}{100} = 1.11$$