Solve 11025/10000

$$\frac { 11025 } { 10000 }$$

Evaluate

$$\frac{441}{400}=1.1025$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11025

$$\begin{array}{l}\phantom{10000)}\phantom{1}\\10000\overline{)11025}\\\end{array}$$

Since 1 is less than 10000, use the next digit 1 from dividend 11025 and add 0 to the quotient

$$\begin{array}{l}\phantom{10000)}0\phantom{2}\\10000\overline{)11025}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11025

$$\begin{array}{l}\phantom{10000)}0\phantom{3}\\10000\overline{)11025}\\\end{array}$$

Since 11 is less than 10000, use the next digit 0 from dividend 11025 and add 0 to the quotient

$$\begin{array}{l}\phantom{10000)}00\phantom{4}\\10000\overline{)11025}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 11025

$$\begin{array}{l}\phantom{10000)}00\phantom{5}\\10000\overline{)11025}\\\end{array}$$

Since 110 is less than 10000, use the next digit 2 from dividend 11025 and add 0 to the quotient

$$\begin{array}{l}\phantom{10000)}000\phantom{6}\\10000\overline{)11025}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 11025

$$\begin{array}{l}\phantom{10000)}000\phantom{7}\\10000\overline{)11025}\\\end{array}$$

Since 1102 is less than 10000, use the next digit 5 from dividend 11025 and add 0 to the quotient

$$\begin{array}{l}\phantom{10000)}0000\phantom{8}\\10000\overline{)11025}\\\end{array}$$

Use the 5^{th} digit 5 from dividend 11025

$$\begin{array}{l}\phantom{10000)}0000\phantom{9}\\10000\overline{)11025}\\\end{array}$$

Find closest multiple of 10000 to 11025. We see that 1 \times 10000 = 10000 is the nearest. Now subtract 10000 from 11025 to get reminder 1025. Add 1 to quotient.

$$\begin{array}{l}\phantom{10000)}00001\phantom{10}\\10000\overline{)11025}\\\phantom{10000)}\underline{\phantom{}10000\phantom{}}\\\phantom{10000)9}1025\\\end{array}$$

Since 1025 is less than 10000, stop the division. The reminder is 1025. The topmost line 00001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }1025$$

Factor

$$\frac{3 ^ {2} \cdot 7 ^ {2}}{2 ^ {4} \cdot 5 ^ {2}} = 1\frac{41}{400} = 1.1025$$