Evaluate
\frac{65}{8}=8.125
Factor
\frac{5 \cdot 13}{2 ^ {3}} = 8\frac{1}{8} = 8.125
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\begin{array}{l}\phantom{80)}\phantom{1}\\80\overline{)650}\\\end{array}
Use the 1^{st} digit 6 from dividend 650
\begin{array}{l}\phantom{80)}0\phantom{2}\\80\overline{)650}\\\end{array}
Since 6 is less than 80, use the next digit 5 from dividend 650 and add 0 to the quotient
\begin{array}{l}\phantom{80)}0\phantom{3}\\80\overline{)650}\\\end{array}
Use the 2^{nd} digit 5 from dividend 650
\begin{array}{l}\phantom{80)}00\phantom{4}\\80\overline{)650}\\\end{array}
Since 65 is less than 80, use the next digit 0 from dividend 650 and add 0 to the quotient
\begin{array}{l}\phantom{80)}00\phantom{5}\\80\overline{)650}\\\end{array}
Use the 3^{rd} digit 0 from dividend 650
\begin{array}{l}\phantom{80)}008\phantom{6}\\80\overline{)650}\\\phantom{80)}\underline{\phantom{}640\phantom{}}\\\phantom{80)9}10\\\end{array}
Find closest multiple of 80 to 650. We see that 8 \times 80 = 640 is the nearest. Now subtract 640 from 650 to get reminder 10. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }10
Since 10 is less than 80, stop the division. The reminder is 10. 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}