Evaluate
\frac{17009}{1250}=13.6072
Factor
\frac{73 \cdot 233}{2 \cdot 5 ^ {4}} = 13\frac{759}{1250} = 13.6072
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\begin{array}{l}\phantom{10000)}\phantom{1}\\10000\overline{)136072}\\\end{array}
Use the 1^{st} digit 1 from dividend 136072
\begin{array}{l}\phantom{10000)}0\phantom{2}\\10000\overline{)136072}\\\end{array}
Since 1 is less than 10000, use the next digit 3 from dividend 136072 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}0\phantom{3}\\10000\overline{)136072}\\\end{array}
Use the 2^{nd} digit 3 from dividend 136072
\begin{array}{l}\phantom{10000)}00\phantom{4}\\10000\overline{)136072}\\\end{array}
Since 13 is less than 10000, use the next digit 6 from dividend 136072 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}00\phantom{5}\\10000\overline{)136072}\\\end{array}
Use the 3^{rd} digit 6 from dividend 136072
\begin{array}{l}\phantom{10000)}000\phantom{6}\\10000\overline{)136072}\\\end{array}
Since 136 is less than 10000, use the next digit 0 from dividend 136072 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}000\phantom{7}\\10000\overline{)136072}\\\end{array}
Use the 4^{th} digit 0 from dividend 136072
\begin{array}{l}\phantom{10000)}0000\phantom{8}\\10000\overline{)136072}\\\end{array}
Since 1360 is less than 10000, use the next digit 7 from dividend 136072 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}0000\phantom{9}\\10000\overline{)136072}\\\end{array}
Use the 5^{th} digit 7 from dividend 136072
\begin{array}{l}\phantom{10000)}00001\phantom{10}\\10000\overline{)136072}\\\phantom{10000)}\underline{\phantom{}10000\phantom{9}}\\\phantom{10000)9}3607\\\end{array}
Find closest multiple of 10000 to 13607. We see that 1 \times 10000 = 10000 is the nearest. Now subtract 10000 from 13607 to get reminder 3607. Add 1 to quotient.
\begin{array}{l}\phantom{10000)}00001\phantom{11}\\10000\overline{)136072}\\\phantom{10000)}\underline{\phantom{}10000\phantom{9}}\\\phantom{10000)9}36072\\\end{array}
Use the 6^{th} digit 2 from dividend 136072
\begin{array}{l}\phantom{10000)}000013\phantom{12}\\10000\overline{)136072}\\\phantom{10000)}\underline{\phantom{}10000\phantom{9}}\\\phantom{10000)9}36072\\\phantom{10000)}\underline{\phantom{9}30000\phantom{}}\\\phantom{10000)99}6072\\\end{array}
Find closest multiple of 10000 to 36072. We see that 3 \times 10000 = 30000 is the nearest. Now subtract 30000 from 36072 to get reminder 6072. Add 3 to quotient.
\text{Quotient: }13 \text{Reminder: }6072
Since 6072 is less than 10000, stop the division. The reminder is 6072. The topmost line 000013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.
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}