Evaluate
\frac{3}{2}=1.5
Factor
\frac{3}{2} = 1\frac{1}{2} = 1.5
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\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)84}\\\end{array}
Use the 1^{st} digit 8 from dividend 84
\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)84}\\\end{array}
Since 8 is less than 56, use the next digit 4 from dividend 84 and add 0 to the quotient
\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)84}\\\end{array}
Use the 2^{nd} digit 4 from dividend 84
\begin{array}{l}\phantom{56)}01\phantom{4}\\56\overline{)84}\\\phantom{56)}\underline{\phantom{}56\phantom{}}\\\phantom{56)}28\\\end{array}
Find closest multiple of 56 to 84. We see that 1 \times 56 = 56 is the nearest. Now subtract 56 from 84 to get reminder 28. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }28
Since 28 is less than 56, stop the division. The reminder is 28. The topmost line 01 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}