Evaluate
\frac{32727}{12475}\approx 2.623406814
Factor
\frac{3 \cdot 10909}{5 ^ {2} \cdot 499} = 2\frac{7777}{12475} = 2.6234068136272546
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\begin{array}{l}\phantom{12475)}\phantom{1}\\12475\overline{)32727}\\\end{array}
Use the 1^{st} digit 3 from dividend 32727
\begin{array}{l}\phantom{12475)}0\phantom{2}\\12475\overline{)32727}\\\end{array}
Since 3 is less than 12475, use the next digit 2 from dividend 32727 and add 0 to the quotient
\begin{array}{l}\phantom{12475)}0\phantom{3}\\12475\overline{)32727}\\\end{array}
Use the 2^{nd} digit 2 from dividend 32727
\begin{array}{l}\phantom{12475)}00\phantom{4}\\12475\overline{)32727}\\\end{array}
Since 32 is less than 12475, use the next digit 7 from dividend 32727 and add 0 to the quotient
\begin{array}{l}\phantom{12475)}00\phantom{5}\\12475\overline{)32727}\\\end{array}
Use the 3^{rd} digit 7 from dividend 32727
\begin{array}{l}\phantom{12475)}000\phantom{6}\\12475\overline{)32727}\\\end{array}
Since 327 is less than 12475, use the next digit 2 from dividend 32727 and add 0 to the quotient
\begin{array}{l}\phantom{12475)}000\phantom{7}\\12475\overline{)32727}\\\end{array}
Use the 4^{th} digit 2 from dividend 32727
\begin{array}{l}\phantom{12475)}0000\phantom{8}\\12475\overline{)32727}\\\end{array}
Since 3272 is less than 12475, use the next digit 7 from dividend 32727 and add 0 to the quotient
\begin{array}{l}\phantom{12475)}0000\phantom{9}\\12475\overline{)32727}\\\end{array}
Use the 5^{th} digit 7 from dividend 32727
\begin{array}{l}\phantom{12475)}00002\phantom{10}\\12475\overline{)32727}\\\phantom{12475)}\underline{\phantom{}24950\phantom{}}\\\phantom{12475)9}7777\\\end{array}
Find closest multiple of 12475 to 32727. We see that 2 \times 12475 = 24950 is the nearest. Now subtract 24950 from 32727 to get reminder 7777. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }7777
Since 7777 is less than 12475, stop the division. The reminder is 7777. The topmost line 00002 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}