Evaluate
\frac{56}{25}=2.24
Factor
\frac{2 ^ {3} \cdot 7}{5 ^ {2}} = 2\frac{6}{25} = 2.24
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\begin{array}{l}\phantom{625)}\phantom{1}\\625\overline{)1400}\\\end{array}
Use the 1^{st} digit 1 from dividend 1400
\begin{array}{l}\phantom{625)}0\phantom{2}\\625\overline{)1400}\\\end{array}
Since 1 is less than 625, use the next digit 4 from dividend 1400 and add 0 to the quotient
\begin{array}{l}\phantom{625)}0\phantom{3}\\625\overline{)1400}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1400
\begin{array}{l}\phantom{625)}00\phantom{4}\\625\overline{)1400}\\\end{array}
Since 14 is less than 625, use the next digit 0 from dividend 1400 and add 0 to the quotient
\begin{array}{l}\phantom{625)}00\phantom{5}\\625\overline{)1400}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1400
\begin{array}{l}\phantom{625)}000\phantom{6}\\625\overline{)1400}\\\end{array}
Since 140 is less than 625, use the next digit 0 from dividend 1400 and add 0 to the quotient
\begin{array}{l}\phantom{625)}000\phantom{7}\\625\overline{)1400}\\\end{array}
Use the 4^{th} digit 0 from dividend 1400
\begin{array}{l}\phantom{625)}0002\phantom{8}\\625\overline{)1400}\\\phantom{625)}\underline{\phantom{}1250\phantom{}}\\\phantom{625)9}150\\\end{array}
Find closest multiple of 625 to 1400. We see that 2 \times 625 = 1250 is the nearest. Now subtract 1250 from 1400 to get reminder 150. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }150
Since 150 is less than 625, stop the division. The reminder is 150. 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}