Solve 101div99

$$101 \div 99$$

Evaluate

$$\frac{101}{99}\approx 1.02020202$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 101

$$\begin{array}{l}\phantom{99)}\phantom{1}\\99\overline{)101}\\\end{array}$$

Since 1 is less than 99, use the next digit 0 from dividend 101 and add 0 to the quotient

$$\begin{array}{l}\phantom{99)}0\phantom{2}\\99\overline{)101}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 101

$$\begin{array}{l}\phantom{99)}0\phantom{3}\\99\overline{)101}\\\end{array}$$

Since 10 is less than 99, use the next digit 1 from dividend 101 and add 0 to the quotient

$$\begin{array}{l}\phantom{99)}00\phantom{4}\\99\overline{)101}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 101

$$\begin{array}{l}\phantom{99)}00\phantom{5}\\99\overline{)101}\\\end{array}$$

Find closest multiple of 99 to 101. We see that 1 \times 99 = 99 is the nearest. Now subtract 99 from 101 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{99)}001\phantom{6}\\99\overline{)101}\\\phantom{99)}\underline{\phantom{9}99\phantom{}}\\\phantom{99)99}2\\\end{array}$$

Since 2 is less than 99, stop the division. The reminder is 2. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }2$$

Factor

$$\frac{101}{3 ^ {2} \cdot 11} = 1\frac{2}{99} = 1.02020202020202$$