Evaluate
9
Factor
3^{2}
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\begin{array}{l}\phantom{5024)}\phantom{1}\\5024\overline{)45216}\\\end{array}
Use the 1^{st} digit 4 from dividend 45216
\begin{array}{l}\phantom{5024)}0\phantom{2}\\5024\overline{)45216}\\\end{array}
Since 4 is less than 5024, use the next digit 5 from dividend 45216 and add 0 to the quotient
\begin{array}{l}\phantom{5024)}0\phantom{3}\\5024\overline{)45216}\\\end{array}
Use the 2^{nd} digit 5 from dividend 45216
\begin{array}{l}\phantom{5024)}00\phantom{4}\\5024\overline{)45216}\\\end{array}
Since 45 is less than 5024, use the next digit 2 from dividend 45216 and add 0 to the quotient
\begin{array}{l}\phantom{5024)}00\phantom{5}\\5024\overline{)45216}\\\end{array}
Use the 3^{rd} digit 2 from dividend 45216
\begin{array}{l}\phantom{5024)}000\phantom{6}\\5024\overline{)45216}\\\end{array}
Since 452 is less than 5024, use the next digit 1 from dividend 45216 and add 0 to the quotient
\begin{array}{l}\phantom{5024)}000\phantom{7}\\5024\overline{)45216}\\\end{array}
Use the 4^{th} digit 1 from dividend 45216
\begin{array}{l}\phantom{5024)}0000\phantom{8}\\5024\overline{)45216}\\\end{array}
Since 4521 is less than 5024, use the next digit 6 from dividend 45216 and add 0 to the quotient
\begin{array}{l}\phantom{5024)}0000\phantom{9}\\5024\overline{)45216}\\\end{array}
Use the 5^{th} digit 6 from dividend 45216
\begin{array}{l}\phantom{5024)}00009\phantom{10}\\5024\overline{)45216}\\\phantom{5024)}\underline{\phantom{}45216\phantom{}}\\\phantom{5024)99999}0\\\end{array}
Find closest multiple of 5024 to 45216. We see that 9 \times 5024 = 45216 is the nearest. Now subtract 45216 from 45216 to get reminder 0. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }0
Since 0 is less than 5024, stop the division. The reminder is 0. The topmost line 00009 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}