Evaluate
\frac{41}{14}\approx 2.928571429
Factor
\frac{41}{2 \cdot 7} = 2\frac{13}{14} = 2.9285714285714284
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\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)41}\\\end{array}
Use the 1^{st} digit 4 from dividend 41
\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)41}\\\end{array}
Since 4 is less than 14, use the next digit 1 from dividend 41 and add 0 to the quotient
\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)41}\\\end{array}
Use the 2^{nd} digit 1 from dividend 41
\begin{array}{l}\phantom{14)}02\phantom{4}\\14\overline{)41}\\\phantom{14)}\underline{\phantom{}28\phantom{}}\\\phantom{14)}13\\\end{array}
Find closest multiple of 14 to 41. We see that 2 \times 14 = 28 is the nearest. Now subtract 28 from 41 to get reminder 13. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }13
Since 13 is less than 14, stop the division. The reminder is 13. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}