Evaluate
\frac{413}{44}\approx 9.386363636
Factor
\frac{7 \cdot 59}{2 ^ {2} \cdot 11} = 9\frac{17}{44} = 9.386363636363637
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\begin{array}{l}\phantom{2200)}\phantom{1}\\2200\overline{)20650}\\\end{array}
Use the 1^{st} digit 2 from dividend 20650
\begin{array}{l}\phantom{2200)}0\phantom{2}\\2200\overline{)20650}\\\end{array}
Since 2 is less than 2200, use the next digit 0 from dividend 20650 and add 0 to the quotient
\begin{array}{l}\phantom{2200)}0\phantom{3}\\2200\overline{)20650}\\\end{array}
Use the 2^{nd} digit 0 from dividend 20650
\begin{array}{l}\phantom{2200)}00\phantom{4}\\2200\overline{)20650}\\\end{array}
Since 20 is less than 2200, use the next digit 6 from dividend 20650 and add 0 to the quotient
\begin{array}{l}\phantom{2200)}00\phantom{5}\\2200\overline{)20650}\\\end{array}
Use the 3^{rd} digit 6 from dividend 20650
\begin{array}{l}\phantom{2200)}000\phantom{6}\\2200\overline{)20650}\\\end{array}
Since 206 is less than 2200, use the next digit 5 from dividend 20650 and add 0 to the quotient
\begin{array}{l}\phantom{2200)}000\phantom{7}\\2200\overline{)20650}\\\end{array}
Use the 4^{th} digit 5 from dividend 20650
\begin{array}{l}\phantom{2200)}0000\phantom{8}\\2200\overline{)20650}\\\end{array}
Since 2065 is less than 2200, use the next digit 0 from dividend 20650 and add 0 to the quotient
\begin{array}{l}\phantom{2200)}0000\phantom{9}\\2200\overline{)20650}\\\end{array}
Use the 5^{th} digit 0 from dividend 20650
\begin{array}{l}\phantom{2200)}00009\phantom{10}\\2200\overline{)20650}\\\phantom{2200)}\underline{\phantom{}19800\phantom{}}\\\phantom{2200)99}850\\\end{array}
Find closest multiple of 2200 to 20650. We see that 9 \times 2200 = 19800 is the nearest. Now subtract 19800 from 20650 to get reminder 850. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }850
Since 850 is less than 2200, stop the division. The reminder is 850. 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}