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{100)}\phantom{1}\\100\overline{)160}\\\end{array}
Use the 1^{st} digit 1 from dividend 160
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)160}\\\end{array}
Since 1 is less than 100, use the next digit 6 from dividend 160 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)160}\\\end{array}
Use the 2^{nd} digit 6 from dividend 160
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)160}\\\end{array}
Since 16 is less than 100, use the next digit 0 from dividend 160 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)160}\\\end{array}
Use the 3^{rd} digit 0 from dividend 160
\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)160}\\\phantom{100)}\underline{\phantom{}100\phantom{}}\\\phantom{100)9}60\\\end{array}
Find closest multiple of 100 to 160. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 160 to get reminder 60. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }60
Since 60 is less than 100, stop the division. The reminder is 60. 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}