Evaluate
\frac{366}{11}\approx 33.272727273
Factor
\frac{2 \cdot 3 \cdot 61}{11} = 33\frac{3}{11} = 33.27272727272727
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\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)732}\\\end{array}
Use the 1^{st} digit 7 from dividend 732
\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)732}\\\end{array}
Since 7 is less than 22, use the next digit 3 from dividend 732 and add 0 to the quotient
\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)732}\\\end{array}
Use the 2^{nd} digit 3 from dividend 732
\begin{array}{l}\phantom{22)}03\phantom{4}\\22\overline{)732}\\\phantom{22)}\underline{\phantom{}66\phantom{9}}\\\phantom{22)9}7\\\end{array}
Find closest multiple of 22 to 73. We see that 3 \times 22 = 66 is the nearest. Now subtract 66 from 73 to get reminder 7. Add 3 to quotient.
\begin{array}{l}\phantom{22)}03\phantom{5}\\22\overline{)732}\\\phantom{22)}\underline{\phantom{}66\phantom{9}}\\\phantom{22)9}72\\\end{array}
Use the 3^{rd} digit 2 from dividend 732
\begin{array}{l}\phantom{22)}033\phantom{6}\\22\overline{)732}\\\phantom{22)}\underline{\phantom{}66\phantom{9}}\\\phantom{22)9}72\\\phantom{22)}\underline{\phantom{9}66\phantom{}}\\\phantom{22)99}6\\\end{array}
Find closest multiple of 22 to 72. We see that 3 \times 22 = 66 is the nearest. Now subtract 66 from 72 to get reminder 6. Add 3 to quotient.
\text{Quotient: }33 \text{Reminder: }6
Since 6 is less than 22, stop the division. The reminder is 6. The topmost line 033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.
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}