Evaluate
\frac{3}{2}=1.5
Factor
\frac{3}{2} = 1\frac{1}{2} = 1.5
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\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)69}\\\end{array}
Use the 1^{st} digit 6 from dividend 69
\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)69}\\\end{array}
Since 6 is less than 46, use the next digit 9 from dividend 69 and add 0 to the quotient
\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)69}\\\end{array}
Use the 2^{nd} digit 9 from dividend 69
\begin{array}{l}\phantom{46)}01\phantom{4}\\46\overline{)69}\\\phantom{46)}\underline{\phantom{}46\phantom{}}\\\phantom{46)}23\\\end{array}
Find closest multiple of 46 to 69. We see that 1 \times 46 = 46 is the nearest. Now subtract 46 from 69 to get reminder 23. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }23
Since 23 is less than 46, stop the division. The reminder is 23. 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}