Solve 311/100

$$\frac { 311 } { 100 }$$

Evaluate

$$\frac{311}{100}=3.11$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 311

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)311}\\\end{array}$$

Since 3 is less than 100, use the next digit 1 from dividend 311 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)311}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 311

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)311}\\\end{array}$$

Since 31 is less than 100, use the next digit 1 from dividend 311 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)311}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 311

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)311}\\\end{array}$$

Find closest multiple of 100 to 311. We see that 3 \times 100 = 300 is the nearest. Now subtract 300 from 311 to get reminder 11. Add 3 to quotient.

$$\begin{array}{l}\phantom{100)}003\phantom{6}\\100\overline{)311}\\\phantom{100)}\underline{\phantom{}300\phantom{}}\\\phantom{100)9}11\\\end{array}$$

Since 11 is less than 100, stop the division. The reminder is 11. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }11$$

Factor

$$\frac{311}{2 ^ {2} \cdot 5 ^ {2}} = 3\frac{11}{100} = 3.11$$