Evaluate
\frac{25}{23}\approx 1.086956522
Factor
\frac{5 ^ {2}}{23} = 1\frac{2}{23} = 1.0869565217391304
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\begin{array}{l}\phantom{4830)}\phantom{1}\\4830\overline{)5250}\\\end{array}
Use the 1^{st} digit 5 from dividend 5250
\begin{array}{l}\phantom{4830)}0\phantom{2}\\4830\overline{)5250}\\\end{array}
Since 5 is less than 4830, use the next digit 2 from dividend 5250 and add 0 to the quotient
\begin{array}{l}\phantom{4830)}0\phantom{3}\\4830\overline{)5250}\\\end{array}
Use the 2^{nd} digit 2 from dividend 5250
\begin{array}{l}\phantom{4830)}00\phantom{4}\\4830\overline{)5250}\\\end{array}
Since 52 is less than 4830, use the next digit 5 from dividend 5250 and add 0 to the quotient
\begin{array}{l}\phantom{4830)}00\phantom{5}\\4830\overline{)5250}\\\end{array}
Use the 3^{rd} digit 5 from dividend 5250
\begin{array}{l}\phantom{4830)}000\phantom{6}\\4830\overline{)5250}\\\end{array}
Since 525 is less than 4830, use the next digit 0 from dividend 5250 and add 0 to the quotient
\begin{array}{l}\phantom{4830)}000\phantom{7}\\4830\overline{)5250}\\\end{array}
Use the 4^{th} digit 0 from dividend 5250
\begin{array}{l}\phantom{4830)}0001\phantom{8}\\4830\overline{)5250}\\\phantom{4830)}\underline{\phantom{}4830\phantom{}}\\\phantom{4830)9}420\\\end{array}
Find closest multiple of 4830 to 5250. We see that 1 \times 4830 = 4830 is the nearest. Now subtract 4830 from 5250 to get reminder 420. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }420
Since 420 is less than 4830, stop the division. The reminder is 420. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}