Evaluate
\frac{432}{365}\approx 1.183561644
Factor
\frac{2 ^ {4} \cdot 3 ^ {3}}{5 \cdot 73} = 1\frac{67}{365} = 1.1835616438356165
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\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)432}\\\end{array}
Use the 1^{st} digit 4 from dividend 432
\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)432}\\\end{array}
Since 4 is less than 365, use the next digit 3 from dividend 432 and add 0 to the quotient
\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)432}\\\end{array}
Use the 2^{nd} digit 3 from dividend 432
\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)432}\\\end{array}
Since 43 is less than 365, use the next digit 2 from dividend 432 and add 0 to the quotient
\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)432}\\\end{array}
Use the 3^{rd} digit 2 from dividend 432
\begin{array}{l}\phantom{365)}001\phantom{6}\\365\overline{)432}\\\phantom{365)}\underline{\phantom{}365\phantom{}}\\\phantom{365)9}67\\\end{array}
Find closest multiple of 365 to 432. We see that 1 \times 365 = 365 is the nearest. Now subtract 365 from 432 to get reminder 67. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }67
Since 67 is less than 365, stop the division. The reminder is 67. The topmost line 001 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}