Evaluate
8
Factor
2^{3}
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\begin{array}{l}\phantom{315)}\phantom{1}\\315\overline{)2520}\\\end{array}
Use the 1^{st} digit 2 from dividend 2520
\begin{array}{l}\phantom{315)}0\phantom{2}\\315\overline{)2520}\\\end{array}
Since 2 is less than 315, use the next digit 5 from dividend 2520 and add 0 to the quotient
\begin{array}{l}\phantom{315)}0\phantom{3}\\315\overline{)2520}\\\end{array}
Use the 2^{nd} digit 5 from dividend 2520
\begin{array}{l}\phantom{315)}00\phantom{4}\\315\overline{)2520}\\\end{array}
Since 25 is less than 315, use the next digit 2 from dividend 2520 and add 0 to the quotient
\begin{array}{l}\phantom{315)}00\phantom{5}\\315\overline{)2520}\\\end{array}
Use the 3^{rd} digit 2 from dividend 2520
\begin{array}{l}\phantom{315)}000\phantom{6}\\315\overline{)2520}\\\end{array}
Since 252 is less than 315, use the next digit 0 from dividend 2520 and add 0 to the quotient
\begin{array}{l}\phantom{315)}000\phantom{7}\\315\overline{)2520}\\\end{array}
Use the 4^{th} digit 0 from dividend 2520
\begin{array}{l}\phantom{315)}0008\phantom{8}\\315\overline{)2520}\\\phantom{315)}\underline{\phantom{}2520\phantom{}}\\\phantom{315)9999}0\\\end{array}
Find closest multiple of 315 to 2520. We see that 8 \times 315 = 2520 is the nearest. Now subtract 2520 from 2520 to get reminder 0. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }0
Since 0 is less than 315, stop the division. The reminder is 0. The topmost line 0008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}