Evaluate
\frac{9}{5}=1.8
Factor
\frac{3 ^ {2}}{5} = 1\frac{4}{5} = 1.8
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)27}\\\end{array}
Use the 1^{st} digit 2 from dividend 27
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)27}\\\end{array}
Since 2 is less than 15, use the next digit 7 from dividend 27 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)27}\\\end{array}
Use the 2^{nd} digit 7 from dividend 27
\begin{array}{l}\phantom{15)}01\phantom{4}\\15\overline{)27}\\\phantom{15)}\underline{\phantom{}15\phantom{}}\\\phantom{15)}12\\\end{array}
Find closest multiple of 15 to 27. We see that 1 \times 15 = 15 is the nearest. Now subtract 15 from 27 to get reminder 12. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }12
Since 12 is less than 15, stop the division. The reminder is 12. 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}