Solve 1012/12

$$\frac { 1012 } { 12 }$$

Evaluate

$$\frac{253}{3}\approx 84.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1012

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1012}\\\end{array}$$

Since 1 is less than 12, use the next digit 0 from dividend 1012 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1012}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1012

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1012}\\\end{array}$$

Since 10 is less than 12, use the next digit 1 from dividend 1012 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}00\phantom{4}\\12\overline{)1012}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1012

$$\begin{array}{l}\phantom{12)}00\phantom{5}\\12\overline{)1012}\\\end{array}$$

Find closest multiple of 12 to 101. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 101 to get reminder 5. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}008\phantom{6}\\12\overline{)1012}\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}5\\\end{array}$$

Use the 4^{th} digit 2 from dividend 1012

$$\begin{array}{l}\phantom{12)}008\phantom{7}\\12\overline{)1012}\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}52\\\end{array}$$

Find closest multiple of 12 to 52. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 52 to get reminder 4. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}0084\phantom{8}\\12\overline{)1012}\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}52\\\phantom{12)}\underline{\phantom{99}48\phantom{}}\\\phantom{12)999}4\\\end{array}$$

Since 4 is less than 12, stop the division. The reminder is 4. The topmost line 0084 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 84.

$$\text{Quotient: }84 \text{Reminder: }4$$

Factor

$$\frac{11 \cdot 23}{3} = 84\frac{1}{3} = 84.33333333333333$$