Evaluate
\frac{14}{11}\approx 1.272727273
Factor
\frac{2 \cdot 7}{11} = 1\frac{3}{11} = 1.2727272727272727
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\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)70}\\\end{array}
Use the 1^{st} digit 7 from dividend 70
\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)70}\\\end{array}
Since 7 is less than 55, use the next digit 0 from dividend 70 and add 0 to the quotient
\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)70}\\\end{array}
Use the 2^{nd} digit 0 from dividend 70
\begin{array}{l}\phantom{55)}01\phantom{4}\\55\overline{)70}\\\phantom{55)}\underline{\phantom{}55\phantom{}}\\\phantom{55)}15\\\end{array}
Find closest multiple of 55 to 70. We see that 1 \times 55 = 55 is the nearest. Now subtract 55 from 70 to get reminder 15. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }15
Since 15 is less than 55, stop the division. The reminder is 15. 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}