Evaluate
\frac{540}{73}\approx 7.397260274
Factor
\frac{2 ^ {2} \cdot 3 ^ {3} \cdot 5}{73} = 7\frac{29}{73} = 7.397260273972603
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\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)2700}\\\end{array}
Use the 1^{st} digit 2 from dividend 2700
\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)2700}\\\end{array}
Since 2 is less than 365, use the next digit 7 from dividend 2700 and add 0 to the quotient
\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)2700}\\\end{array}
Use the 2^{nd} digit 7 from dividend 2700
\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)2700}\\\end{array}
Since 27 is less than 365, use the next digit 0 from dividend 2700 and add 0 to the quotient
\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)2700}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2700
\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)2700}\\\end{array}
Since 270 is less than 365, use the next digit 0 from dividend 2700 and add 0 to the quotient
\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)2700}\\\end{array}
Use the 4^{th} digit 0 from dividend 2700
\begin{array}{l}\phantom{365)}0007\phantom{8}\\365\overline{)2700}\\\phantom{365)}\underline{\phantom{}2555\phantom{}}\\\phantom{365)9}145\\\end{array}
Find closest multiple of 365 to 2700. We see that 7 \times 365 = 2555 is the nearest. Now subtract 2555 from 2700 to get reminder 145. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }145
Since 145 is less than 365, stop the division. The reminder is 145. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}