Solve 200/99

$$\frac{ 200 }{ 99 }$$

Evaluate

$$\frac{200}{99}\approx 2.02020202$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 200

$$\begin{array}{l}\phantom{99)}\phantom{1}\\99\overline{)200}\\\end{array}$$

Since 2 is less than 99, use the next digit 0 from dividend 200 and add 0 to the quotient

$$\begin{array}{l}\phantom{99)}0\phantom{2}\\99\overline{)200}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 200

$$\begin{array}{l}\phantom{99)}0\phantom{3}\\99\overline{)200}\\\end{array}$$

Since 20 is less than 99, use the next digit 0 from dividend 200 and add 0 to the quotient

$$\begin{array}{l}\phantom{99)}00\phantom{4}\\99\overline{)200}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 200

$$\begin{array}{l}\phantom{99)}00\phantom{5}\\99\overline{)200}\\\end{array}$$

Find closest multiple of 99 to 200. We see that 2 \times 99 = 198 is the nearest. Now subtract 198 from 200 to get reminder 2. Add 2 to quotient.

$$\begin{array}{l}\phantom{99)}002\phantom{6}\\99\overline{)200}\\\phantom{99)}\underline{\phantom{}198\phantom{}}\\\phantom{99)99}2\\\end{array}$$

Since 2 is less than 99, stop the division. The reminder is 2. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

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

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{3 ^ {2} \cdot 11} = 2\frac{2}{99} = 2.0202020202020203$$