Evaluate
56
Factor
2^{3}\times 7
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\begin{array}{l}\phantom{720)}\phantom{1}\\720\overline{)40320}\\\end{array}
Use the 1^{st} digit 4 from dividend 40320
\begin{array}{l}\phantom{720)}0\phantom{2}\\720\overline{)40320}\\\end{array}
Since 4 is less than 720, use the next digit 0 from dividend 40320 and add 0 to the quotient
\begin{array}{l}\phantom{720)}0\phantom{3}\\720\overline{)40320}\\\end{array}
Use the 2^{nd} digit 0 from dividend 40320
\begin{array}{l}\phantom{720)}00\phantom{4}\\720\overline{)40320}\\\end{array}
Since 40 is less than 720, use the next digit 3 from dividend 40320 and add 0 to the quotient
\begin{array}{l}\phantom{720)}00\phantom{5}\\720\overline{)40320}\\\end{array}
Use the 3^{rd} digit 3 from dividend 40320
\begin{array}{l}\phantom{720)}000\phantom{6}\\720\overline{)40320}\\\end{array}
Since 403 is less than 720, use the next digit 2 from dividend 40320 and add 0 to the quotient
\begin{array}{l}\phantom{720)}000\phantom{7}\\720\overline{)40320}\\\end{array}
Use the 4^{th} digit 2 from dividend 40320
\begin{array}{l}\phantom{720)}0005\phantom{8}\\720\overline{)40320}\\\phantom{720)}\underline{\phantom{}3600\phantom{9}}\\\phantom{720)9}432\\\end{array}
Find closest multiple of 720 to 4032. We see that 5 \times 720 = 3600 is the nearest. Now subtract 3600 from 4032 to get reminder 432. Add 5 to quotient.
\begin{array}{l}\phantom{720)}0005\phantom{9}\\720\overline{)40320}\\\phantom{720)}\underline{\phantom{}3600\phantom{9}}\\\phantom{720)9}4320\\\end{array}
Use the 5^{th} digit 0 from dividend 40320
\begin{array}{l}\phantom{720)}00056\phantom{10}\\720\overline{)40320}\\\phantom{720)}\underline{\phantom{}3600\phantom{9}}\\\phantom{720)9}4320\\\phantom{720)}\underline{\phantom{9}4320\phantom{}}\\\phantom{720)99999}0\\\end{array}
Find closest multiple of 720 to 4320. We see that 6 \times 720 = 4320 is the nearest. Now subtract 4320 from 4320 to get reminder 0. Add 6 to quotient.
\text{Quotient: }56 \text{Reminder: }0
Since 0 is less than 720, stop the division. The reminder is 0. The topmost line 00056 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 56.
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}