Evaluate
\frac{369}{200}=1.845
Factor
\frac{3 ^ {2} \cdot 41}{2 ^ {3} \cdot 5 ^ {2}} = 1\frac{169}{200} = 1.845
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\begin{array}{l}\phantom{200)}\phantom{1}\\200\overline{)369}\\\end{array}
Use the 1^{st} digit 3 from dividend 369
\begin{array}{l}\phantom{200)}0\phantom{2}\\200\overline{)369}\\\end{array}
Since 3 is less than 200, use the next digit 6 from dividend 369 and add 0 to the quotient
\begin{array}{l}\phantom{200)}0\phantom{3}\\200\overline{)369}\\\end{array}
Use the 2^{nd} digit 6 from dividend 369
\begin{array}{l}\phantom{200)}00\phantom{4}\\200\overline{)369}\\\end{array}
Since 36 is less than 200, use the next digit 9 from dividend 369 and add 0 to the quotient
\begin{array}{l}\phantom{200)}00\phantom{5}\\200\overline{)369}\\\end{array}
Use the 3^{rd} digit 9 from dividend 369
\begin{array}{l}\phantom{200)}001\phantom{6}\\200\overline{)369}\\\phantom{200)}\underline{\phantom{}200\phantom{}}\\\phantom{200)}169\\\end{array}
Find closest multiple of 200 to 369. We see that 1 \times 200 = 200 is the nearest. Now subtract 200 from 369 to get reminder 169. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }169
Since 169 is less than 200, stop the division. The reminder is 169. 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}