Evaluate
\frac{135}{73}\approx 1.849315068
Factor
\frac{3 ^ {3} \cdot 5}{73} = 1\frac{62}{73} = 1.8493150684931507
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\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)675}\\\end{array}
Use the 1^{st} digit 6 from dividend 675
\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)675}\\\end{array}
Since 6 is less than 365, use the next digit 7 from dividend 675 and add 0 to the quotient
\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)675}\\\end{array}
Use the 2^{nd} digit 7 from dividend 675
\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)675}\\\end{array}
Since 67 is less than 365, use the next digit 5 from dividend 675 and add 0 to the quotient
\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)675}\\\end{array}
Use the 3^{rd} digit 5 from dividend 675
\begin{array}{l}\phantom{365)}001\phantom{6}\\365\overline{)675}\\\phantom{365)}\underline{\phantom{}365\phantom{}}\\\phantom{365)}310\\\end{array}
Find closest multiple of 365 to 675. We see that 1 \times 365 = 365 is the nearest. Now subtract 365 from 675 to get reminder 310. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }310
Since 310 is less than 365, stop the division. The reminder is 310. 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}