Evaluate
\frac{20}{17}\approx 1.176470588
Factor
\frac{2 ^ {2} \cdot 5}{17} = 1\frac{3}{17} = 1.1764705882352942
Share
Copied to clipboard
\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)40}\\\end{array}
Use the 1^{st} digit 4 from dividend 40
\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)40}\\\end{array}
Since 4 is less than 34, use the next digit 0 from dividend 40 and add 0 to the quotient
\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)40}\\\end{array}
Use the 2^{nd} digit 0 from dividend 40
\begin{array}{l}\phantom{34)}01\phantom{4}\\34\overline{)40}\\\phantom{34)}\underline{\phantom{}34\phantom{}}\\\phantom{34)9}6\\\end{array}
Find closest multiple of 34 to 40. We see that 1 \times 34 = 34 is the nearest. Now subtract 34 from 40 to get reminder 6. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }6
Since 6 is less than 34, stop the division. The reminder is 6. 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}