Evaluate
3
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\begin{array}{l}\phantom{240)}\phantom{1}\\240\overline{)720}\\\end{array}
Use the 1^{st} digit 7 from dividend 720
\begin{array}{l}\phantom{240)}0\phantom{2}\\240\overline{)720}\\\end{array}
Since 7 is less than 240, use the next digit 2 from dividend 720 and add 0 to the quotient
\begin{array}{l}\phantom{240)}0\phantom{3}\\240\overline{)720}\\\end{array}
Use the 2^{nd} digit 2 from dividend 720
\begin{array}{l}\phantom{240)}00\phantom{4}\\240\overline{)720}\\\end{array}
Since 72 is less than 240, use the next digit 0 from dividend 720 and add 0 to the quotient
\begin{array}{l}\phantom{240)}00\phantom{5}\\240\overline{)720}\\\end{array}
Use the 3^{rd} digit 0 from dividend 720
\begin{array}{l}\phantom{240)}003\phantom{6}\\240\overline{)720}\\\phantom{240)}\underline{\phantom{}720\phantom{}}\\\phantom{240)999}0\\\end{array}
Find closest multiple of 240 to 720. We see that 3 \times 240 = 720 is the nearest. Now subtract 720 from 720 to get reminder 0. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }0
Since 0 is less than 240, stop the division. The reminder is 0. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}