Evaluate
\frac{250}{11}\approx 22.727272727
Factor
\frac{2 \cdot 5 ^ {3}}{11} = 22\frac{8}{11} = 22.727272727272727
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\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)500}\\\end{array}
Use the 1^{st} digit 5 from dividend 500
\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)500}\\\end{array}
Since 5 is less than 22, use the next digit 0 from dividend 500 and add 0 to the quotient
\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)500}\\\end{array}
Use the 2^{nd} digit 0 from dividend 500
\begin{array}{l}\phantom{22)}02\phantom{4}\\22\overline{)500}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)9}6\\\end{array}
Find closest multiple of 22 to 50. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 50 to get reminder 6. Add 2 to quotient.
\begin{array}{l}\phantom{22)}02\phantom{5}\\22\overline{)500}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)9}60\\\end{array}
Use the 3^{rd} digit 0 from dividend 500
\begin{array}{l}\phantom{22)}022\phantom{6}\\22\overline{)500}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)9}60\\\phantom{22)}\underline{\phantom{9}44\phantom{}}\\\phantom{22)9}16\\\end{array}
Find closest multiple of 22 to 60. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 60 to get reminder 16. Add 2 to quotient.
\text{Quotient: }22 \text{Reminder: }16
Since 16 is less than 22, stop the division. The reminder is 16. The topmost line 022 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}