Evaluate
6
Factor
2\times 3
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\begin{array}{l}\phantom{144)}\phantom{1}\\144\overline{)864}\\\end{array}
Use the 1^{st} digit 8 from dividend 864
\begin{array}{l}\phantom{144)}0\phantom{2}\\144\overline{)864}\\\end{array}
Since 8 is less than 144, use the next digit 6 from dividend 864 and add 0 to the quotient
\begin{array}{l}\phantom{144)}0\phantom{3}\\144\overline{)864}\\\end{array}
Use the 2^{nd} digit 6 from dividend 864
\begin{array}{l}\phantom{144)}00\phantom{4}\\144\overline{)864}\\\end{array}
Since 86 is less than 144, use the next digit 4 from dividend 864 and add 0 to the quotient
\begin{array}{l}\phantom{144)}00\phantom{5}\\144\overline{)864}\\\end{array}
Use the 3^{rd} digit 4 from dividend 864
\begin{array}{l}\phantom{144)}006\phantom{6}\\144\overline{)864}\\\phantom{144)}\underline{\phantom{}864\phantom{}}\\\phantom{144)999}0\\\end{array}
Find closest multiple of 144 to 864. We see that 6 \times 144 = 864 is the nearest. Now subtract 864 from 864 to get reminder 0. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }0
Since 0 is less than 144, 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}