Evaluate
\frac{621}{200}=3.105
Factor
\frac{3 ^ {3} \cdot 23}{2 ^ {3} \cdot 5 ^ {2}} = 3\frac{21}{200} = 3.105
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\begin{array}{l}\phantom{200)}\phantom{1}\\200\overline{)621}\\\end{array}
Use the 1^{st} digit 6 from dividend 621
\begin{array}{l}\phantom{200)}0\phantom{2}\\200\overline{)621}\\\end{array}
Since 6 is less than 200, use the next digit 2 from dividend 621 and add 0 to the quotient
\begin{array}{l}\phantom{200)}0\phantom{3}\\200\overline{)621}\\\end{array}
Use the 2^{nd} digit 2 from dividend 621
\begin{array}{l}\phantom{200)}00\phantom{4}\\200\overline{)621}\\\end{array}
Since 62 is less than 200, use the next digit 1 from dividend 621 and add 0 to the quotient
\begin{array}{l}\phantom{200)}00\phantom{5}\\200\overline{)621}\\\end{array}
Use the 3^{rd} digit 1 from dividend 621
\begin{array}{l}\phantom{200)}003\phantom{6}\\200\overline{)621}\\\phantom{200)}\underline{\phantom{}600\phantom{}}\\\phantom{200)9}21\\\end{array}
Find closest multiple of 200 to 621. We see that 3 \times 200 = 600 is the nearest. Now subtract 600 from 621 to get reminder 21. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }21
Since 21 is less than 200, stop the division. The reminder is 21. 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}