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{900)}\phantom{1}\\900\overline{)3546}\\\end{array}
Use the 1^{st} digit 3 from dividend 3546
\begin{array}{l}\phantom{900)}0\phantom{2}\\900\overline{)3546}\\\end{array}
Since 3 is less than 900, use the next digit 5 from dividend 3546 and add 0 to the quotient
\begin{array}{l}\phantom{900)}0\phantom{3}\\900\overline{)3546}\\\end{array}
Use the 2^{nd} digit 5 from dividend 3546
\begin{array}{l}\phantom{900)}00\phantom{4}\\900\overline{)3546}\\\end{array}
Since 35 is less than 900, use the next digit 4 from dividend 3546 and add 0 to the quotient
\begin{array}{l}\phantom{900)}00\phantom{5}\\900\overline{)3546}\\\end{array}
Use the 3^{rd} digit 4 from dividend 3546
\begin{array}{l}\phantom{900)}000\phantom{6}\\900\overline{)3546}\\\end{array}
Since 354 is less than 900, use the next digit 6 from dividend 3546 and add 0 to the quotient
\begin{array}{l}\phantom{900)}000\phantom{7}\\900\overline{)3546}\\\end{array}
Use the 4^{th} digit 6 from dividend 3546
\begin{array}{l}\phantom{900)}0003\phantom{8}\\900\overline{)3546}\\\phantom{900)}\underline{\phantom{}2700\phantom{}}\\\phantom{900)9}846\\\end{array}
Find closest multiple of 900 to 3546. We see that 3 \times 900 = 2700 is the nearest. Now subtract 2700 from 3546 to get reminder 846. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }846
Since 846 is less than 900, stop the division. The reminder is 846. The topmost line 0003 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}