Solve 7500%

$$7500 \%$$

Evaluate

$$75$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7500

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)7500}\\\end{array}$$

Since 7 is less than 100, use the next digit 5 from dividend 7500 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)7500}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 7500

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)7500}\\\end{array}$$

Since 75 is less than 100, use the next digit 0 from dividend 7500 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)7500}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 7500

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)7500}\\\end{array}$$

Find closest multiple of 100 to 750. We see that 7 \times 100 = 700 is the nearest. Now subtract 700 from 750 to get reminder 50. Add 7 to quotient.

$$\begin{array}{l}\phantom{100)}007\phantom{6}\\100\overline{)7500}\\\phantom{100)}\underline{\phantom{}700\phantom{9}}\\\phantom{100)9}50\\\end{array}$$

Use the 4^{th} digit 0 from dividend 7500

$$\begin{array}{l}\phantom{100)}007\phantom{7}\\100\overline{)7500}\\\phantom{100)}\underline{\phantom{}700\phantom{9}}\\\phantom{100)9}500\\\end{array}$$

Find closest multiple of 100 to 500. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 500 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{100)}0075\phantom{8}\\100\overline{)7500}\\\phantom{100)}\underline{\phantom{}700\phantom{9}}\\\phantom{100)9}500\\\phantom{100)}\underline{\phantom{9}500\phantom{}}\\\phantom{100)9999}0\\\end{array}$$

Since 0 is less than 100, stop the division. The reminder is 0. The topmost line 0075 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 75.

$$\text{Quotient: }75 \text{Reminder: }0$$

Factor

$$3\times 5^{2}$$