Evaluate
\frac{33}{17}\approx 1.941176471
Factor
\frac{3 \cdot 11}{17} = 1\frac{16}{17} = 1.9411764705882353
Share
Copied to clipboard
\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)33}\\\end{array}
Use the 1^{st} digit 3 from dividend 33
\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)33}\\\end{array}
Since 3 is less than 17, use the next digit 3 from dividend 33 and add 0 to the quotient
\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)33}\\\end{array}
Use the 2^{nd} digit 3 from dividend 33
\begin{array}{l}\phantom{17)}01\phantom{4}\\17\overline{)33}\\\phantom{17)}\underline{\phantom{}17\phantom{}}\\\phantom{17)}16\\\end{array}
Find closest multiple of 17 to 33. We see that 1 \times 17 = 17 is the nearest. Now subtract 17 from 33 to get reminder 16. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }16
Since 16 is less than 17, stop the division. The reminder is 16. 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}