Solve 213%

$$213 \%$$

Evaluate

$$\frac{213}{100}=2.13$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 213

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)213}\\\end{array}$$

Since 2 is less than 100, use the next digit 1 from dividend 213 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)213}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 213

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)213}\\\end{array}$$

Since 21 is less than 100, use the next digit 3 from dividend 213 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)213}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 213

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)213}\\\end{array}$$

Find closest multiple of 100 to 213. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 213 to get reminder 13. Add 2 to quotient.

$$\begin{array}{l}\phantom{100)}002\phantom{6}\\100\overline{)213}\\\phantom{100)}\underline{\phantom{}200\phantom{}}\\\phantom{100)9}13\\\end{array}$$

Since 13 is less than 100, stop the division. The reminder is 13. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }13$$

Factor

$$\frac{3 \cdot 71}{2 ^ {2} \cdot 5 ^ {2}} = 2\frac{13}{100} = 2.13$$