Solve 2108div400

$$2108 \div 400$$

Evaluate

$$\frac{527}{100}=5.27$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2108

$$\begin{array}{l}\phantom{400)}\phantom{1}\\400\overline{)2108}\\\end{array}$$

Since 2 is less than 400, use the next digit 1 from dividend 2108 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}0\phantom{2}\\400\overline{)2108}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 2108

$$\begin{array}{l}\phantom{400)}0\phantom{3}\\400\overline{)2108}\\\end{array}$$

Since 21 is less than 400, use the next digit 0 from dividend 2108 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}00\phantom{4}\\400\overline{)2108}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2108

$$\begin{array}{l}\phantom{400)}00\phantom{5}\\400\overline{)2108}\\\end{array}$$

Since 210 is less than 400, use the next digit 8 from dividend 2108 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}000\phantom{6}\\400\overline{)2108}\\\end{array}$$

Use the 4^{th} digit 8 from dividend 2108

$$\begin{array}{l}\phantom{400)}000\phantom{7}\\400\overline{)2108}\\\end{array}$$

Find closest multiple of 400 to 2108. We see that 5 \times 400 = 2000 is the nearest. Now subtract 2000 from 2108 to get reminder 108. Add 5 to quotient.

$$\begin{array}{l}\phantom{400)}0005\phantom{8}\\400\overline{)2108}\\\phantom{400)}\underline{\phantom{}2000\phantom{}}\\\phantom{400)9}108\\\end{array}$$

Since 108 is less than 400, stop the division. The reminder is 108. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }108$$

Factor

$$\frac{17 \cdot 31}{2 ^ {2} \cdot 5 ^ {2}} = 5\frac{27}{100} = 5.27$$