Evaluate
\frac{59}{16}=3.6875
Factor
\frac{59}{2 ^ {4}} = 3\frac{11}{16} = 3.6875
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\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)59}\\\end{array}
Use the 1^{st} digit 5 from dividend 59
\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)59}\\\end{array}
Since 5 is less than 16, use the next digit 9 from dividend 59 and add 0 to the quotient
\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)59}\\\end{array}
Use the 2^{nd} digit 9 from dividend 59
\begin{array}{l}\phantom{16)}03\phantom{4}\\16\overline{)59}\\\phantom{16)}\underline{\phantom{}48\phantom{}}\\\phantom{16)}11\\\end{array}
Find closest multiple of 16 to 59. We see that 3 \times 16 = 48 is the nearest. Now subtract 48 from 59 to get reminder 11. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }11
Since 11 is less than 16, stop the division. The reminder is 11. 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}