Evaluate
\frac{29}{16}=1.8125
Factor
\frac{29}{2 ^ {4}} = 1\frac{13}{16} = 1.8125
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\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)29}\\\end{array}
Use the 1^{st} digit 2 from dividend 29
\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)29}\\\end{array}
Since 2 is less than 16, use the next digit 9 from dividend 29 and add 0 to the quotient
\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)29}\\\end{array}
Use the 2^{nd} digit 9 from dividend 29
\begin{array}{l}\phantom{16)}01\phantom{4}\\16\overline{)29}\\\phantom{16)}\underline{\phantom{}16\phantom{}}\\\phantom{16)}13\\\end{array}
Find closest multiple of 16 to 29. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 29 to get reminder 13. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }13
Since 13 is less than 16, stop the division. The reminder is 13. 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}