Evaluate
\frac{50}{11}\approx 4.545454545
Factor
\frac{2 \cdot 5 ^ {2}}{11} = 4\frac{6}{11} = 4.545454545454546
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\begin{array}{l}\phantom{44)}\phantom{1}\\44\overline{)200}\\\end{array}
Use the 1^{st} digit 2 from dividend 200
\begin{array}{l}\phantom{44)}0\phantom{2}\\44\overline{)200}\\\end{array}
Since 2 is less than 44, use the next digit 0 from dividend 200 and add 0 to the quotient
\begin{array}{l}\phantom{44)}0\phantom{3}\\44\overline{)200}\\\end{array}
Use the 2^{nd} digit 0 from dividend 200
\begin{array}{l}\phantom{44)}00\phantom{4}\\44\overline{)200}\\\end{array}
Since 20 is less than 44, use the next digit 0 from dividend 200 and add 0 to the quotient
\begin{array}{l}\phantom{44)}00\phantom{5}\\44\overline{)200}\\\end{array}
Use the 3^{rd} digit 0 from dividend 200
\begin{array}{l}\phantom{44)}004\phantom{6}\\44\overline{)200}\\\phantom{44)}\underline{\phantom{}176\phantom{}}\\\phantom{44)9}24\\\end{array}
Find closest multiple of 44 to 200. We see that 4 \times 44 = 176 is the nearest. Now subtract 176 from 200 to get reminder 24. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }24
Since 24 is less than 44, stop the division. The reminder is 24. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}