Evaluate
\frac{71}{8}=8.875
Factor
\frac{71}{2 ^ {3}} = 8\frac{7}{8} = 8.875
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\begin{array}{l}\phantom{96)}\phantom{1}\\96\overline{)852}\\\end{array}
Use the 1^{st} digit 8 from dividend 852
\begin{array}{l}\phantom{96)}0\phantom{2}\\96\overline{)852}\\\end{array}
Since 8 is less than 96, use the next digit 5 from dividend 852 and add 0 to the quotient
\begin{array}{l}\phantom{96)}0\phantom{3}\\96\overline{)852}\\\end{array}
Use the 2^{nd} digit 5 from dividend 852
\begin{array}{l}\phantom{96)}00\phantom{4}\\96\overline{)852}\\\end{array}
Since 85 is less than 96, use the next digit 2 from dividend 852 and add 0 to the quotient
\begin{array}{l}\phantom{96)}00\phantom{5}\\96\overline{)852}\\\end{array}
Use the 3^{rd} digit 2 from dividend 852
\begin{array}{l}\phantom{96)}008\phantom{6}\\96\overline{)852}\\\phantom{96)}\underline{\phantom{}768\phantom{}}\\\phantom{96)9}84\\\end{array}
Find closest multiple of 96 to 852. We see that 8 \times 96 = 768 is the nearest. Now subtract 768 from 852 to get reminder 84. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }84
Since 84 is less than 96, stop the division. The reminder is 84. The topmost line 008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}