Evaluate
\frac{12}{5}=2.4
Factor
\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4
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\begin{array}{l}\phantom{150000)}\phantom{1}\\150000\overline{)360000}\\\end{array}
Use the 1^{st} digit 3 from dividend 360000
\begin{array}{l}\phantom{150000)}0\phantom{2}\\150000\overline{)360000}\\\end{array}
Since 3 is less than 150000, use the next digit 6 from dividend 360000 and add 0 to the quotient
\begin{array}{l}\phantom{150000)}0\phantom{3}\\150000\overline{)360000}\\\end{array}
Use the 2^{nd} digit 6 from dividend 360000
\begin{array}{l}\phantom{150000)}00\phantom{4}\\150000\overline{)360000}\\\end{array}
Since 36 is less than 150000, use the next digit 0 from dividend 360000 and add 0 to the quotient
\begin{array}{l}\phantom{150000)}00\phantom{5}\\150000\overline{)360000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 360000
\begin{array}{l}\phantom{150000)}000\phantom{6}\\150000\overline{)360000}\\\end{array}
Since 360 is less than 150000, use the next digit 0 from dividend 360000 and add 0 to the quotient
\begin{array}{l}\phantom{150000)}000\phantom{7}\\150000\overline{)360000}\\\end{array}
Use the 4^{th} digit 0 from dividend 360000
\begin{array}{l}\phantom{150000)}0000\phantom{8}\\150000\overline{)360000}\\\end{array}
Since 3600 is less than 150000, use the next digit 0 from dividend 360000 and add 0 to the quotient
\begin{array}{l}\phantom{150000)}0000\phantom{9}\\150000\overline{)360000}\\\end{array}
Use the 5^{th} digit 0 from dividend 360000
\begin{array}{l}\phantom{150000)}00000\phantom{10}\\150000\overline{)360000}\\\end{array}
Since 36000 is less than 150000, use the next digit 0 from dividend 360000 and add 0 to the quotient
\begin{array}{l}\phantom{150000)}00000\phantom{11}\\150000\overline{)360000}\\\end{array}
Use the 6^{th} digit 0 from dividend 360000
\begin{array}{l}\phantom{150000)}000002\phantom{12}\\150000\overline{)360000}\\\phantom{150000)}\underline{\phantom{}300000\phantom{}}\\\phantom{150000)9}60000\\\end{array}
Find closest multiple of 150000 to 360000. We see that 2 \times 150000 = 300000 is the nearest. Now subtract 300000 from 360000 to get reminder 60000. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }60000
Since 60000 is less than 150000, stop the division. The reminder is 60000. The topmost line 000002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}