Evaluate
\frac{3011}{1250}=2.4088
Factor
\frac{3011}{2 \cdot 5 ^ {4}} = 2\frac{511}{1250} = 2.4088
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\begin{array}{l}\phantom{10000)}\phantom{1}\\10000\overline{)24088}\\\end{array}
Use the 1^{st} digit 2 from dividend 24088
\begin{array}{l}\phantom{10000)}0\phantom{2}\\10000\overline{)24088}\\\end{array}
Since 2 is less than 10000, use the next digit 4 from dividend 24088 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}0\phantom{3}\\10000\overline{)24088}\\\end{array}
Use the 2^{nd} digit 4 from dividend 24088
\begin{array}{l}\phantom{10000)}00\phantom{4}\\10000\overline{)24088}\\\end{array}
Since 24 is less than 10000, use the next digit 0 from dividend 24088 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}00\phantom{5}\\10000\overline{)24088}\\\end{array}
Use the 3^{rd} digit 0 from dividend 24088
\begin{array}{l}\phantom{10000)}000\phantom{6}\\10000\overline{)24088}\\\end{array}
Since 240 is less than 10000, use the next digit 8 from dividend 24088 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}000\phantom{7}\\10000\overline{)24088}\\\end{array}
Use the 4^{th} digit 8 from dividend 24088
\begin{array}{l}\phantom{10000)}0000\phantom{8}\\10000\overline{)24088}\\\end{array}
Since 2408 is less than 10000, use the next digit 8 from dividend 24088 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}0000\phantom{9}\\10000\overline{)24088}\\\end{array}
Use the 5^{th} digit 8 from dividend 24088
\begin{array}{l}\phantom{10000)}00002\phantom{10}\\10000\overline{)24088}\\\phantom{10000)}\underline{\phantom{}20000\phantom{}}\\\phantom{10000)9}4088\\\end{array}
Find closest multiple of 10000 to 24088. We see that 2 \times 10000 = 20000 is the nearest. Now subtract 20000 from 24088 to get reminder 4088. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }4088
Since 4088 is less than 10000, stop the division. The reminder is 4088. 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}