Evaluate
\frac{74200}{73}\approx 1016.438356164
Factor
\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 7 \cdot 53}{73} = 1016\frac{32}{73} = 1016.4383561643835
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\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)371000}\\\end{array}
Use the 1^{st} digit 3 from dividend 371000
\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)371000}\\\end{array}
Since 3 is less than 365, use the next digit 7 from dividend 371000 and add 0 to the quotient
\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)371000}\\\end{array}
Use the 2^{nd} digit 7 from dividend 371000
\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)371000}\\\end{array}
Since 37 is less than 365, use the next digit 1 from dividend 371000 and add 0 to the quotient
\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)371000}\\\end{array}
Use the 3^{rd} digit 1 from dividend 371000
\begin{array}{l}\phantom{365)}001\phantom{6}\\365\overline{)371000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)99}6\\\end{array}
Find closest multiple of 365 to 371. We see that 1 \times 365 = 365 is the nearest. Now subtract 365 from 371 to get reminder 6. Add 1 to quotient.
\begin{array}{l}\phantom{365)}001\phantom{7}\\365\overline{)371000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)99}60\\\end{array}
Use the 4^{th} digit 0 from dividend 371000
\begin{array}{l}\phantom{365)}0010\phantom{8}\\365\overline{)371000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)99}60\\\end{array}
Since 60 is less than 365, use the next digit 0 from dividend 371000 and add 0 to the quotient
\begin{array}{l}\phantom{365)}0010\phantom{9}\\365\overline{)371000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)99}600\\\end{array}
Use the 5^{th} digit 0 from dividend 371000
\begin{array}{l}\phantom{365)}00101\phantom{10}\\365\overline{)371000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)99}600\\\phantom{365)}\underline{\phantom{99}365\phantom{9}}\\\phantom{365)99}235\\\end{array}
Find closest multiple of 365 to 600. We see that 1 \times 365 = 365 is the nearest. Now subtract 365 from 600 to get reminder 235. Add 1 to quotient.
\begin{array}{l}\phantom{365)}00101\phantom{11}\\365\overline{)371000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)99}600\\\phantom{365)}\underline{\phantom{99}365\phantom{9}}\\\phantom{365)99}2350\\\end{array}
Use the 6^{th} digit 0 from dividend 371000
\begin{array}{l}\phantom{365)}001016\phantom{12}\\365\overline{)371000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)99}600\\\phantom{365)}\underline{\phantom{99}365\phantom{9}}\\\phantom{365)99}2350\\\phantom{365)}\underline{\phantom{99}2190\phantom{}}\\\phantom{365)999}160\\\end{array}
Find closest multiple of 365 to 2350. We see that 6 \times 365 = 2190 is the nearest. Now subtract 2190 from 2350 to get reminder 160. Add 6 to quotient.
\text{Quotient: }1016 \text{Reminder: }160
Since 160 is less than 365, stop the division. The reminder is 160. The topmost line 001016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1016.
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}