Evaluate
\frac{139}{20}=6.95
Factor
\frac{139}{2 ^ {2} \cdot 5} = 6\frac{19}{20} = 6.95
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)139}\\\end{array}
Use the 1^{st} digit 1 from dividend 139
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)139}\\\end{array}
Since 1 is less than 20, use the next digit 3 from dividend 139 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)139}\\\end{array}
Use the 2^{nd} digit 3 from dividend 139
\begin{array}{l}\phantom{20)}00\phantom{4}\\20\overline{)139}\\\end{array}
Since 13 is less than 20, use the next digit 9 from dividend 139 and add 0 to the quotient
\begin{array}{l}\phantom{20)}00\phantom{5}\\20\overline{)139}\\\end{array}
Use the 3^{rd} digit 9 from dividend 139
\begin{array}{l}\phantom{20)}006\phantom{6}\\20\overline{)139}\\\phantom{20)}\underline{\phantom{}120\phantom{}}\\\phantom{20)9}19\\\end{array}
Find closest multiple of 20 to 139. We see that 6 \times 20 = 120 is the nearest. Now subtract 120 from 139 to get reminder 19. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }19
Since 19 is less than 20, stop the division. The reminder is 19. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}