Solve 11250div1000

$$11250 \div 1000$$

Evaluate

$$\frac{45}{4}=11.25$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11250

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)11250}\\\end{array}$$

Since 1 is less than 1000, use the next digit 1 from dividend 11250 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)11250}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11250

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)11250}\\\end{array}$$

Since 11 is less than 1000, use the next digit 2 from dividend 11250 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)11250}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 11250

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)11250}\\\end{array}$$

Since 112 is less than 1000, use the next digit 5 from dividend 11250 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)11250}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 11250

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)11250}\\\end{array}$$

Find closest multiple of 1000 to 1125. We see that 1 \times 1000 = 1000 is the nearest. Now subtract 1000 from 1125 to get reminder 125. Add 1 to quotient.

$$\begin{array}{l}\phantom{1000)}0001\phantom{8}\\1000\overline{)11250}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}125\\\end{array}$$

Use the 5^{th} digit 0 from dividend 11250

$$\begin{array}{l}\phantom{1000)}0001\phantom{9}\\1000\overline{)11250}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}1250\\\end{array}$$

Find closest multiple of 1000 to 1250. We see that 1 \times 1000 = 1000 is the nearest. Now subtract 1000 from 1250 to get reminder 250. Add 1 to quotient.

$$\begin{array}{l}\phantom{1000)}00011\phantom{10}\\1000\overline{)11250}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}1250\\\phantom{1000)}\underline{\phantom{9}1000\phantom{}}\\\phantom{1000)99}250\\\end{array}$$

Since 250 is less than 1000, stop the division. The reminder is 250. The topmost line 00011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }250$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {2}} = 11\frac{1}{4} = 11.25$$