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2
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\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)250}\\\end{array}
Use the 1^{st} digit 2 from dividend 250
\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)250}\\\end{array}
Since 2 is less than 125, use the next digit 5 from dividend 250 and add 0 to the quotient
\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)250}\\\end{array}
Use the 2^{nd} digit 5 from dividend 250
\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)250}\\\end{array}
Since 25 is less than 125, use the next digit 0 from dividend 250 and add 0 to the quotient
\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)250}\\\end{array}
Use the 3^{rd} digit 0 from dividend 250
\begin{array}{l}\phantom{125)}002\phantom{6}\\125\overline{)250}\\\phantom{125)}\underline{\phantom{}250\phantom{}}\\\phantom{125)999}0\\\end{array}
Find closest multiple of 125 to 250. We see that 2 \times 125 = 250 is the nearest. Now subtract 250 from 250 to get reminder 0. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }0
Since 0 is less than 125, stop the division. The reminder is 0. The topmost line 002 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}