Evaluate
\frac{29}{18}\approx 1.611111111
Factor
\frac{29}{2 \cdot 3 ^ {2}} = 1\frac{11}{18} = 1.6111111111111112
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\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)29}\\\end{array}
Use the 1^{st} digit 2 from dividend 29
\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)29}\\\end{array}
Since 2 is less than 18, use the next digit 9 from dividend 29 and add 0 to the quotient
\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)29}\\\end{array}
Use the 2^{nd} digit 9 from dividend 29
\begin{array}{l}\phantom{18)}01\phantom{4}\\18\overline{)29}\\\phantom{18)}\underline{\phantom{}18\phantom{}}\\\phantom{18)}11\\\end{array}
Find closest multiple of 18 to 29. We see that 1 \times 18 = 18 is the nearest. Now subtract 18 from 29 to get reminder 11. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }11
Since 11 is less than 18, stop the division. The reminder is 11. 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}