Evaluate
6
Factor
2\times 3
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\begin{array}{l}\phantom{120)}\phantom{1}\\120\overline{)720}\\\end{array}
Use the 1^{st} digit 7 from dividend 720
\begin{array}{l}\phantom{120)}0\phantom{2}\\120\overline{)720}\\\end{array}
Since 7 is less than 120, use the next digit 2 from dividend 720 and add 0 to the quotient
\begin{array}{l}\phantom{120)}0\phantom{3}\\120\overline{)720}\\\end{array}
Use the 2^{nd} digit 2 from dividend 720
\begin{array}{l}\phantom{120)}00\phantom{4}\\120\overline{)720}\\\end{array}
Since 72 is less than 120, use the next digit 0 from dividend 720 and add 0 to the quotient
\begin{array}{l}\phantom{120)}00\phantom{5}\\120\overline{)720}\\\end{array}
Use the 3^{rd} digit 0 from dividend 720
\begin{array}{l}\phantom{120)}006\phantom{6}\\120\overline{)720}\\\phantom{120)}\underline{\phantom{}720\phantom{}}\\\phantom{120)999}0\\\end{array}
Find closest multiple of 120 to 720. We see that 6 \times 120 = 720 is the nearest. Now subtract 720 from 720 to get reminder 0. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }0
Since 0 is less than 120, stop the division. The reminder is 0. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}