Evaluate
\frac{26}{11}\approx 2.363636364
Factor
\frac{2 \cdot 13}{11} = 2\frac{4}{11} = 2.3636363636363638
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\begin{array}{l}\phantom{352)}\phantom{1}\\352\overline{)832}\\\end{array}
Use the 1^{st} digit 8 from dividend 832
\begin{array}{l}\phantom{352)}0\phantom{2}\\352\overline{)832}\\\end{array}
Since 8 is less than 352, use the next digit 3 from dividend 832 and add 0 to the quotient
\begin{array}{l}\phantom{352)}0\phantom{3}\\352\overline{)832}\\\end{array}
Use the 2^{nd} digit 3 from dividend 832
\begin{array}{l}\phantom{352)}00\phantom{4}\\352\overline{)832}\\\end{array}
Since 83 is less than 352, use the next digit 2 from dividend 832 and add 0 to the quotient
\begin{array}{l}\phantom{352)}00\phantom{5}\\352\overline{)832}\\\end{array}
Use the 3^{rd} digit 2 from dividend 832
\begin{array}{l}\phantom{352)}002\phantom{6}\\352\overline{)832}\\\phantom{352)}\underline{\phantom{}704\phantom{}}\\\phantom{352)}128\\\end{array}
Find closest multiple of 352 to 832. We see that 2 \times 352 = 704 is the nearest. Now subtract 704 from 832 to get reminder 128. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }128
Since 128 is less than 352, stop the division. The reminder is 128. 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}