Evaluate
\frac{4000}{73}\approx 54.794520548
Factor
\frac{2 ^ {5} \cdot 5 ^ {3}}{73} = 54\frac{58}{73} = 54.794520547945204
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\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)20000}\\\end{array}
Use the 1^{st} digit 2 from dividend 20000
\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)20000}\\\end{array}
Since 2 is less than 365, use the next digit 0 from dividend 20000 and add 0 to the quotient
\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)20000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 20000
\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)20000}\\\end{array}
Since 20 is less than 365, use the next digit 0 from dividend 20000 and add 0 to the quotient
\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)20000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 20000
\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)20000}\\\end{array}
Since 200 is less than 365, use the next digit 0 from dividend 20000 and add 0 to the quotient
\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)20000}\\\end{array}
Use the 4^{th} digit 0 from dividend 20000
\begin{array}{l}\phantom{365)}0005\phantom{8}\\365\overline{)20000}\\\phantom{365)}\underline{\phantom{}1825\phantom{9}}\\\phantom{365)9}175\\\end{array}
Find closest multiple of 365 to 2000. We see that 5 \times 365 = 1825 is the nearest. Now subtract 1825 from 2000 to get reminder 175. Add 5 to quotient.
\begin{array}{l}\phantom{365)}0005\phantom{9}\\365\overline{)20000}\\\phantom{365)}\underline{\phantom{}1825\phantom{9}}\\\phantom{365)9}1750\\\end{array}
Use the 5^{th} digit 0 from dividend 20000
\begin{array}{l}\phantom{365)}00054\phantom{10}\\365\overline{)20000}\\\phantom{365)}\underline{\phantom{}1825\phantom{9}}\\\phantom{365)9}1750\\\phantom{365)}\underline{\phantom{9}1460\phantom{}}\\\phantom{365)99}290\\\end{array}
Find closest multiple of 365 to 1750. We see that 4 \times 365 = 1460 is the nearest. Now subtract 1460 from 1750 to get reminder 290. Add 4 to quotient.
\text{Quotient: }54 \text{Reminder: }290
Since 290 is less than 365, stop the division. The reminder is 290. The topmost line 00054 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 54.
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}