Evaluate
369
Factor
3^{2}\times 41
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\begin{array}{l}\phantom{90)}\phantom{1}\\90\overline{)33210}\\\end{array}
Use the 1^{st} digit 3 from dividend 33210
\begin{array}{l}\phantom{90)}0\phantom{2}\\90\overline{)33210}\\\end{array}
Since 3 is less than 90, use the next digit 3 from dividend 33210 and add 0 to the quotient
\begin{array}{l}\phantom{90)}0\phantom{3}\\90\overline{)33210}\\\end{array}
Use the 2^{nd} digit 3 from dividend 33210
\begin{array}{l}\phantom{90)}00\phantom{4}\\90\overline{)33210}\\\end{array}
Since 33 is less than 90, use the next digit 2 from dividend 33210 and add 0 to the quotient
\begin{array}{l}\phantom{90)}00\phantom{5}\\90\overline{)33210}\\\end{array}
Use the 3^{rd} digit 2 from dividend 33210
\begin{array}{l}\phantom{90)}003\phantom{6}\\90\overline{)33210}\\\phantom{90)}\underline{\phantom{}270\phantom{99}}\\\phantom{90)9}62\\\end{array}
Find closest multiple of 90 to 332. We see that 3 \times 90 = 270 is the nearest. Now subtract 270 from 332 to get reminder 62. Add 3 to quotient.
\begin{array}{l}\phantom{90)}003\phantom{7}\\90\overline{)33210}\\\phantom{90)}\underline{\phantom{}270\phantom{99}}\\\phantom{90)9}621\\\end{array}
Use the 4^{th} digit 1 from dividend 33210
\begin{array}{l}\phantom{90)}0036\phantom{8}\\90\overline{)33210}\\\phantom{90)}\underline{\phantom{}270\phantom{99}}\\\phantom{90)9}621\\\phantom{90)}\underline{\phantom{9}540\phantom{9}}\\\phantom{90)99}81\\\end{array}
Find closest multiple of 90 to 621. We see that 6 \times 90 = 540 is the nearest. Now subtract 540 from 621 to get reminder 81. Add 6 to quotient.
\begin{array}{l}\phantom{90)}0036\phantom{9}\\90\overline{)33210}\\\phantom{90)}\underline{\phantom{}270\phantom{99}}\\\phantom{90)9}621\\\phantom{90)}\underline{\phantom{9}540\phantom{9}}\\\phantom{90)99}810\\\end{array}
Use the 5^{th} digit 0 from dividend 33210
\begin{array}{l}\phantom{90)}00369\phantom{10}\\90\overline{)33210}\\\phantom{90)}\underline{\phantom{}270\phantom{99}}\\\phantom{90)9}621\\\phantom{90)}\underline{\phantom{9}540\phantom{9}}\\\phantom{90)99}810\\\phantom{90)}\underline{\phantom{99}810\phantom{}}\\\phantom{90)99999}0\\\end{array}
Find closest multiple of 90 to 810. We see that 9 \times 90 = 810 is the nearest. Now subtract 810 from 810 to get reminder 0. Add 9 to quotient.
\text{Quotient: }369 \text{Reminder: }0
Since 0 is less than 90, stop the division. The reminder is 0. The topmost line 00369 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 369.
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}