Evaluate
\frac{2837}{2673}\approx 1.061354284
Factor
\frac{2837}{3 ^ {5} \cdot 11} = 1\frac{164}{2673} = 1.0613542835765057
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\begin{array}{l}\phantom{2673)}\phantom{1}\\2673\overline{)2837}\\\end{array}
Use the 1^{st} digit 2 from dividend 2837
\begin{array}{l}\phantom{2673)}0\phantom{2}\\2673\overline{)2837}\\\end{array}
Since 2 is less than 2673, use the next digit 8 from dividend 2837 and add 0 to the quotient
\begin{array}{l}\phantom{2673)}0\phantom{3}\\2673\overline{)2837}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2837
\begin{array}{l}\phantom{2673)}00\phantom{4}\\2673\overline{)2837}\\\end{array}
Since 28 is less than 2673, use the next digit 3 from dividend 2837 and add 0 to the quotient
\begin{array}{l}\phantom{2673)}00\phantom{5}\\2673\overline{)2837}\\\end{array}
Use the 3^{rd} digit 3 from dividend 2837
\begin{array}{l}\phantom{2673)}000\phantom{6}\\2673\overline{)2837}\\\end{array}
Since 283 is less than 2673, use the next digit 7 from dividend 2837 and add 0 to the quotient
\begin{array}{l}\phantom{2673)}000\phantom{7}\\2673\overline{)2837}\\\end{array}
Use the 4^{th} digit 7 from dividend 2837
\begin{array}{l}\phantom{2673)}0001\phantom{8}\\2673\overline{)2837}\\\phantom{2673)}\underline{\phantom{}2673\phantom{}}\\\phantom{2673)9}164\\\end{array}
Find closest multiple of 2673 to 2837. We see that 1 \times 2673 = 2673 is the nearest. Now subtract 2673 from 2837 to get reminder 164. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }164
Since 164 is less than 2673, stop the division. The reminder is 164. The topmost line 0001 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}