Evaluate
\frac{62}{25}=2.48
Factor
\frac{2 \cdot 31}{5 ^ {2}} = 2\frac{12}{25} = 2.48
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\begin{array}{l}\phantom{500)}\phantom{1}\\500\overline{)1240}\\\end{array}
Use the 1^{st} digit 1 from dividend 1240
\begin{array}{l}\phantom{500)}0\phantom{2}\\500\overline{)1240}\\\end{array}
Since 1 is less than 500, use the next digit 2 from dividend 1240 and add 0 to the quotient
\begin{array}{l}\phantom{500)}0\phantom{3}\\500\overline{)1240}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1240
\begin{array}{l}\phantom{500)}00\phantom{4}\\500\overline{)1240}\\\end{array}
Since 12 is less than 500, use the next digit 4 from dividend 1240 and add 0 to the quotient
\begin{array}{l}\phantom{500)}00\phantom{5}\\500\overline{)1240}\\\end{array}
Use the 3^{rd} digit 4 from dividend 1240
\begin{array}{l}\phantom{500)}000\phantom{6}\\500\overline{)1240}\\\end{array}
Since 124 is less than 500, use the next digit 0 from dividend 1240 and add 0 to the quotient
\begin{array}{l}\phantom{500)}000\phantom{7}\\500\overline{)1240}\\\end{array}
Use the 4^{th} digit 0 from dividend 1240
\begin{array}{l}\phantom{500)}0002\phantom{8}\\500\overline{)1240}\\\phantom{500)}\underline{\phantom{}1000\phantom{}}\\\phantom{500)9}240\\\end{array}
Find closest multiple of 500 to 1240. We see that 2 \times 500 = 1000 is the nearest. Now subtract 1000 from 1240 to get reminder 240. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }240
Since 240 is less than 500, stop the division. The reminder is 240. The topmost line 0002 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}