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{20000)}\phantom{1}\\20000\overline{)32000}\\\end{array}
Use the 1^{st} digit 3 from dividend 32000
\begin{array}{l}\phantom{20000)}0\phantom{2}\\20000\overline{)32000}\\\end{array}
Since 3 is less than 20000, use the next digit 2 from dividend 32000 and add 0 to the quotient
\begin{array}{l}\phantom{20000)}0\phantom{3}\\20000\overline{)32000}\\\end{array}
Use the 2^{nd} digit 2 from dividend 32000
\begin{array}{l}\phantom{20000)}00\phantom{4}\\20000\overline{)32000}\\\end{array}
Since 32 is less than 20000, use the next digit 0 from dividend 32000 and add 0 to the quotient
\begin{array}{l}\phantom{20000)}00\phantom{5}\\20000\overline{)32000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 32000
\begin{array}{l}\phantom{20000)}000\phantom{6}\\20000\overline{)32000}\\\end{array}
Since 320 is less than 20000, use the next digit 0 from dividend 32000 and add 0 to the quotient
\begin{array}{l}\phantom{20000)}000\phantom{7}\\20000\overline{)32000}\\\end{array}
Use the 4^{th} digit 0 from dividend 32000
\begin{array}{l}\phantom{20000)}0000\phantom{8}\\20000\overline{)32000}\\\end{array}
Since 3200 is less than 20000, use the next digit 0 from dividend 32000 and add 0 to the quotient
\begin{array}{l}\phantom{20000)}0000\phantom{9}\\20000\overline{)32000}\\\end{array}
Use the 5^{th} digit 0 from dividend 32000
\begin{array}{l}\phantom{20000)}00001\phantom{10}\\20000\overline{)32000}\\\phantom{20000)}\underline{\phantom{}20000\phantom{}}\\\phantom{20000)}12000\\\end{array}
Find closest multiple of 20000 to 32000. We see that 1 \times 20000 = 20000 is the nearest. Now subtract 20000 from 32000 to get reminder 12000. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }12000
Since 12000 is less than 20000, stop the division. The reminder is 12000. The topmost line 00001 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}