Evaluate
\frac{27}{17}\approx 1.588235294
Factor
\frac{3 ^ {3}}{17} = 1\frac{10}{17} = 1.588235294117647
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\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)27}\\\end{array}
Use the 1^{st} digit 2 from dividend 27
\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)27}\\\end{array}
Since 2 is less than 17, use the next digit 7 from dividend 27 and add 0 to the quotient
\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)27}\\\end{array}
Use the 2^{nd} digit 7 from dividend 27
\begin{array}{l}\phantom{17)}01\phantom{4}\\17\overline{)27}\\\phantom{17)}\underline{\phantom{}17\phantom{}}\\\phantom{17)}10\\\end{array}
Find closest multiple of 17 to 27. We see that 1 \times 17 = 17 is the nearest. Now subtract 17 from 27 to get reminder 10. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }10
Since 10 is less than 17, 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}