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\begin{array}{l}\phantom{66)}\phantom{1}\\66\overline{)132}\\\end{array}
Use the 1^{st} digit 1 from dividend 132
\begin{array}{l}\phantom{66)}0\phantom{2}\\66\overline{)132}\\\end{array}
Since 1 is less than 66, use the next digit 3 from dividend 132 and add 0 to the quotient
\begin{array}{l}\phantom{66)}0\phantom{3}\\66\overline{)132}\\\end{array}
Use the 2^{nd} digit 3 from dividend 132
\begin{array}{l}\phantom{66)}00\phantom{4}\\66\overline{)132}\\\end{array}
Since 13 is less than 66, use the next digit 2 from dividend 132 and add 0 to the quotient
\begin{array}{l}\phantom{66)}00\phantom{5}\\66\overline{)132}\\\end{array}
Use the 3^{rd} digit 2 from dividend 132
\begin{array}{l}\phantom{66)}002\phantom{6}\\66\overline{)132}\\\phantom{66)}\underline{\phantom{}132\phantom{}}\\\phantom{66)999}0\\\end{array}
Find closest multiple of 66 to 132. We see that 2 \times 66 = 132 is the nearest. Now subtract 132 from 132 to get reminder 0. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }0
Since 0 is less than 66, 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}