Evaluate
\frac{1863}{200}=9.315
Factor
\frac{3 ^ {4} \cdot 23}{2 ^ {3} \cdot 5 ^ {2}} = 9\frac{63}{200} = 9.315
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\begin{array}{l}\phantom{2000)}\phantom{1}\\2000\overline{)18630}\\\end{array}
Use the 1^{st} digit 1 from dividend 18630
\begin{array}{l}\phantom{2000)}0\phantom{2}\\2000\overline{)18630}\\\end{array}
Since 1 is less than 2000, use the next digit 8 from dividend 18630 and add 0 to the quotient
\begin{array}{l}\phantom{2000)}0\phantom{3}\\2000\overline{)18630}\\\end{array}
Use the 2^{nd} digit 8 from dividend 18630
\begin{array}{l}\phantom{2000)}00\phantom{4}\\2000\overline{)18630}\\\end{array}
Since 18 is less than 2000, use the next digit 6 from dividend 18630 and add 0 to the quotient
\begin{array}{l}\phantom{2000)}00\phantom{5}\\2000\overline{)18630}\\\end{array}
Use the 3^{rd} digit 6 from dividend 18630
\begin{array}{l}\phantom{2000)}000\phantom{6}\\2000\overline{)18630}\\\end{array}
Since 186 is less than 2000, use the next digit 3 from dividend 18630 and add 0 to the quotient
\begin{array}{l}\phantom{2000)}000\phantom{7}\\2000\overline{)18630}\\\end{array}
Use the 4^{th} digit 3 from dividend 18630
\begin{array}{l}\phantom{2000)}0000\phantom{8}\\2000\overline{)18630}\\\end{array}
Since 1863 is less than 2000, use the next digit 0 from dividend 18630 and add 0 to the quotient
\begin{array}{l}\phantom{2000)}0000\phantom{9}\\2000\overline{)18630}\\\end{array}
Use the 5^{th} digit 0 from dividend 18630
\begin{array}{l}\phantom{2000)}00009\phantom{10}\\2000\overline{)18630}\\\phantom{2000)}\underline{\phantom{}18000\phantom{}}\\\phantom{2000)99}630\\\end{array}
Find closest multiple of 2000 to 18630. We see that 9 \times 2000 = 18000 is the nearest. Now subtract 18000 from 18630 to get reminder 630. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }630
Since 630 is less than 2000, stop the division. The reminder is 630. The topmost line 00009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}