Evaluate
\frac{208949900}{8515759}\approx 24.536849857
Factor
\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 43 \cdot 48593}{7 ^ {2} \cdot 17 \cdot 10223} = 24\frac{4571684}{8515759} = 24.536849856836014
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\begin{array}{l}\phantom{8515759)}\phantom{1}\\8515759\overline{)208949900}\\\end{array}
Use the 1^{st} digit 2 from dividend 208949900
\begin{array}{l}\phantom{8515759)}0\phantom{2}\\8515759\overline{)208949900}\\\end{array}
Since 2 is less than 8515759, use the next digit 0 from dividend 208949900 and add 0 to the quotient
\begin{array}{l}\phantom{8515759)}0\phantom{3}\\8515759\overline{)208949900}\\\end{array}
Use the 2^{nd} digit 0 from dividend 208949900
\begin{array}{l}\phantom{8515759)}00\phantom{4}\\8515759\overline{)208949900}\\\end{array}
Since 20 is less than 8515759, use the next digit 8 from dividend 208949900 and add 0 to the quotient
\begin{array}{l}\phantom{8515759)}00\phantom{5}\\8515759\overline{)208949900}\\\end{array}
Use the 3^{rd} digit 8 from dividend 208949900
\begin{array}{l}\phantom{8515759)}000\phantom{6}\\8515759\overline{)208949900}\\\end{array}
Since 208 is less than 8515759, use the next digit 9 from dividend 208949900 and add 0 to the quotient
\begin{array}{l}\phantom{8515759)}000\phantom{7}\\8515759\overline{)208949900}\\\end{array}
Use the 4^{th} digit 9 from dividend 208949900
\begin{array}{l}\phantom{8515759)}0000\phantom{8}\\8515759\overline{)208949900}\\\end{array}
Since 2089 is less than 8515759, use the next digit 4 from dividend 208949900 and add 0 to the quotient
\begin{array}{l}\phantom{8515759)}0000\phantom{9}\\8515759\overline{)208949900}\\\end{array}
Use the 5^{th} digit 4 from dividend 208949900
\begin{array}{l}\phantom{8515759)}00000\phantom{10}\\8515759\overline{)208949900}\\\end{array}
Since 20894 is less than 8515759, use the next digit 9 from dividend 208949900 and add 0 to the quotient
\begin{array}{l}\phantom{8515759)}00000\phantom{11}\\8515759\overline{)208949900}\\\end{array}
Use the 6^{th} digit 9 from dividend 208949900
\begin{array}{l}\phantom{8515759)}000000\phantom{12}\\8515759\overline{)208949900}\\\end{array}
Since 208949 is less than 8515759, use the next digit 9 from dividend 208949900 and add 0 to the quotient
\begin{array}{l}\phantom{8515759)}000000\phantom{13}\\8515759\overline{)208949900}\\\end{array}
Use the 7^{th} digit 9 from dividend 208949900
\begin{array}{l}\phantom{8515759)}0000000\phantom{14}\\8515759\overline{)208949900}\\\end{array}
Since 2089499 is less than 8515759, use the next digit 0 from dividend 208949900 and add 0 to the quotient
\begin{array}{l}\phantom{8515759)}0000000\phantom{15}\\8515759\overline{)208949900}\\\end{array}
Use the 8^{th} digit 0 from dividend 208949900
\begin{array}{l}\phantom{8515759)}00000002\phantom{16}\\8515759\overline{)208949900}\\\phantom{8515759)}\underline{\phantom{}17031518\phantom{9}}\\\phantom{8515759)9}3863472\\\end{array}
Find closest multiple of 8515759 to 20894990. We see that 2 \times 8515759 = 17031518 is the nearest. Now subtract 17031518 from 20894990 to get reminder 3863472. Add 2 to quotient.
\begin{array}{l}\phantom{8515759)}00000002\phantom{17}\\8515759\overline{)208949900}\\\phantom{8515759)}\underline{\phantom{}17031518\phantom{9}}\\\phantom{8515759)9}38634720\\\end{array}
Use the 9^{th} digit 0 from dividend 208949900
\begin{array}{l}\phantom{8515759)}000000024\phantom{18}\\8515759\overline{)208949900}\\\phantom{8515759)}\underline{\phantom{}17031518\phantom{9}}\\\phantom{8515759)9}38634720\\\phantom{8515759)}\underline{\phantom{9}34063036\phantom{}}\\\phantom{8515759)99}4571684\\\end{array}
Find closest multiple of 8515759 to 38634720. We see that 4 \times 8515759 = 34063036 is the nearest. Now subtract 34063036 from 38634720 to get reminder 4571684. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }4571684
Since 4571684 is less than 8515759, stop the division. The reminder is 4571684. The topmost line 000000024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.
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}