Evaluate
\frac{9}{2}=4.5
Factor
\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)450}\\\end{array}
Use the 1^{st} digit 4 from dividend 450
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)450}\\\end{array}
Since 4 is less than 100, use the next digit 5 from dividend 450 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)450}\\\end{array}
Use the 2^{nd} digit 5 from dividend 450
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)450}\\\end{array}
Since 45 is less than 100, use the next digit 0 from dividend 450 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)450}\\\end{array}
Use the 3^{rd} digit 0 from dividend 450
\begin{array}{l}\phantom{100)}004\phantom{6}\\100\overline{)450}\\\phantom{100)}\underline{\phantom{}400\phantom{}}\\\phantom{100)9}50\\\end{array}
Find closest multiple of 100 to 450. We see that 4 \times 100 = 400 is the nearest. Now subtract 400 from 450 to get reminder 50. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }50
Since 50 is less than 100, stop the division. The reminder is 50. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}