Evaluate
\frac{91}{29}\approx 3.137931034
Factor
\frac{7 \cdot 13}{29} = 3\frac{4}{29} = 3.1379310344827585
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\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)91}\\\end{array}
Use the 1^{st} digit 9 from dividend 91
\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)91}\\\end{array}
Since 9 is less than 29, use the next digit 1 from dividend 91 and add 0 to the quotient
\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)91}\\\end{array}
Use the 2^{nd} digit 1 from dividend 91
\begin{array}{l}\phantom{29)}03\phantom{4}\\29\overline{)91}\\\phantom{29)}\underline{\phantom{}87\phantom{}}\\\phantom{29)9}4\\\end{array}
Find closest multiple of 29 to 91. We see that 3 \times 29 = 87 is the nearest. Now subtract 87 from 91 to get reminder 4. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }4
Since 4 is less than 29, stop the division. The reminder is 4. The topmost line 03 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}