Evaluate
6
Factor
2\times 3
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\begin{array}{l}\phantom{44)}\phantom{1}\\44\overline{)264}\\\end{array}
Use the 1^{st} digit 2 from dividend 264
\begin{array}{l}\phantom{44)}0\phantom{2}\\44\overline{)264}\\\end{array}
Since 2 is less than 44, use the next digit 6 from dividend 264 and add 0 to the quotient
\begin{array}{l}\phantom{44)}0\phantom{3}\\44\overline{)264}\\\end{array}
Use the 2^{nd} digit 6 from dividend 264
\begin{array}{l}\phantom{44)}00\phantom{4}\\44\overline{)264}\\\end{array}
Since 26 is less than 44, use the next digit 4 from dividend 264 and add 0 to the quotient
\begin{array}{l}\phantom{44)}00\phantom{5}\\44\overline{)264}\\\end{array}
Use the 3^{rd} digit 4 from dividend 264
\begin{array}{l}\phantom{44)}006\phantom{6}\\44\overline{)264}\\\phantom{44)}\underline{\phantom{}264\phantom{}}\\\phantom{44)999}0\\\end{array}
Find closest multiple of 44 to 264. We see that 6 \times 44 = 264 is the nearest. Now subtract 264 from 264 to get reminder 0. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }0
Since 0 is less than 44, 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}