Evaluate
\frac{20709}{2348}\approx 8.819846678
Factor
\frac{3 ^ {3} \cdot 13 \cdot 59}{2 ^ {2} \cdot 587} = 8\frac{1925}{2348} = 8.81984667802385
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\begin{array}{l}\phantom{2348)}\phantom{1}\\2348\overline{)20709}\\\end{array}
Use the 1^{st} digit 2 from dividend 20709
\begin{array}{l}\phantom{2348)}0\phantom{2}\\2348\overline{)20709}\\\end{array}
Since 2 is less than 2348, use the next digit 0 from dividend 20709 and add 0 to the quotient
\begin{array}{l}\phantom{2348)}0\phantom{3}\\2348\overline{)20709}\\\end{array}
Use the 2^{nd} digit 0 from dividend 20709
\begin{array}{l}\phantom{2348)}00\phantom{4}\\2348\overline{)20709}\\\end{array}
Since 20 is less than 2348, use the next digit 7 from dividend 20709 and add 0 to the quotient
\begin{array}{l}\phantom{2348)}00\phantom{5}\\2348\overline{)20709}\\\end{array}
Use the 3^{rd} digit 7 from dividend 20709
\begin{array}{l}\phantom{2348)}000\phantom{6}\\2348\overline{)20709}\\\end{array}
Since 207 is less than 2348, use the next digit 0 from dividend 20709 and add 0 to the quotient
\begin{array}{l}\phantom{2348)}000\phantom{7}\\2348\overline{)20709}\\\end{array}
Use the 4^{th} digit 0 from dividend 20709
\begin{array}{l}\phantom{2348)}0000\phantom{8}\\2348\overline{)20709}\\\end{array}
Since 2070 is less than 2348, use the next digit 9 from dividend 20709 and add 0 to the quotient
\begin{array}{l}\phantom{2348)}0000\phantom{9}\\2348\overline{)20709}\\\end{array}
Use the 5^{th} digit 9 from dividend 20709
\begin{array}{l}\phantom{2348)}00008\phantom{10}\\2348\overline{)20709}\\\phantom{2348)}\underline{\phantom{}18784\phantom{}}\\\phantom{2348)9}1925\\\end{array}
Find closest multiple of 2348 to 20709. We see that 8 \times 2348 = 18784 is the nearest. Now subtract 18784 from 20709 to get reminder 1925. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }1925
Since 1925 is less than 2348, stop the division. The reminder is 1925. The topmost line 00008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}