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\begin{array}{l}\phantom{57)}\phantom{1}\\57\overline{)114}\\\end{array}
Use the 1^{st} digit 1 from dividend 114
\begin{array}{l}\phantom{57)}0\phantom{2}\\57\overline{)114}\\\end{array}
Since 1 is less than 57, use the next digit 1 from dividend 114 and add 0 to the quotient
\begin{array}{l}\phantom{57)}0\phantom{3}\\57\overline{)114}\\\end{array}
Use the 2^{nd} digit 1 from dividend 114
\begin{array}{l}\phantom{57)}00\phantom{4}\\57\overline{)114}\\\end{array}
Since 11 is less than 57, use the next digit 4 from dividend 114 and add 0 to the quotient
\begin{array}{l}\phantom{57)}00\phantom{5}\\57\overline{)114}\\\end{array}
Use the 3^{rd} digit 4 from dividend 114
\begin{array}{l}\phantom{57)}002\phantom{6}\\57\overline{)114}\\\phantom{57)}\underline{\phantom{}114\phantom{}}\\\phantom{57)999}0\\\end{array}
Find closest multiple of 57 to 114. We see that 2 \times 57 = 114 is the nearest. Now subtract 114 from 114 to get reminder 0. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }0
Since 0 is less than 57, 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}