Solve 11123/9900

$$\frac { 11123 } { 9900 }$$

Evaluate

$$\frac{11123}{9900}\approx 1.123535354$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11123

$$\begin{array}{l}\phantom{9900)}\phantom{1}\\9900\overline{)11123}\\\end{array}$$

Since 1 is less than 9900, use the next digit 1 from dividend 11123 and add 0 to the quotient

$$\begin{array}{l}\phantom{9900)}0\phantom{2}\\9900\overline{)11123}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11123

$$\begin{array}{l}\phantom{9900)}0\phantom{3}\\9900\overline{)11123}\\\end{array}$$

Since 11 is less than 9900, use the next digit 1 from dividend 11123 and add 0 to the quotient

$$\begin{array}{l}\phantom{9900)}00\phantom{4}\\9900\overline{)11123}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 11123

$$\begin{array}{l}\phantom{9900)}00\phantom{5}\\9900\overline{)11123}\\\end{array}$$

Since 111 is less than 9900, use the next digit 2 from dividend 11123 and add 0 to the quotient

$$\begin{array}{l}\phantom{9900)}000\phantom{6}\\9900\overline{)11123}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 11123

$$\begin{array}{l}\phantom{9900)}000\phantom{7}\\9900\overline{)11123}\\\end{array}$$

Since 1112 is less than 9900, use the next digit 3 from dividend 11123 and add 0 to the quotient

$$\begin{array}{l}\phantom{9900)}0000\phantom{8}\\9900\overline{)11123}\\\end{array}$$

Use the 5^{th} digit 3 from dividend 11123

$$\begin{array}{l}\phantom{9900)}0000\phantom{9}\\9900\overline{)11123}\\\end{array}$$

Find closest multiple of 9900 to 11123. We see that 1 \times 9900 = 9900 is the nearest. Now subtract 9900 from 11123 to get reminder 1223. Add 1 to quotient.

$$\begin{array}{l}\phantom{9900)}00001\phantom{10}\\9900\overline{)11123}\\\phantom{9900)}\underline{\phantom{9}9900\phantom{}}\\\phantom{9900)9}1223\\\end{array}$$

Since 1223 is less than 9900, stop the division. The reminder is 1223. The topmost line 00001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }1223$$

Factor

$$\frac{7 ^ {2} \cdot 227}{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2} \cdot 11} = 1\frac{1223}{9900} = 1.1235353535353536$$