Evaluate
\frac{100}{11}\approx 9.090909091
Factor
\frac{2 ^ {2} \cdot 5 ^ {2}}{11} = 9\frac{1}{11} = 9.090909090909092
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\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)200}\\\end{array}
Use the 1^{st} digit 2 from dividend 200
\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)200}\\\end{array}
Since 2 is less than 22, use the next digit 0 from dividend 200 and add 0 to the quotient
\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)200}\\\end{array}
Use the 2^{nd} digit 0 from dividend 200
\begin{array}{l}\phantom{22)}00\phantom{4}\\22\overline{)200}\\\end{array}
Since 20 is less than 22, use the next digit 0 from dividend 200 and add 0 to the quotient
\begin{array}{l}\phantom{22)}00\phantom{5}\\22\overline{)200}\\\end{array}
Use the 3^{rd} digit 0 from dividend 200
\begin{array}{l}\phantom{22)}009\phantom{6}\\22\overline{)200}\\\phantom{22)}\underline{\phantom{}198\phantom{}}\\\phantom{22)99}2\\\end{array}
Find closest multiple of 22 to 200. We see that 9 \times 22 = 198 is the nearest. Now subtract 198 from 200 to get reminder 2. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }2
Since 2 is less than 22, stop the division. The reminder is 2. The topmost line 009 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}