Solve 108750/5000

$$\frac { 108750 } { 5000 }$$

Evaluate

$$\frac{87}{4}=21.75$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 108750

$$\begin{array}{l}\phantom{5000)}\phantom{1}\\5000\overline{)108750}\\\end{array}$$

Since 1 is less than 5000, use the next digit 0 from dividend 108750 and add 0 to the quotient

$$\begin{array}{l}\phantom{5000)}0\phantom{2}\\5000\overline{)108750}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 108750

$$\begin{array}{l}\phantom{5000)}0\phantom{3}\\5000\overline{)108750}\\\end{array}$$

Since 10 is less than 5000, use the next digit 8 from dividend 108750 and add 0 to the quotient

$$\begin{array}{l}\phantom{5000)}00\phantom{4}\\5000\overline{)108750}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 108750

$$\begin{array}{l}\phantom{5000)}00\phantom{5}\\5000\overline{)108750}\\\end{array}$$

Since 108 is less than 5000, use the next digit 7 from dividend 108750 and add 0 to the quotient

$$\begin{array}{l}\phantom{5000)}000\phantom{6}\\5000\overline{)108750}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 108750

$$\begin{array}{l}\phantom{5000)}000\phantom{7}\\5000\overline{)108750}\\\end{array}$$

Since 1087 is less than 5000, use the next digit 5 from dividend 108750 and add 0 to the quotient

$$\begin{array}{l}\phantom{5000)}0000\phantom{8}\\5000\overline{)108750}\\\end{array}$$

Use the 5^{th} digit 5 from dividend 108750

$$\begin{array}{l}\phantom{5000)}0000\phantom{9}\\5000\overline{)108750}\\\end{array}$$

Find closest multiple of 5000 to 10875. We see that 2 \times 5000 = 10000 is the nearest. Now subtract 10000 from 10875 to get reminder 875. Add 2 to quotient.

$$\begin{array}{l}\phantom{5000)}00002\phantom{10}\\5000\overline{)108750}\\\phantom{5000)}\underline{\phantom{}10000\phantom{9}}\\\phantom{5000)99}875\\\end{array}$$

Use the 6^{th} digit 0 from dividend 108750

$$\begin{array}{l}\phantom{5000)}00002\phantom{11}\\5000\overline{)108750}\\\phantom{5000)}\underline{\phantom{}10000\phantom{9}}\\\phantom{5000)99}8750\\\end{array}$$

Find closest multiple of 5000 to 8750. We see that 1 \times 5000 = 5000 is the nearest. Now subtract 5000 from 8750 to get reminder 3750. Add 1 to quotient.

$$\begin{array}{l}\phantom{5000)}000021\phantom{12}\\5000\overline{)108750}\\\phantom{5000)}\underline{\phantom{}10000\phantom{9}}\\\phantom{5000)99}8750\\\phantom{5000)}\underline{\phantom{99}5000\phantom{}}\\\phantom{5000)99}3750\\\end{array}$$

Since 3750 is less than 5000, stop the division. The reminder is 3750. The topmost line 000021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.

$$\text{Quotient: }21 \text{Reminder: }3750$$

Factor

$$\frac{3 \cdot 29}{2 ^ {2}} = 21\frac{3}{4} = 21.75$$