Evaluate
\frac{8}{5}=1.6
Factor
\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6
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\begin{array}{l}\phantom{300)}\phantom{1}\\300\overline{)480}\\\end{array}
Use the 1^{st} digit 4 from dividend 480
\begin{array}{l}\phantom{300)}0\phantom{2}\\300\overline{)480}\\\end{array}
Since 4 is less than 300, use the next digit 8 from dividend 480 and add 0 to the quotient
\begin{array}{l}\phantom{300)}0\phantom{3}\\300\overline{)480}\\\end{array}
Use the 2^{nd} digit 8 from dividend 480
\begin{array}{l}\phantom{300)}00\phantom{4}\\300\overline{)480}\\\end{array}
Since 48 is less than 300, use the next digit 0 from dividend 480 and add 0 to the quotient
\begin{array}{l}\phantom{300)}00\phantom{5}\\300\overline{)480}\\\end{array}
Use the 3^{rd} digit 0 from dividend 480
\begin{array}{l}\phantom{300)}001\phantom{6}\\300\overline{)480}\\\phantom{300)}\underline{\phantom{}300\phantom{}}\\\phantom{300)}180\\\end{array}
Find closest multiple of 300 to 480. We see that 1 \times 300 = 300 is the nearest. Now subtract 300 from 480 to get reminder 180. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }180
Since 180 is less than 300, stop the division. The reminder is 180. 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}