Evaluate
\frac{15}{4}=3.75
Factor
\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75
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\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)60}\\\end{array}
Use the 1^{st} digit 6 from dividend 60
\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)60}\\\end{array}
Since 6 is less than 16, use the next digit 0 from dividend 60 and add 0 to the quotient
\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)60}\\\end{array}
Use the 2^{nd} digit 0 from dividend 60
\begin{array}{l}\phantom{16)}03\phantom{4}\\16\overline{)60}\\\phantom{16)}\underline{\phantom{}48\phantom{}}\\\phantom{16)}12\\\end{array}
Find closest multiple of 16 to 60. We see that 3 \times 16 = 48 is the nearest. Now subtract 48 from 60 to get reminder 12. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }12
Since 12 is less than 16, stop the division. The reminder is 12. 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}