Evaluate
\frac{6}{5}=1.2
Factor
\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2
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\begin{array}{l}\phantom{120000)}\phantom{1}\\120000\overline{)144000}\\\end{array}
Use the 1^{st} digit 1 from dividend 144000
\begin{array}{l}\phantom{120000)}0\phantom{2}\\120000\overline{)144000}\\\end{array}
Since 1 is less than 120000, use the next digit 4 from dividend 144000 and add 0 to the quotient
\begin{array}{l}\phantom{120000)}0\phantom{3}\\120000\overline{)144000}\\\end{array}
Use the 2^{nd} digit 4 from dividend 144000
\begin{array}{l}\phantom{120000)}00\phantom{4}\\120000\overline{)144000}\\\end{array}
Since 14 is less than 120000, use the next digit 4 from dividend 144000 and add 0 to the quotient
\begin{array}{l}\phantom{120000)}00\phantom{5}\\120000\overline{)144000}\\\end{array}
Use the 3^{rd} digit 4 from dividend 144000
\begin{array}{l}\phantom{120000)}000\phantom{6}\\120000\overline{)144000}\\\end{array}
Since 144 is less than 120000, use the next digit 0 from dividend 144000 and add 0 to the quotient
\begin{array}{l}\phantom{120000)}000\phantom{7}\\120000\overline{)144000}\\\end{array}
Use the 4^{th} digit 0 from dividend 144000
\begin{array}{l}\phantom{120000)}0000\phantom{8}\\120000\overline{)144000}\\\end{array}
Since 1440 is less than 120000, use the next digit 0 from dividend 144000 and add 0 to the quotient
\begin{array}{l}\phantom{120000)}0000\phantom{9}\\120000\overline{)144000}\\\end{array}
Use the 5^{th} digit 0 from dividend 144000
\begin{array}{l}\phantom{120000)}00000\phantom{10}\\120000\overline{)144000}\\\end{array}
Since 14400 is less than 120000, use the next digit 0 from dividend 144000 and add 0 to the quotient
\begin{array}{l}\phantom{120000)}00000\phantom{11}\\120000\overline{)144000}\\\end{array}
Use the 6^{th} digit 0 from dividend 144000
\begin{array}{l}\phantom{120000)}000001\phantom{12}\\120000\overline{)144000}\\\phantom{120000)}\underline{\phantom{}120000\phantom{}}\\\phantom{120000)9}24000\\\end{array}
Find closest multiple of 120000 to 144000. We see that 1 \times 120000 = 120000 is the nearest. Now subtract 120000 from 144000 to get reminder 24000. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }24000
Since 24000 is less than 120000, stop the division. The reminder is 24000. The topmost line 000001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}