Evaluate
\frac{17}{10}=1.7
Factor
\frac{17}{2 \cdot 5} = 1\frac{7}{10} = 1.7
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)34}\\\end{array}
Use the 1^{st} digit 3 from dividend 34
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)34}\\\end{array}
Since 3 is less than 20, use the next digit 4 from dividend 34 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)34}\\\end{array}
Use the 2^{nd} digit 4 from dividend 34
\begin{array}{l}\phantom{20)}01\phantom{4}\\20\overline{)34}\\\phantom{20)}\underline{\phantom{}20\phantom{}}\\\phantom{20)}14\\\end{array}
Find closest multiple of 20 to 34. We see that 1 \times 20 = 20 is the nearest. Now subtract 20 from 34 to get reminder 14. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }14
Since 14 is less than 20, stop the division. The reminder is 14. 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}