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{65)}\phantom{1}\\65\overline{)104}\\\end{array}
Use the 1^{st} digit 1 from dividend 104
\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)104}\\\end{array}
Since 1 is less than 65, use the next digit 0 from dividend 104 and add 0 to the quotient
\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)104}\\\end{array}
Use the 2^{nd} digit 0 from dividend 104
\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)104}\\\end{array}
Since 10 is less than 65, use the next digit 4 from dividend 104 and add 0 to the quotient
\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)104}\\\end{array}
Use the 3^{rd} digit 4 from dividend 104
\begin{array}{l}\phantom{65)}001\phantom{6}\\65\overline{)104}\\\phantom{65)}\underline{\phantom{9}65\phantom{}}\\\phantom{65)9}39\\\end{array}
Find closest multiple of 65 to 104. We see that 1 \times 65 = 65 is the nearest. Now subtract 65 from 104 to get reminder 39. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }39
Since 39 is less than 65, stop the division. The reminder is 39. 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}