Evaluate
\frac{25}{11}\approx 2.272727273
Factor
\frac{5 ^ {2}}{11} = 2\frac{3}{11} = 2.272727272727273
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\begin{array}{l}\phantom{220)}\phantom{1}\\220\overline{)500}\\\end{array}
Use the 1^{st} digit 5 from dividend 500
\begin{array}{l}\phantom{220)}0\phantom{2}\\220\overline{)500}\\\end{array}
Since 5 is less than 220, use the next digit 0 from dividend 500 and add 0 to the quotient
\begin{array}{l}\phantom{220)}0\phantom{3}\\220\overline{)500}\\\end{array}
Use the 2^{nd} digit 0 from dividend 500
\begin{array}{l}\phantom{220)}00\phantom{4}\\220\overline{)500}\\\end{array}
Since 50 is less than 220, use the next digit 0 from dividend 500 and add 0 to the quotient
\begin{array}{l}\phantom{220)}00\phantom{5}\\220\overline{)500}\\\end{array}
Use the 3^{rd} digit 0 from dividend 500
\begin{array}{l}\phantom{220)}002\phantom{6}\\220\overline{)500}\\\phantom{220)}\underline{\phantom{}440\phantom{}}\\\phantom{220)9}60\\\end{array}
Find closest multiple of 220 to 500. We see that 2 \times 220 = 440 is the nearest. Now subtract 440 from 500 to get reminder 60. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }60
Since 60 is less than 220, stop the division. The reminder is 60. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}