Evaluate
\frac{1020}{11}\approx 92.727272727
Factor
\frac{2 ^ {2} \cdot 3 \cdot 5 \cdot 17}{11} = 92\frac{8}{11} = 92.72727272727273
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\begin{array}{l}\phantom{33)}\phantom{1}\\33\overline{)3060}\\\end{array}
Use the 1^{st} digit 3 from dividend 3060
\begin{array}{l}\phantom{33)}0\phantom{2}\\33\overline{)3060}\\\end{array}
Since 3 is less than 33, use the next digit 0 from dividend 3060 and add 0 to the quotient
\begin{array}{l}\phantom{33)}0\phantom{3}\\33\overline{)3060}\\\end{array}
Use the 2^{nd} digit 0 from dividend 3060
\begin{array}{l}\phantom{33)}00\phantom{4}\\33\overline{)3060}\\\end{array}
Since 30 is less than 33, use the next digit 6 from dividend 3060 and add 0 to the quotient
\begin{array}{l}\phantom{33)}00\phantom{5}\\33\overline{)3060}\\\end{array}
Use the 3^{rd} digit 6 from dividend 3060
\begin{array}{l}\phantom{33)}009\phantom{6}\\33\overline{)3060}\\\phantom{33)}\underline{\phantom{}297\phantom{9}}\\\phantom{33)99}9\\\end{array}
Find closest multiple of 33 to 306. We see that 9 \times 33 = 297 is the nearest. Now subtract 297 from 306 to get reminder 9. Add 9 to quotient.
\begin{array}{l}\phantom{33)}009\phantom{7}\\33\overline{)3060}\\\phantom{33)}\underline{\phantom{}297\phantom{9}}\\\phantom{33)99}90\\\end{array}
Use the 4^{th} digit 0 from dividend 3060
\begin{array}{l}\phantom{33)}0092\phantom{8}\\33\overline{)3060}\\\phantom{33)}\underline{\phantom{}297\phantom{9}}\\\phantom{33)99}90\\\phantom{33)}\underline{\phantom{99}66\phantom{}}\\\phantom{33)99}24\\\end{array}
Find closest multiple of 33 to 90. We see that 2 \times 33 = 66 is the nearest. Now subtract 66 from 90 to get reminder 24. Add 2 to quotient.
\text{Quotient: }92 \text{Reminder: }24
Since 24 is less than 33, stop the division. The reminder is 24. The topmost line 0092 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 92.
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}