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\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)365}\\\end{array}
Use the 1^{st} digit 3 from dividend 365
\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)365}\\\end{array}
Since 3 is less than 365, use the next digit 6 from dividend 365 and add 0 to the quotient
\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)365}\\\end{array}
Use the 2^{nd} digit 6 from dividend 365
\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)365}\\\end{array}
Since 36 is less than 365, use the next digit 5 from dividend 365 and add 0 to the quotient
\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)365}\\\end{array}
Use the 3^{rd} digit 5 from dividend 365
\begin{array}{l}\phantom{365)}001\phantom{6}\\365\overline{)365}\\\phantom{365)}\underline{\phantom{}365\phantom{}}\\\phantom{365)999}0\\\end{array}
Find closest multiple of 365 to 365. We see that 1 \times 365 = 365 is the nearest. Now subtract 365 from 365 to get reminder 0. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }0
Since 0 is less than 365, stop the division. The reminder is 0. 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}