Evaluate
\frac{11}{5}=2.2
Factor
\frac{11}{5} = 2\frac{1}{5} = 2.2
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\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)275}\\\end{array}
Use the 1^{st} digit 2 from dividend 275
\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)275}\\\end{array}
Since 2 is less than 125, use the next digit 7 from dividend 275 and add 0 to the quotient
\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)275}\\\end{array}
Use the 2^{nd} digit 7 from dividend 275
\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)275}\\\end{array}
Since 27 is less than 125, use the next digit 5 from dividend 275 and add 0 to the quotient
\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)275}\\\end{array}
Use the 3^{rd} digit 5 from dividend 275
\begin{array}{l}\phantom{125)}002\phantom{6}\\125\overline{)275}\\\phantom{125)}\underline{\phantom{}250\phantom{}}\\\phantom{125)9}25\\\end{array}
Find closest multiple of 125 to 275. We see that 2 \times 125 = 250 is the nearest. Now subtract 250 from 275 to get reminder 25. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }25
Since 25 is less than 125, stop the division. The reminder is 25. The topmost line 002 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}