Evaluate
\frac{50}{19}\approx 2.631578947
Factor
\frac{2 \cdot 5 ^ {2}}{19} = 2\frac{12}{19} = 2.6315789473684212
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\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)50}\\\end{array}
Use the 1^{st} digit 5 from dividend 50
\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)50}\\\end{array}
Since 5 is less than 19, use the next digit 0 from dividend 50 and add 0 to the quotient
\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)50}\\\end{array}
Use the 2^{nd} digit 0 from dividend 50
\begin{array}{l}\phantom{19)}02\phantom{4}\\19\overline{)50}\\\phantom{19)}\underline{\phantom{}38\phantom{}}\\\phantom{19)}12\\\end{array}
Find closest multiple of 19 to 50. We see that 2 \times 19 = 38 is the nearest. Now subtract 38 from 50 to get reminder 12. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }12
Since 12 is less than 19, stop the division. The reminder is 12. The topmost line 02 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}