Evaluate
6
Factor
2\times 3
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\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)240}\\\end{array}
Use the 1^{st} digit 2 from dividend 240
\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)240}\\\end{array}
Since 2 is less than 40, use the next digit 4 from dividend 240 and add 0 to the quotient
\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)240}\\\end{array}
Use the 2^{nd} digit 4 from dividend 240
\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)240}\\\end{array}
Since 24 is less than 40, use the next digit 0 from dividend 240 and add 0 to the quotient
\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)240}\\\end{array}
Use the 3^{rd} digit 0 from dividend 240
\begin{array}{l}\phantom{40)}006\phantom{6}\\40\overline{)240}\\\phantom{40)}\underline{\phantom{}240\phantom{}}\\\phantom{40)999}0\\\end{array}
Find closest multiple of 40 to 240. We see that 6 \times 40 = 240 is the nearest. Now subtract 240 from 240 to get reminder 0. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }0
Since 0 is less than 40, 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}