Evaluate
\frac{123067}{10000}=12.3067
Factor
\frac{7 \cdot 17581}{2 ^ {4} \cdot 5 ^ {4}} = 12\frac{3067}{10000} = 12.3067
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\begin{array}{l}\phantom{10000)}\phantom{1}\\10000\overline{)123067}\\\end{array}
Use the 1^{st} digit 1 from dividend 123067
\begin{array}{l}\phantom{10000)}0\phantom{2}\\10000\overline{)123067}\\\end{array}
Since 1 is less than 10000, use the next digit 2 from dividend 123067 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}0\phantom{3}\\10000\overline{)123067}\\\end{array}
Use the 2^{nd} digit 2 from dividend 123067
\begin{array}{l}\phantom{10000)}00\phantom{4}\\10000\overline{)123067}\\\end{array}
Since 12 is less than 10000, use the next digit 3 from dividend 123067 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}00\phantom{5}\\10000\overline{)123067}\\\end{array}
Use the 3^{rd} digit 3 from dividend 123067
\begin{array}{l}\phantom{10000)}000\phantom{6}\\10000\overline{)123067}\\\end{array}
Since 123 is less than 10000, use the next digit 0 from dividend 123067 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}000\phantom{7}\\10000\overline{)123067}\\\end{array}
Use the 4^{th} digit 0 from dividend 123067
\begin{array}{l}\phantom{10000)}0000\phantom{8}\\10000\overline{)123067}\\\end{array}
Since 1230 is less than 10000, use the next digit 6 from dividend 123067 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}0000\phantom{9}\\10000\overline{)123067}\\\end{array}
Use the 5^{th} digit 6 from dividend 123067
\begin{array}{l}\phantom{10000)}00001\phantom{10}\\10000\overline{)123067}\\\phantom{10000)}\underline{\phantom{}10000\phantom{9}}\\\phantom{10000)9}2306\\\end{array}
Find closest multiple of 10000 to 12306. We see that 1 \times 10000 = 10000 is the nearest. Now subtract 10000 from 12306 to get reminder 2306. Add 1 to quotient.
\begin{array}{l}\phantom{10000)}00001\phantom{11}\\10000\overline{)123067}\\\phantom{10000)}\underline{\phantom{}10000\phantom{9}}\\\phantom{10000)9}23067\\\end{array}
Use the 6^{th} digit 7 from dividend 123067
\begin{array}{l}\phantom{10000)}000012\phantom{12}\\10000\overline{)123067}\\\phantom{10000)}\underline{\phantom{}10000\phantom{9}}\\\phantom{10000)9}23067\\\phantom{10000)}\underline{\phantom{9}20000\phantom{}}\\\phantom{10000)99}3067\\\end{array}
Find closest multiple of 10000 to 23067. We see that 2 \times 10000 = 20000 is the nearest. Now subtract 20000 from 23067 to get reminder 3067. Add 2 to quotient.
\text{Quotient: }12 \text{Reminder: }3067
Since 3067 is less than 10000, stop the division. The reminder is 3067. The topmost line 000012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.
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}