Evaluate
\frac{50}{31}\approx 1.612903226
Factor
\frac{2 \cdot 5 ^ {2}}{31} = 1\frac{19}{31} = 1.6129032258064515
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\begin{array}{l}\phantom{217)}\phantom{1}\\217\overline{)350}\\\end{array}
Use the 1^{st} digit 3 from dividend 350
\begin{array}{l}\phantom{217)}0\phantom{2}\\217\overline{)350}\\\end{array}
Since 3 is less than 217, use the next digit 5 from dividend 350 and add 0 to the quotient
\begin{array}{l}\phantom{217)}0\phantom{3}\\217\overline{)350}\\\end{array}
Use the 2^{nd} digit 5 from dividend 350
\begin{array}{l}\phantom{217)}00\phantom{4}\\217\overline{)350}\\\end{array}
Since 35 is less than 217, use the next digit 0 from dividend 350 and add 0 to the quotient
\begin{array}{l}\phantom{217)}00\phantom{5}\\217\overline{)350}\\\end{array}
Use the 3^{rd} digit 0 from dividend 350
\begin{array}{l}\phantom{217)}001\phantom{6}\\217\overline{)350}\\\phantom{217)}\underline{\phantom{}217\phantom{}}\\\phantom{217)}133\\\end{array}
Find closest multiple of 217 to 350. We see that 1 \times 217 = 217 is the nearest. Now subtract 217 from 350 to get reminder 133. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }133
Since 133 is less than 217, stop the division. The reminder is 133. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}