Evaluate
32
Factor
2^{5}
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\begin{array}{l}\phantom{315)}\phantom{1}\\315\overline{)10080}\\\end{array}
Use the 1^{st} digit 1 from dividend 10080
\begin{array}{l}\phantom{315)}0\phantom{2}\\315\overline{)10080}\\\end{array}
Since 1 is less than 315, use the next digit 0 from dividend 10080 and add 0 to the quotient
\begin{array}{l}\phantom{315)}0\phantom{3}\\315\overline{)10080}\\\end{array}
Use the 2^{nd} digit 0 from dividend 10080
\begin{array}{l}\phantom{315)}00\phantom{4}\\315\overline{)10080}\\\end{array}
Since 10 is less than 315, use the next digit 0 from dividend 10080 and add 0 to the quotient
\begin{array}{l}\phantom{315)}00\phantom{5}\\315\overline{)10080}\\\end{array}
Use the 3^{rd} digit 0 from dividend 10080
\begin{array}{l}\phantom{315)}000\phantom{6}\\315\overline{)10080}\\\end{array}
Since 100 is less than 315, use the next digit 8 from dividend 10080 and add 0 to the quotient
\begin{array}{l}\phantom{315)}000\phantom{7}\\315\overline{)10080}\\\end{array}
Use the 4^{th} digit 8 from dividend 10080
\begin{array}{l}\phantom{315)}0003\phantom{8}\\315\overline{)10080}\\\phantom{315)}\underline{\phantom{9}945\phantom{9}}\\\phantom{315)99}63\\\end{array}
Find closest multiple of 315 to 1008. We see that 3 \times 315 = 945 is the nearest. Now subtract 945 from 1008 to get reminder 63. Add 3 to quotient.
\begin{array}{l}\phantom{315)}0003\phantom{9}\\315\overline{)10080}\\\phantom{315)}\underline{\phantom{9}945\phantom{9}}\\\phantom{315)99}630\\\end{array}
Use the 5^{th} digit 0 from dividend 10080
\begin{array}{l}\phantom{315)}00032\phantom{10}\\315\overline{)10080}\\\phantom{315)}\underline{\phantom{9}945\phantom{9}}\\\phantom{315)99}630\\\phantom{315)}\underline{\phantom{99}630\phantom{}}\\\phantom{315)99999}0\\\end{array}
Find closest multiple of 315 to 630. We see that 2 \times 315 = 630 is the nearest. Now subtract 630 from 630 to get reminder 0. Add 2 to quotient.
\text{Quotient: }32 \text{Reminder: }0
Since 0 is less than 315, stop the division. The reminder is 0. The topmost line 00032 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 32.
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}