Evaluate
\frac{18}{13}\approx 1.384615385
Factor
\frac{2 \cdot 3 ^ {2}}{13} = 1\frac{5}{13} = 1.3846153846153846
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\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)36}\\\end{array}
Use the 1^{st} digit 3 from dividend 36
\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)36}\\\end{array}
Since 3 is less than 26, use the next digit 6 from dividend 36 and add 0 to the quotient
\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)36}\\\end{array}
Use the 2^{nd} digit 6 from dividend 36
\begin{array}{l}\phantom{26)}01\phantom{4}\\26\overline{)36}\\\phantom{26)}\underline{\phantom{}26\phantom{}}\\\phantom{26)}10\\\end{array}
Find closest multiple of 26 to 36. We see that 1 \times 26 = 26 is the nearest. Now subtract 26 from 36 to get reminder 10. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }10
Since 10 is less than 26, stop the division. The reminder is 10. The topmost line 01 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}