Evaluate
\frac{15}{2}=7.5
Factor
\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5
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\begin{array}{l}\phantom{2400)}\phantom{1}\\2400\overline{)18000}\\\end{array}
Use the 1^{st} digit 1 from dividend 18000
\begin{array}{l}\phantom{2400)}0\phantom{2}\\2400\overline{)18000}\\\end{array}
Since 1 is less than 2400, use the next digit 8 from dividend 18000 and add 0 to the quotient
\begin{array}{l}\phantom{2400)}0\phantom{3}\\2400\overline{)18000}\\\end{array}
Use the 2^{nd} digit 8 from dividend 18000
\begin{array}{l}\phantom{2400)}00\phantom{4}\\2400\overline{)18000}\\\end{array}
Since 18 is less than 2400, use the next digit 0 from dividend 18000 and add 0 to the quotient
\begin{array}{l}\phantom{2400)}00\phantom{5}\\2400\overline{)18000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 18000
\begin{array}{l}\phantom{2400)}000\phantom{6}\\2400\overline{)18000}\\\end{array}
Since 180 is less than 2400, use the next digit 0 from dividend 18000 and add 0 to the quotient
\begin{array}{l}\phantom{2400)}000\phantom{7}\\2400\overline{)18000}\\\end{array}
Use the 4^{th} digit 0 from dividend 18000
\begin{array}{l}\phantom{2400)}0000\phantom{8}\\2400\overline{)18000}\\\end{array}
Since 1800 is less than 2400, use the next digit 0 from dividend 18000 and add 0 to the quotient
\begin{array}{l}\phantom{2400)}0000\phantom{9}\\2400\overline{)18000}\\\end{array}
Use the 5^{th} digit 0 from dividend 18000
\begin{array}{l}\phantom{2400)}00007\phantom{10}\\2400\overline{)18000}\\\phantom{2400)}\underline{\phantom{}16800\phantom{}}\\\phantom{2400)9}1200\\\end{array}
Find closest multiple of 2400 to 18000. We see that 7 \times 2400 = 16800 is the nearest. Now subtract 16800 from 18000 to get reminder 1200. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }1200
Since 1200 is less than 2400, stop the division. The reminder is 1200. The topmost line 00007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}