Evaluate
\frac{3}{2}=1.5
Factor
\frac{3}{2} = 1\frac{1}{2} = 1.5
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\begin{array}{l}\phantom{62)}\phantom{1}\\62\overline{)93}\\\end{array}
Use the 1^{st} digit 9 from dividend 93
\begin{array}{l}\phantom{62)}0\phantom{2}\\62\overline{)93}\\\end{array}
Since 9 is less than 62, use the next digit 3 from dividend 93 and add 0 to the quotient
\begin{array}{l}\phantom{62)}0\phantom{3}\\62\overline{)93}\\\end{array}
Use the 2^{nd} digit 3 from dividend 93
\begin{array}{l}\phantom{62)}01\phantom{4}\\62\overline{)93}\\\phantom{62)}\underline{\phantom{}62\phantom{}}\\\phantom{62)}31\\\end{array}
Find closest multiple of 62 to 93. We see that 1 \times 62 = 62 is the nearest. Now subtract 62 from 93 to get reminder 31. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }31
Since 31 is less than 62, stop the division. The reminder is 31. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}