Evaluate
\frac{139}{50}=2.78
Factor
\frac{139}{2 \cdot 5 ^ {2}} = 2\frac{39}{50} = 2.78
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)139}\\\end{array}
Use the 1^{st} digit 1 from dividend 139
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)139}\\\end{array}
Since 1 is less than 50, use the next digit 3 from dividend 139 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)139}\\\end{array}
Use the 2^{nd} digit 3 from dividend 139
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)139}\\\end{array}
Since 13 is less than 50, use the next digit 9 from dividend 139 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)139}\\\end{array}
Use the 3^{rd} digit 9 from dividend 139
\begin{array}{l}\phantom{50)}002\phantom{6}\\50\overline{)139}\\\phantom{50)}\underline{\phantom{}100\phantom{}}\\\phantom{50)9}39\\\end{array}
Find closest multiple of 50 to 139. We see that 2 \times 50 = 100 is the nearest. Now subtract 100 from 139 to get reminder 39. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }39
Since 39 is less than 50, stop the division. The reminder is 39. The topmost line 002 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}