Evaluate
9
Factor
3^{2}
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\begin{array}{l}\phantom{41)}\phantom{1}\\41\overline{)369}\\\end{array}
Use the 1^{st} digit 3 from dividend 369
\begin{array}{l}\phantom{41)}0\phantom{2}\\41\overline{)369}\\\end{array}
Since 3 is less than 41, use the next digit 6 from dividend 369 and add 0 to the quotient
\begin{array}{l}\phantom{41)}0\phantom{3}\\41\overline{)369}\\\end{array}
Use the 2^{nd} digit 6 from dividend 369
\begin{array}{l}\phantom{41)}00\phantom{4}\\41\overline{)369}\\\end{array}
Since 36 is less than 41, use the next digit 9 from dividend 369 and add 0 to the quotient
\begin{array}{l}\phantom{41)}00\phantom{5}\\41\overline{)369}\\\end{array}
Use the 3^{rd} digit 9 from dividend 369
\begin{array}{l}\phantom{41)}009\phantom{6}\\41\overline{)369}\\\phantom{41)}\underline{\phantom{}369\phantom{}}\\\phantom{41)999}0\\\end{array}
Find closest multiple of 41 to 369. We see that 9 \times 41 = 369 is the nearest. Now subtract 369 from 369 to get reminder 0. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }0
Since 0 is less than 41, stop the division. The reminder is 0. The topmost line 009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}