Evaluate
\frac{3}{2}=1.5
Factor
\frac{3}{2} = 1\frac{1}{2} = 1.5
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\begin{array}{l}\phantom{120000)}\phantom{1}\\120000\overline{)180000}\\\end{array}
Use the 1^{st} digit 1 from dividend 180000
\begin{array}{l}\phantom{120000)}0\phantom{2}\\120000\overline{)180000}\\\end{array}
Since 1 is less than 120000, use the next digit 8 from dividend 180000 and add 0 to the quotient
\begin{array}{l}\phantom{120000)}0\phantom{3}\\120000\overline{)180000}\\\end{array}
Use the 2^{nd} digit 8 from dividend 180000
\begin{array}{l}\phantom{120000)}00\phantom{4}\\120000\overline{)180000}\\\end{array}
Since 18 is less than 120000, use the next digit 0 from dividend 180000 and add 0 to the quotient
\begin{array}{l}\phantom{120000)}00\phantom{5}\\120000\overline{)180000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 180000
\begin{array}{l}\phantom{120000)}000\phantom{6}\\120000\overline{)180000}\\\end{array}
Since 180 is less than 120000, use the next digit 0 from dividend 180000 and add 0 to the quotient
\begin{array}{l}\phantom{120000)}000\phantom{7}\\120000\overline{)180000}\\\end{array}
Use the 4^{th} digit 0 from dividend 180000
\begin{array}{l}\phantom{120000)}0000\phantom{8}\\120000\overline{)180000}\\\end{array}
Since 1800 is less than 120000, use the next digit 0 from dividend 180000 and add 0 to the quotient
\begin{array}{l}\phantom{120000)}0000\phantom{9}\\120000\overline{)180000}\\\end{array}
Use the 5^{th} digit 0 from dividend 180000
\begin{array}{l}\phantom{120000)}00000\phantom{10}\\120000\overline{)180000}\\\end{array}
Since 18000 is less than 120000, use the next digit 0 from dividend 180000 and add 0 to the quotient
\begin{array}{l}\phantom{120000)}00000\phantom{11}\\120000\overline{)180000}\\\end{array}
Use the 6^{th} digit 0 from dividend 180000
\begin{array}{l}\phantom{120000)}000001\phantom{12}\\120000\overline{)180000}\\\phantom{120000)}\underline{\phantom{}120000\phantom{}}\\\phantom{120000)9}60000\\\end{array}
Find closest multiple of 120000 to 180000. We see that 1 \times 120000 = 120000 is the nearest. Now subtract 120000 from 180000 to get reminder 60000. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }60000
Since 60000 is less than 120000, stop the division. The reminder is 60000. 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}