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{275)}\phantom{1}\\275\overline{)6250}\\\end{array}
Use the 1^{st} digit 6 from dividend 6250
\begin{array}{l}\phantom{275)}0\phantom{2}\\275\overline{)6250}\\\end{array}
Since 6 is less than 275, use the next digit 2 from dividend 6250 and add 0 to the quotient
\begin{array}{l}\phantom{275)}0\phantom{3}\\275\overline{)6250}\\\end{array}
Use the 2^{nd} digit 2 from dividend 6250
\begin{array}{l}\phantom{275)}00\phantom{4}\\275\overline{)6250}\\\end{array}
Since 62 is less than 275, use the next digit 5 from dividend 6250 and add 0 to the quotient
\begin{array}{l}\phantom{275)}00\phantom{5}\\275\overline{)6250}\\\end{array}
Use the 3^{rd} digit 5 from dividend 6250
\begin{array}{l}\phantom{275)}002\phantom{6}\\275\overline{)6250}\\\phantom{275)}\underline{\phantom{}550\phantom{9}}\\\phantom{275)9}75\\\end{array}
Find closest multiple of 275 to 625. We see that 2 \times 275 = 550 is the nearest. Now subtract 550 from 625 to get reminder 75. Add 2 to quotient.
\begin{array}{l}\phantom{275)}002\phantom{7}\\275\overline{)6250}\\\phantom{275)}\underline{\phantom{}550\phantom{9}}\\\phantom{275)9}750\\\end{array}
Use the 4^{th} digit 0 from dividend 6250
\begin{array}{l}\phantom{275)}0022\phantom{8}\\275\overline{)6250}\\\phantom{275)}\underline{\phantom{}550\phantom{9}}\\\phantom{275)9}750\\\phantom{275)}\underline{\phantom{9}550\phantom{}}\\\phantom{275)9}200\\\end{array}
Find closest multiple of 275 to 750. We see that 2 \times 275 = 550 is the nearest. Now subtract 550 from 750 to get reminder 200. Add 2 to quotient.
\text{Quotient: }22 \text{Reminder: }200
Since 200 is less than 275, stop the division. The reminder is 200. The topmost line 0022 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}