Evaluate
\frac{197}{50}=3.94
Factor
\frac{197}{2 \cdot 5 ^ {2}} = 3\frac{47}{50} = 3.94
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)197}\\\end{array}
Use the 1^{st} digit 1 from dividend 197
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)197}\\\end{array}
Since 1 is less than 50, use the next digit 9 from dividend 197 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)197}\\\end{array}
Use the 2^{nd} digit 9 from dividend 197
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)197}\\\end{array}
Since 19 is less than 50, use the next digit 7 from dividend 197 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)197}\\\end{array}
Use the 3^{rd} digit 7 from dividend 197
\begin{array}{l}\phantom{50)}003\phantom{6}\\50\overline{)197}\\\phantom{50)}\underline{\phantom{}150\phantom{}}\\\phantom{50)9}47\\\end{array}
Find closest multiple of 50 to 197. We see that 3 \times 50 = 150 is the nearest. Now subtract 150 from 197 to get reminder 47. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }47
Since 47 is less than 50, stop the division. The reminder is 47. The topmost line 003 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}