Evaluate
66
Factor
2\times 3\times 11
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)6600}\\\end{array}
Use the 1^{st} digit 6 from dividend 6600
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)6600}\\\end{array}
Since 6 is less than 100, use the next digit 6 from dividend 6600 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)6600}\\\end{array}
Use the 2^{nd} digit 6 from dividend 6600
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)6600}\\\end{array}
Since 66 is less than 100, use the next digit 0 from dividend 6600 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)6600}\\\end{array}
Use the 3^{rd} digit 0 from dividend 6600
\begin{array}{l}\phantom{100)}006\phantom{6}\\100\overline{)6600}\\\phantom{100)}\underline{\phantom{}600\phantom{9}}\\\phantom{100)9}60\\\end{array}
Find closest multiple of 100 to 660. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 660 to get reminder 60. Add 6 to quotient.
\begin{array}{l}\phantom{100)}006\phantom{7}\\100\overline{)6600}\\\phantom{100)}\underline{\phantom{}600\phantom{9}}\\\phantom{100)9}600\\\end{array}
Use the 4^{th} digit 0 from dividend 6600
\begin{array}{l}\phantom{100)}0066\phantom{8}\\100\overline{)6600}\\\phantom{100)}\underline{\phantom{}600\phantom{9}}\\\phantom{100)9}600\\\phantom{100)}\underline{\phantom{9}600\phantom{}}\\\phantom{100)9999}0\\\end{array}
Find closest multiple of 100 to 600. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 600 to get reminder 0. Add 6 to quotient.
\text{Quotient: }66 \text{Reminder: }0
Since 0 is less than 100, 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}