Evaluate
66
Factor
2\times 3\times 11
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)1320}\\\end{array}
Use the 1^{st} digit 1 from dividend 1320
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)1320}\\\end{array}
Since 1 is less than 20, use the next digit 3 from dividend 1320 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)1320}\\\end{array}
Use the 2^{nd} digit 3 from dividend 1320
\begin{array}{l}\phantom{20)}00\phantom{4}\\20\overline{)1320}\\\end{array}
Since 13 is less than 20, use the next digit 2 from dividend 1320 and add 0 to the quotient
\begin{array}{l}\phantom{20)}00\phantom{5}\\20\overline{)1320}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1320
\begin{array}{l}\phantom{20)}006\phantom{6}\\20\overline{)1320}\\\phantom{20)}\underline{\phantom{}120\phantom{9}}\\\phantom{20)9}12\\\end{array}
Find closest multiple of 20 to 132. We see that 6 \times 20 = 120 is the nearest. Now subtract 120 from 132 to get reminder 12. Add 6 to quotient.
\begin{array}{l}\phantom{20)}006\phantom{7}\\20\overline{)1320}\\\phantom{20)}\underline{\phantom{}120\phantom{9}}\\\phantom{20)9}120\\\end{array}
Use the 4^{th} digit 0 from dividend 1320
\begin{array}{l}\phantom{20)}0066\phantom{8}\\20\overline{)1320}\\\phantom{20)}\underline{\phantom{}120\phantom{9}}\\\phantom{20)9}120\\\phantom{20)}\underline{\phantom{9}120\phantom{}}\\\phantom{20)9999}0\\\end{array}
Find closest multiple of 20 to 120. We see that 6 \times 20 = 120 is the nearest. Now subtract 120 from 120 to get reminder 0. Add 6 to quotient.
\text{Quotient: }66 \text{Reminder: }0
Since 0 is less than 20, stop the division. The reminder is 0. The topmost line 0066 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 66.
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}