Solve 2500div325

$$2500 \div 325$$

Evaluate

$$\frac{100}{13}\approx 7.692307692$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2500

$$\begin{array}{l}\phantom{325)}\phantom{1}\\325\overline{)2500}\\\end{array}$$

Since 2 is less than 325, use the next digit 5 from dividend 2500 and add 0 to the quotient

$$\begin{array}{l}\phantom{325)}0\phantom{2}\\325\overline{)2500}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 2500

$$\begin{array}{l}\phantom{325)}0\phantom{3}\\325\overline{)2500}\\\end{array}$$

Since 25 is less than 325, use the next digit 0 from dividend 2500 and add 0 to the quotient

$$\begin{array}{l}\phantom{325)}00\phantom{4}\\325\overline{)2500}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2500

$$\begin{array}{l}\phantom{325)}00\phantom{5}\\325\overline{)2500}\\\end{array}$$

Since 250 is less than 325, use the next digit 0 from dividend 2500 and add 0 to the quotient

$$\begin{array}{l}\phantom{325)}000\phantom{6}\\325\overline{)2500}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2500

$$\begin{array}{l}\phantom{325)}000\phantom{7}\\325\overline{)2500}\\\end{array}$$

Find closest multiple of 325 to 2500. We see that 7 \times 325 = 2275 is the nearest. Now subtract 2275 from 2500 to get reminder 225. Add 7 to quotient.

$$\begin{array}{l}\phantom{325)}0007\phantom{8}\\325\overline{)2500}\\\phantom{325)}\underline{\phantom{}2275\phantom{}}\\\phantom{325)9}225\\\end{array}$$

Since 225 is less than 325, stop the division. The reminder is 225. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }225$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{13} = 7\frac{9}{13} = 7.6923076923076925$$