Solve 11530div1000

$$11530 \div 1000$$

Evaluate

$$\frac{1153}{100}=11.53$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11530

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)11530}\\\end{array}$$

Since 1 is less than 1000, use the next digit 1 from dividend 11530 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)11530}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11530

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)11530}\\\end{array}$$

Since 11 is less than 1000, use the next digit 5 from dividend 11530 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)11530}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 11530

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)11530}\\\end{array}$$

Since 115 is less than 1000, use the next digit 3 from dividend 11530 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)11530}\\\end{array}$$

Use the 4^{th} digit 3 from dividend 11530

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)11530}\\\end{array}$$

Find closest multiple of 1000 to 1153. We see that 1 \times 1000 = 1000 is the nearest. Now subtract 1000 from 1153 to get reminder 153. Add 1 to quotient.

$$\begin{array}{l}\phantom{1000)}0001\phantom{8}\\1000\overline{)11530}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}153\\\end{array}$$

Use the 5^{th} digit 0 from dividend 11530

$$\begin{array}{l}\phantom{1000)}0001\phantom{9}\\1000\overline{)11530}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}1530\\\end{array}$$

Find closest multiple of 1000 to 1530. We see that 1 \times 1000 = 1000 is the nearest. Now subtract 1000 from 1530 to get reminder 530. Add 1 to quotient.

$$\begin{array}{l}\phantom{1000)}00011\phantom{10}\\1000\overline{)11530}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}1530\\\phantom{1000)}\underline{\phantom{9}1000\phantom{}}\\\phantom{1000)99}530\\\end{array}$$

Since 530 is less than 1000, stop the division. The reminder is 530. The topmost line 00011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }530$$

Factor

$$\frac{1153}{2 ^ {2} \cdot 5 ^ {2}} = 11\frac{53}{100} = 11.53$$