Evaluate
\frac{29}{3}\approx 9.666666667
Factor
\frac{29}{3} = 9\frac{2}{3} = 9.666666666666666
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)116}\\\end{array}
Use the 1^{st} digit 1 from dividend 116
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)116}\\\end{array}
Since 1 is less than 12, use the next digit 1 from dividend 116 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)116}\\\end{array}
Use the 2^{nd} digit 1 from dividend 116
\begin{array}{l}\phantom{12)}00\phantom{4}\\12\overline{)116}\\\end{array}
Since 11 is less than 12, use the next digit 6 from dividend 116 and add 0 to the quotient
\begin{array}{l}\phantom{12)}00\phantom{5}\\12\overline{)116}\\\end{array}
Use the 3^{rd} digit 6 from dividend 116
\begin{array}{l}\phantom{12)}009\phantom{6}\\12\overline{)116}\\\phantom{12)}\underline{\phantom{}108\phantom{}}\\\phantom{12)99}8\\\end{array}
Find closest multiple of 12 to 116. We see that 9 \times 12 = 108 is the nearest. Now subtract 108 from 116 to get reminder 8. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }8
Since 8 is less than 12, stop the division. The reminder is 8. The topmost line 009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}