Solve 242%

$$242 \%$$

Evaluate

$$\frac{121}{50}=2.42$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 242

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)242}\\\end{array}$$

Since 2 is less than 100, use the next digit 4 from dividend 242 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)242}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 242

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)242}\\\end{array}$$

Since 24 is less than 100, use the next digit 2 from dividend 242 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)242}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 242

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)242}\\\end{array}$$

Find closest multiple of 100 to 242. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 242 to get reminder 42. Add 2 to quotient.

$$\begin{array}{l}\phantom{100)}002\phantom{6}\\100\overline{)242}\\\phantom{100)}\underline{\phantom{}200\phantom{}}\\\phantom{100)9}42\\\end{array}$$

Since 42 is less than 100, stop the division. The reminder is 42. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }42$$

Factor

$$\frac{11 ^ {2}}{2 \cdot 5 ^ {2}} = 2\frac{21}{50} = 2.42$$