Evaluate
\frac{3}{2}=1.5
Factor
\frac{3}{2} = 1\frac{1}{2} = 1.5
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\begin{array}{l}\phantom{600)}\phantom{1}\\600\overline{)900}\\\end{array}
Use the 1^{st} digit 9 from dividend 900
\begin{array}{l}\phantom{600)}0\phantom{2}\\600\overline{)900}\\\end{array}
Since 9 is less than 600, use the next digit 0 from dividend 900 and add 0 to the quotient
\begin{array}{l}\phantom{600)}0\phantom{3}\\600\overline{)900}\\\end{array}
Use the 2^{nd} digit 0 from dividend 900
\begin{array}{l}\phantom{600)}00\phantom{4}\\600\overline{)900}\\\end{array}
Since 90 is less than 600, use the next digit 0 from dividend 900 and add 0 to the quotient
\begin{array}{l}\phantom{600)}00\phantom{5}\\600\overline{)900}\\\end{array}
Use the 3^{rd} digit 0 from dividend 900
\begin{array}{l}\phantom{600)}001\phantom{6}\\600\overline{)900}\\\phantom{600)}\underline{\phantom{}600\phantom{}}\\\phantom{600)}300\\\end{array}
Find closest multiple of 600 to 900. We see that 1 \times 600 = 600 is the nearest. Now subtract 600 from 900 to get reminder 300. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }300
Since 300 is less than 600, stop the division. The reminder is 300. The topmost line 001 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}