Solve 1125/1000

$$\frac{ 1125 }{ 1000 }$$

Evaluate

$$\frac{9}{8}=1.125$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1125

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)1125}\\\end{array}$$

Since 1 is less than 1000, use the next digit 1 from dividend 1125 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)1125}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1125

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)1125}\\\end{array}$$

Since 11 is less than 1000, use the next digit 2 from dividend 1125 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)1125}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1125

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)1125}\\\end{array}$$

Since 112 is less than 1000, use the next digit 5 from dividend 1125 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)1125}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1125

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)1125}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{1000)}0001\phantom{8}\\1000\overline{)1125}\\\phantom{1000)}\underline{\phantom{}1000\phantom{}}\\\phantom{1000)9}125\\\end{array}$$

Since 125 is less than 1000, stop the division. The reminder is 125. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }125$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$$