Solve 7500/12

$$\frac { 7500 } { 12 }$$

Evaluate

$$625$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)7500}\\\end{array}$$

Since 7 is less than 12, use the next digit 5 from dividend 7500 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)7500}\\\end{array}$$

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

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)7500}\\\end{array}$$

Find closest multiple of 12 to 75. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 75 to get reminder 3. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}06\phantom{4}\\12\overline{)7500}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}3\\\end{array}$$

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

$$\begin{array}{l}\phantom{12)}06\phantom{5}\\12\overline{)7500}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}30\\\end{array}$$

Find closest multiple of 12 to 30. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 30 to get reminder 6. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}062\phantom{6}\\12\overline{)7500}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}30\\\phantom{12)}\underline{\phantom{9}24\phantom{9}}\\\phantom{12)99}6\\\end{array}$$

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

$$\begin{array}{l}\phantom{12)}062\phantom{7}\\12\overline{)7500}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}30\\\phantom{12)}\underline{\phantom{9}24\phantom{9}}\\\phantom{12)99}60\\\end{array}$$

Find closest multiple of 12 to 60. We see that 5 \times 12 = 60 is the nearest. Now subtract 60 from 60 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{12)}0625\phantom{8}\\12\overline{)7500}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}30\\\phantom{12)}\underline{\phantom{9}24\phantom{9}}\\\phantom{12)99}60\\\phantom{12)}\underline{\phantom{99}60\phantom{}}\\\phantom{12)9999}0\\\end{array}$$

Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 0625 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 625.

$$\text{Quotient: }625 \text{Reminder: }0$$

Factor

$$5^{4}$$