Solve 64000div25000

$$64000 \div 25000$$

Evaluate

$$\frac{64}{25}=2.56$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 64000

$$\begin{array}{l}\phantom{25000)}\phantom{1}\\25000\overline{)64000}\\\end{array}$$

Since 6 is less than 25000, use the next digit 4 from dividend 64000 and add 0 to the quotient

$$\begin{array}{l}\phantom{25000)}0\phantom{2}\\25000\overline{)64000}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 64000

$$\begin{array}{l}\phantom{25000)}0\phantom{3}\\25000\overline{)64000}\\\end{array}$$

Since 64 is less than 25000, use the next digit 0 from dividend 64000 and add 0 to the quotient

$$\begin{array}{l}\phantom{25000)}00\phantom{4}\\25000\overline{)64000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 64000

$$\begin{array}{l}\phantom{25000)}00\phantom{5}\\25000\overline{)64000}\\\end{array}$$

Since 640 is less than 25000, use the next digit 0 from dividend 64000 and add 0 to the quotient

$$\begin{array}{l}\phantom{25000)}000\phantom{6}\\25000\overline{)64000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 64000

$$\begin{array}{l}\phantom{25000)}000\phantom{7}\\25000\overline{)64000}\\\end{array}$$

Since 6400 is less than 25000, use the next digit 0 from dividend 64000 and add 0 to the quotient

$$\begin{array}{l}\phantom{25000)}0000\phantom{8}\\25000\overline{)64000}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 64000

$$\begin{array}{l}\phantom{25000)}0000\phantom{9}\\25000\overline{)64000}\\\end{array}$$

Find closest multiple of 25000 to 64000. We see that 2 \times 25000 = 50000 is the nearest. Now subtract 50000 from 64000 to get reminder 14000. Add 2 to quotient.

$$\begin{array}{l}\phantom{25000)}00002\phantom{10}\\25000\overline{)64000}\\\phantom{25000)}\underline{\phantom{}50000\phantom{}}\\\phantom{25000)}14000\\\end{array}$$

Since 14000 is less than 25000, stop the division. The reminder is 14000. The topmost line 00002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }14000$$

Factor

$$\frac{2 ^ {6}}{5 ^ {2}} = 2\frac{14}{25} = 2.56$$