Solve 6500div400

$$6500 \div 400$$

Evaluate

$$\frac{65}{4}=16.25$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6500

$$\begin{array}{l}\phantom{400)}\phantom{1}\\400\overline{)6500}\\\end{array}$$

Since 6 is less than 400, use the next digit 5 from dividend 6500 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}0\phantom{2}\\400\overline{)6500}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 6500

$$\begin{array}{l}\phantom{400)}0\phantom{3}\\400\overline{)6500}\\\end{array}$$

Since 65 is less than 400, use the next digit 0 from dividend 6500 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}00\phantom{4}\\400\overline{)6500}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 6500

$$\begin{array}{l}\phantom{400)}00\phantom{5}\\400\overline{)6500}\\\end{array}$$

Find closest multiple of 400 to 650. We see that 1 \times 400 = 400 is the nearest. Now subtract 400 from 650 to get reminder 250. Add 1 to quotient.

$$\begin{array}{l}\phantom{400)}001\phantom{6}\\400\overline{)6500}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}250\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6500

$$\begin{array}{l}\phantom{400)}001\phantom{7}\\400\overline{)6500}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}2500\\\end{array}$$

Find closest multiple of 400 to 2500. We see that 6 \times 400 = 2400 is the nearest. Now subtract 2400 from 2500 to get reminder 100. Add 6 to quotient.

$$\begin{array}{l}\phantom{400)}0016\phantom{8}\\400\overline{)6500}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}2500\\\phantom{400)}\underline{\phantom{}2400\phantom{}}\\\phantom{400)9}100\\\end{array}$$

Since 100 is less than 400, stop the division. The reminder is 100. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.

$$\text{Quotient: }16 \text{Reminder: }100$$

Factor

$$\frac{5 \cdot 13}{2 ^ {2}} = 16\frac{1}{4} = 16.25$$