Evaluate
\frac{99}{25}=3.96
Factor
\frac{3 ^ {2} \cdot 11}{5 ^ {2}} = 3\frac{24}{25} = 3.96
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)99}\\\end{array}
Use the 1^{st} digit 9 from dividend 99
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)99}\\\end{array}
Since 9 is less than 25, use the next digit 9 from dividend 99 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)99}\\\end{array}
Use the 2^{nd} digit 9 from dividend 99
\begin{array}{l}\phantom{25)}03\phantom{4}\\25\overline{)99}\\\phantom{25)}\underline{\phantom{}75\phantom{}}\\\phantom{25)}24\\\end{array}
Find closest multiple of 25 to 99. We see that 3 \times 25 = 75 is the nearest. Now subtract 75 from 99 to get reminder 24. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }24
Since 24 is less than 25, stop the division. The reminder is 24. The topmost line 03 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}