Evaluate
\frac{37783}{1650}\approx 22.898787879
Factor
\frac{37783}{2 \cdot 3 \cdot 5 ^ {2} \cdot 11} = 22\frac{1483}{1650} = 22.89878787878788
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\begin{array}{l}\phantom{9900)}\phantom{1}\\9900\overline{)226698}\\\end{array}
Use the 1^{st} digit 2 from dividend 226698
\begin{array}{l}\phantom{9900)}0\phantom{2}\\9900\overline{)226698}\\\end{array}
Since 2 is less than 9900, use the next digit 2 from dividend 226698 and add 0 to the quotient
\begin{array}{l}\phantom{9900)}0\phantom{3}\\9900\overline{)226698}\\\end{array}
Use the 2^{nd} digit 2 from dividend 226698
\begin{array}{l}\phantom{9900)}00\phantom{4}\\9900\overline{)226698}\\\end{array}
Since 22 is less than 9900, use the next digit 6 from dividend 226698 and add 0 to the quotient
\begin{array}{l}\phantom{9900)}00\phantom{5}\\9900\overline{)226698}\\\end{array}
Use the 3^{rd} digit 6 from dividend 226698
\begin{array}{l}\phantom{9900)}000\phantom{6}\\9900\overline{)226698}\\\end{array}
Since 226 is less than 9900, use the next digit 6 from dividend 226698 and add 0 to the quotient
\begin{array}{l}\phantom{9900)}000\phantom{7}\\9900\overline{)226698}\\\end{array}
Use the 4^{th} digit 6 from dividend 226698
\begin{array}{l}\phantom{9900)}0000\phantom{8}\\9900\overline{)226698}\\\end{array}
Since 2266 is less than 9900, use the next digit 9 from dividend 226698 and add 0 to the quotient
\begin{array}{l}\phantom{9900)}0000\phantom{9}\\9900\overline{)226698}\\\end{array}
Use the 5^{th} digit 9 from dividend 226698
\begin{array}{l}\phantom{9900)}00002\phantom{10}\\9900\overline{)226698}\\\phantom{9900)}\underline{\phantom{}19800\phantom{9}}\\\phantom{9900)9}2869\\\end{array}
Find closest multiple of 9900 to 22669. We see that 2 \times 9900 = 19800 is the nearest. Now subtract 19800 from 22669 to get reminder 2869. Add 2 to quotient.
\begin{array}{l}\phantom{9900)}00002\phantom{11}\\9900\overline{)226698}\\\phantom{9900)}\underline{\phantom{}19800\phantom{9}}\\\phantom{9900)9}28698\\\end{array}
Use the 6^{th} digit 8 from dividend 226698
\begin{array}{l}\phantom{9900)}000022\phantom{12}\\9900\overline{)226698}\\\phantom{9900)}\underline{\phantom{}19800\phantom{9}}\\\phantom{9900)9}28698\\\phantom{9900)}\underline{\phantom{9}19800\phantom{}}\\\phantom{9900)99}8898\\\end{array}
Find closest multiple of 9900 to 28698. We see that 2 \times 9900 = 19800 is the nearest. Now subtract 19800 from 28698 to get reminder 8898. Add 2 to quotient.
\text{Quotient: }22 \text{Reminder: }8898
Since 8898 is less than 9900, stop the division. The reminder is 8898. The topmost line 000022 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22.
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}