Evaluate
\frac{29}{19}\approx 1.526315789
Factor
\frac{29}{19} = 1\frac{10}{19} = 1.5263157894736843
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\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)29}\\\end{array}
Use the 1^{st} digit 2 from dividend 29
\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)29}\\\end{array}
Since 2 is less than 19, use the next digit 9 from dividend 29 and add 0 to the quotient
\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)29}\\\end{array}
Use the 2^{nd} digit 9 from dividend 29
\begin{array}{l}\phantom{19)}01\phantom{4}\\19\overline{)29}\\\phantom{19)}\underline{\phantom{}19\phantom{}}\\\phantom{19)}10\\\end{array}
Find closest multiple of 19 to 29. We see that 1 \times 19 = 19 is the nearest. Now subtract 19 from 29 to get reminder 10. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }10
Since 10 is less than 19, 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}