Evaluate
\frac{49}{33}\approx 1.484848485
Factor
\frac{7 ^ {2}}{3 \cdot 11} = 1\frac{16}{33} = 1.4848484848484849
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\begin{array}{l}\phantom{33)}\phantom{1}\\33\overline{)49}\\\end{array}
Use the 1^{st} digit 4 from dividend 49
\begin{array}{l}\phantom{33)}0\phantom{2}\\33\overline{)49}\\\end{array}
Since 4 is less than 33, use the next digit 9 from dividend 49 and add 0 to the quotient
\begin{array}{l}\phantom{33)}0\phantom{3}\\33\overline{)49}\\\end{array}
Use the 2^{nd} digit 9 from dividend 49
\begin{array}{l}\phantom{33)}01\phantom{4}\\33\overline{)49}\\\phantom{33)}\underline{\phantom{}33\phantom{}}\\\phantom{33)}16\\\end{array}
Find closest multiple of 33 to 49. We see that 1 \times 33 = 33 is the nearest. Now subtract 33 from 49 to get reminder 16. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }16
Since 16 is less than 33, stop the division. The reminder is 16. 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}