Solve 900div12

$$900 \div 12$$

Evaluate

$$75$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 900

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)900}\\\end{array}$$

Since 9 is less than 12, use the next digit 0 from dividend 900 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)900}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 900

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)900}\\\end{array}$$

Find closest multiple of 12 to 90. We see that 7 \times 12 = 84 is the nearest. Now subtract 84 from 90 to get reminder 6. Add 7 to quotient.

$$\begin{array}{l}\phantom{12)}07\phantom{4}\\12\overline{)900}\\\phantom{12)}\underline{\phantom{}84\phantom{9}}\\\phantom{12)9}6\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 900

$$\begin{array}{l}\phantom{12)}07\phantom{5}\\12\overline{)900}\\\phantom{12)}\underline{\phantom{}84\phantom{9}}\\\phantom{12)9}60\\\end{array}$$

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.

$$\begin{array}{l}\phantom{12)}075\phantom{6}\\12\overline{)900}\\\phantom{12)}\underline{\phantom{}84\phantom{9}}\\\phantom{12)9}60\\\phantom{12)}\underline{\phantom{9}60\phantom{}}\\\phantom{12)999}0\\\end{array}$$

Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 075 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

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