Evaluate
\frac{82}{5}=16.4
Factor
\frac{2 \cdot 41}{5} = 16\frac{2}{5} = 16.4
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)820}\\\end{array}
Use the 1^{st} digit 8 from dividend 820
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)820}\\\end{array}
Since 8 is less than 50, use the next digit 2 from dividend 820 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)820}\\\end{array}
Use the 2^{nd} digit 2 from dividend 820
\begin{array}{l}\phantom{50)}01\phantom{4}\\50\overline{)820}\\\phantom{50)}\underline{\phantom{}50\phantom{9}}\\\phantom{50)}32\\\end{array}
Find closest multiple of 50 to 82. We see that 1 \times 50 = 50 is the nearest. Now subtract 50 from 82 to get reminder 32. Add 1 to quotient.
\begin{array}{l}\phantom{50)}01\phantom{5}\\50\overline{)820}\\\phantom{50)}\underline{\phantom{}50\phantom{9}}\\\phantom{50)}320\\\end{array}
Use the 3^{rd} digit 0 from dividend 820
\begin{array}{l}\phantom{50)}016\phantom{6}\\50\overline{)820}\\\phantom{50)}\underline{\phantom{}50\phantom{9}}\\\phantom{50)}320\\\phantom{50)}\underline{\phantom{}300\phantom{}}\\\phantom{50)9}20\\\end{array}
Find closest multiple of 50 to 320. We see that 6 \times 50 = 300 is the nearest. Now subtract 300 from 320 to get reminder 20. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }20
Since 20 is less than 50, stop the division. The reminder is 20. The topmost line 016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
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}