Evaluate
\frac{9}{4}=2.25
Factor
\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25
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\begin{array}{l}\phantom{44)}\phantom{1}\\44\overline{)99}\\\end{array}
Use the 1^{st} digit 9 from dividend 99
\begin{array}{l}\phantom{44)}0\phantom{2}\\44\overline{)99}\\\end{array}
Since 9 is less than 44, use the next digit 9 from dividend 99 and add 0 to the quotient
\begin{array}{l}\phantom{44)}0\phantom{3}\\44\overline{)99}\\\end{array}
Use the 2^{nd} digit 9 from dividend 99
\begin{array}{l}\phantom{44)}02\phantom{4}\\44\overline{)99}\\\phantom{44)}\underline{\phantom{}88\phantom{}}\\\phantom{44)}11\\\end{array}
Find closest multiple of 44 to 99. We see that 2 \times 44 = 88 is the nearest. Now subtract 88 from 99 to get reminder 11. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }11
Since 11 is less than 44, stop the division. The reminder is 11. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}