Solve 828div12

$$828 \div 12$$

Evaluate

$$69$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 828

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)828}\\\end{array}$$

Since 8 is less than 12, use the next digit 2 from dividend 828 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)828}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 828

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)828}\\\end{array}$$

Find closest multiple of 12 to 82. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 82 to get reminder 10. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}06\phantom{4}\\12\overline{)828}\\\phantom{12)}\underline{\phantom{}72\phantom{9}}\\\phantom{12)}10\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 828

$$\begin{array}{l}\phantom{12)}06\phantom{5}\\12\overline{)828}\\\phantom{12)}\underline{\phantom{}72\phantom{9}}\\\phantom{12)}108\\\end{array}$$

Find closest multiple of 12 to 108. We see that 9 \times 12 = 108 is the nearest. Now subtract 108 from 108 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{12)}069\phantom{6}\\12\overline{)828}\\\phantom{12)}\underline{\phantom{}72\phantom{9}}\\\phantom{12)}108\\\phantom{12)}\underline{\phantom{}108\phantom{}}\\\phantom{12)999}0\\\end{array}$$

Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 069 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 69.

$$\text{Quotient: }69 \text{Reminder: }0$$

Factor

$$3\times 23$$