Evaluate
9
Factor
3^{2}
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)216}\\\end{array}
Use the 1^{st} digit 2 from dividend 216
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)216}\\\end{array}
Since 2 is less than 24, use the next digit 1 from dividend 216 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)216}\\\end{array}
Use the 2^{nd} digit 1 from dividend 216
\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)216}\\\end{array}
Since 21 is less than 24, use the next digit 6 from dividend 216 and add 0 to the quotient
\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)216}\\\end{array}
Use the 3^{rd} digit 6 from dividend 216
\begin{array}{l}\phantom{24)}009\phantom{6}\\24\overline{)216}\\\phantom{24)}\underline{\phantom{}216\phantom{}}\\\phantom{24)999}0\\\end{array}
Find closest multiple of 24 to 216. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 216 to get reminder 0. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }0
Since 0 is less than 24, 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}