Evaluate
\frac{33}{17}\approx 1.941176471
Factor
\frac{3 \cdot 11}{17} = 1\frac{16}{17} = 1.9411764705882353
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\begin{array}{l}\phantom{340)}\phantom{1}\\340\overline{)660}\\\end{array}
Use the 1^{st} digit 6 from dividend 660
\begin{array}{l}\phantom{340)}0\phantom{2}\\340\overline{)660}\\\end{array}
Since 6 is less than 340, use the next digit 6 from dividend 660 and add 0 to the quotient
\begin{array}{l}\phantom{340)}0\phantom{3}\\340\overline{)660}\\\end{array}
Use the 2^{nd} digit 6 from dividend 660
\begin{array}{l}\phantom{340)}00\phantom{4}\\340\overline{)660}\\\end{array}
Since 66 is less than 340, use the next digit 0 from dividend 660 and add 0 to the quotient
\begin{array}{l}\phantom{340)}00\phantom{5}\\340\overline{)660}\\\end{array}
Use the 3^{rd} digit 0 from dividend 660
\begin{array}{l}\phantom{340)}001\phantom{6}\\340\overline{)660}\\\phantom{340)}\underline{\phantom{}340\phantom{}}\\\phantom{340)}320\\\end{array}
Find closest multiple of 340 to 660. We see that 1 \times 340 = 340 is the nearest. Now subtract 340 from 660 to get reminder 320. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }320
Since 320 is less than 340, stop the division. The reminder is 320. The topmost line 001 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}