Evaluate
15
Factor
3\times 5
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\begin{array}{l}\phantom{26400)}\phantom{1}\\26400\overline{)396000}\\\end{array}
Use the 1^{st} digit 3 from dividend 396000
\begin{array}{l}\phantom{26400)}0\phantom{2}\\26400\overline{)396000}\\\end{array}
Since 3 is less than 26400, use the next digit 9 from dividend 396000 and add 0 to the quotient
\begin{array}{l}\phantom{26400)}0\phantom{3}\\26400\overline{)396000}\\\end{array}
Use the 2^{nd} digit 9 from dividend 396000
\begin{array}{l}\phantom{26400)}00\phantom{4}\\26400\overline{)396000}\\\end{array}
Since 39 is less than 26400, use the next digit 6 from dividend 396000 and add 0 to the quotient
\begin{array}{l}\phantom{26400)}00\phantom{5}\\26400\overline{)396000}\\\end{array}
Use the 3^{rd} digit 6 from dividend 396000
\begin{array}{l}\phantom{26400)}000\phantom{6}\\26400\overline{)396000}\\\end{array}
Since 396 is less than 26400, use the next digit 0 from dividend 396000 and add 0 to the quotient
\begin{array}{l}\phantom{26400)}000\phantom{7}\\26400\overline{)396000}\\\end{array}
Use the 4^{th} digit 0 from dividend 396000
\begin{array}{l}\phantom{26400)}0000\phantom{8}\\26400\overline{)396000}\\\end{array}
Since 3960 is less than 26400, use the next digit 0 from dividend 396000 and add 0 to the quotient
\begin{array}{l}\phantom{26400)}0000\phantom{9}\\26400\overline{)396000}\\\end{array}
Use the 5^{th} digit 0 from dividend 396000
\begin{array}{l}\phantom{26400)}00001\phantom{10}\\26400\overline{)396000}\\\phantom{26400)}\underline{\phantom{}26400\phantom{9}}\\\phantom{26400)}13200\\\end{array}
Find closest multiple of 26400 to 39600. We see that 1 \times 26400 = 26400 is the nearest. Now subtract 26400 from 39600 to get reminder 13200. Add 1 to quotient.
\begin{array}{l}\phantom{26400)}00001\phantom{11}\\26400\overline{)396000}\\\phantom{26400)}\underline{\phantom{}26400\phantom{9}}\\\phantom{26400)}132000\\\end{array}
Use the 6^{th} digit 0 from dividend 396000
\begin{array}{l}\phantom{26400)}000015\phantom{12}\\26400\overline{)396000}\\\phantom{26400)}\underline{\phantom{}26400\phantom{9}}\\\phantom{26400)}132000\\\phantom{26400)}\underline{\phantom{}132000\phantom{}}\\\phantom{26400)999999}0\\\end{array}
Find closest multiple of 26400 to 132000. We see that 5 \times 26400 = 132000 is the nearest. Now subtract 132000 from 132000 to get reminder 0. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }0
Since 0 is less than 26400, stop the division. The reminder is 0. The topmost line 000015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.
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}