Evaluate
\frac{6663}{73}\approx 91.273972603
Factor
\frac{3 \cdot 2221}{73} = 91\frac{20}{73} = 91.27397260273973
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\begin{array}{l}\phantom{73)}\phantom{1}\\73\overline{)6663}\\\end{array}
Use the 1^{st} digit 6 from dividend 6663
\begin{array}{l}\phantom{73)}0\phantom{2}\\73\overline{)6663}\\\end{array}
Since 6 is less than 73, use the next digit 6 from dividend 6663 and add 0 to the quotient
\begin{array}{l}\phantom{73)}0\phantom{3}\\73\overline{)6663}\\\end{array}
Use the 2^{nd} digit 6 from dividend 6663
\begin{array}{l}\phantom{73)}00\phantom{4}\\73\overline{)6663}\\\end{array}
Since 66 is less than 73, use the next digit 6 from dividend 6663 and add 0 to the quotient
\begin{array}{l}\phantom{73)}00\phantom{5}\\73\overline{)6663}\\\end{array}
Use the 3^{rd} digit 6 from dividend 6663
\begin{array}{l}\phantom{73)}009\phantom{6}\\73\overline{)6663}\\\phantom{73)}\underline{\phantom{}657\phantom{9}}\\\phantom{73)99}9\\\end{array}
Find closest multiple of 73 to 666. We see that 9 \times 73 = 657 is the nearest. Now subtract 657 from 666 to get reminder 9. Add 9 to quotient.
\begin{array}{l}\phantom{73)}009\phantom{7}\\73\overline{)6663}\\\phantom{73)}\underline{\phantom{}657\phantom{9}}\\\phantom{73)99}93\\\end{array}
Use the 4^{th} digit 3 from dividend 6663
\begin{array}{l}\phantom{73)}0091\phantom{8}\\73\overline{)6663}\\\phantom{73)}\underline{\phantom{}657\phantom{9}}\\\phantom{73)99}93\\\phantom{73)}\underline{\phantom{99}73\phantom{}}\\\phantom{73)99}20\\\end{array}
Find closest multiple of 73 to 93. We see that 1 \times 73 = 73 is the nearest. Now subtract 73 from 93 to get reminder 20. Add 1 to quotient.
\text{Quotient: }91 \text{Reminder: }20
Since 20 is less than 73, stop the division. The reminder is 20. The topmost line 0091 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 91.
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}