Evaluate
\frac{11309}{4390}\approx 2.576082005
Factor
\frac{43 \cdot 263}{2 \cdot 5 \cdot 439} = 2\frac{2529}{4390} = 2.5760820045558086
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\begin{array}{l}\phantom{4390)}\phantom{1}\\4390\overline{)11309}\\\end{array}
Use the 1^{st} digit 1 from dividend 11309
\begin{array}{l}\phantom{4390)}0\phantom{2}\\4390\overline{)11309}\\\end{array}
Since 1 is less than 4390, use the next digit 1 from dividend 11309 and add 0 to the quotient
\begin{array}{l}\phantom{4390)}0\phantom{3}\\4390\overline{)11309}\\\end{array}
Use the 2^{nd} digit 1 from dividend 11309
\begin{array}{l}\phantom{4390)}00\phantom{4}\\4390\overline{)11309}\\\end{array}
Since 11 is less than 4390, use the next digit 3 from dividend 11309 and add 0 to the quotient
\begin{array}{l}\phantom{4390)}00\phantom{5}\\4390\overline{)11309}\\\end{array}
Use the 3^{rd} digit 3 from dividend 11309
\begin{array}{l}\phantom{4390)}000\phantom{6}\\4390\overline{)11309}\\\end{array}
Since 113 is less than 4390, use the next digit 0 from dividend 11309 and add 0 to the quotient
\begin{array}{l}\phantom{4390)}000\phantom{7}\\4390\overline{)11309}\\\end{array}
Use the 4^{th} digit 0 from dividend 11309
\begin{array}{l}\phantom{4390)}0000\phantom{8}\\4390\overline{)11309}\\\end{array}
Since 1130 is less than 4390, use the next digit 9 from dividend 11309 and add 0 to the quotient
\begin{array}{l}\phantom{4390)}0000\phantom{9}\\4390\overline{)11309}\\\end{array}
Use the 5^{th} digit 9 from dividend 11309
\begin{array}{l}\phantom{4390)}00002\phantom{10}\\4390\overline{)11309}\\\phantom{4390)}\underline{\phantom{9}8780\phantom{}}\\\phantom{4390)9}2529\\\end{array}
Find closest multiple of 4390 to 11309. We see that 2 \times 4390 = 8780 is the nearest. Now subtract 8780 from 11309 to get reminder 2529. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }2529
Since 2529 is less than 4390, stop the division. The reminder is 2529. 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}