Evaluate
\frac{293}{273}\approx 1.073260073
Factor
\frac{293}{3 \cdot 7 \cdot 13} = 1\frac{20}{273} = 1.0732600732600732
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\begin{array}{l}\phantom{273)}\phantom{1}\\273\overline{)293}\\\end{array}
Use the 1^{st} digit 2 from dividend 293
\begin{array}{l}\phantom{273)}0\phantom{2}\\273\overline{)293}\\\end{array}
Since 2 is less than 273, use the next digit 9 from dividend 293 and add 0 to the quotient
\begin{array}{l}\phantom{273)}0\phantom{3}\\273\overline{)293}\\\end{array}
Use the 2^{nd} digit 9 from dividend 293
\begin{array}{l}\phantom{273)}00\phantom{4}\\273\overline{)293}\\\end{array}
Since 29 is less than 273, use the next digit 3 from dividend 293 and add 0 to the quotient
\begin{array}{l}\phantom{273)}00\phantom{5}\\273\overline{)293}\\\end{array}
Use the 3^{rd} digit 3 from dividend 293
\begin{array}{l}\phantom{273)}001\phantom{6}\\273\overline{)293}\\\phantom{273)}\underline{\phantom{}273\phantom{}}\\\phantom{273)9}20\\\end{array}
Find closest multiple of 273 to 293. We see that 1 \times 273 = 273 is the nearest. Now subtract 273 from 293 to get reminder 20. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }20
Since 20 is less than 273, stop the division. The reminder is 20. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
Examples
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{ 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}