Evaluate
\frac{83}{10}=8.3
Factor
\frac{83}{2 \cdot 5} = 8\frac{3}{10} = 8.3
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\begin{array}{l}\phantom{6000)}\phantom{1}\\6000\overline{)49800}\\\end{array}
Use the 1^{st} digit 4 from dividend 49800
\begin{array}{l}\phantom{6000)}0\phantom{2}\\6000\overline{)49800}\\\end{array}
Since 4 is less than 6000, use the next digit 9 from dividend 49800 and add 0 to the quotient
\begin{array}{l}\phantom{6000)}0\phantom{3}\\6000\overline{)49800}\\\end{array}
Use the 2^{nd} digit 9 from dividend 49800
\begin{array}{l}\phantom{6000)}00\phantom{4}\\6000\overline{)49800}\\\end{array}
Since 49 is less than 6000, use the next digit 8 from dividend 49800 and add 0 to the quotient
\begin{array}{l}\phantom{6000)}00\phantom{5}\\6000\overline{)49800}\\\end{array}
Use the 3^{rd} digit 8 from dividend 49800
\begin{array}{l}\phantom{6000)}000\phantom{6}\\6000\overline{)49800}\\\end{array}
Since 498 is less than 6000, use the next digit 0 from dividend 49800 and add 0 to the quotient
\begin{array}{l}\phantom{6000)}000\phantom{7}\\6000\overline{)49800}\\\end{array}
Use the 4^{th} digit 0 from dividend 49800
\begin{array}{l}\phantom{6000)}0000\phantom{8}\\6000\overline{)49800}\\\end{array}
Since 4980 is less than 6000, use the next digit 0 from dividend 49800 and add 0 to the quotient
\begin{array}{l}\phantom{6000)}0000\phantom{9}\\6000\overline{)49800}\\\end{array}
Use the 5^{th} digit 0 from dividend 49800
\begin{array}{l}\phantom{6000)}00008\phantom{10}\\6000\overline{)49800}\\\phantom{6000)}\underline{\phantom{}48000\phantom{}}\\\phantom{6000)9}1800\\\end{array}
Find closest multiple of 6000 to 49800. We see that 8 \times 6000 = 48000 is the nearest. Now subtract 48000 from 49800 to get reminder 1800. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }1800
Since 1800 is less than 6000, stop the division. The reminder is 1800. The topmost line 00008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}