Solve 1023div12=

$$1023 \div 12 =$$

Evaluate

$$\frac{341}{4}=85.25$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1023

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1023}\\\end{array}$$

Since 1 is less than 12, use the next digit 0 from dividend 1023 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1023}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1023

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1023}\\\end{array}$$

Since 10 is less than 12, use the next digit 2 from dividend 1023 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}00\phantom{4}\\12\overline{)1023}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1023

$$\begin{array}{l}\phantom{12)}00\phantom{5}\\12\overline{)1023}\\\end{array}$$

Find closest multiple of 12 to 102. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 102 to get reminder 6. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}008\phantom{6}\\12\overline{)1023}\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}6\\\end{array}$$

Use the 4^{th} digit 3 from dividend 1023

$$\begin{array}{l}\phantom{12)}008\phantom{7}\\12\overline{)1023}\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}63\\\end{array}$$

Find closest multiple of 12 to 63. We see that 5 \times 12 = 60 is the nearest. Now subtract 60 from 63 to get reminder 3. Add 5 to quotient.

$$\begin{array}{l}\phantom{12)}0085\phantom{8}\\12\overline{)1023}\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}63\\\phantom{12)}\underline{\phantom{99}60\phantom{}}\\\phantom{12)999}3\\\end{array}$$

Since 3 is less than 12, stop the division. The reminder is 3. The topmost line 0085 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 85.

$$\text{Quotient: }85 \text{Reminder: }3$$

Factor

$$\frac{11 \cdot 31}{2 ^ {2}} = 85\frac{1}{4} = 85.25$$