Evaluate
\frac{1617087}{1250}=1293.6696
Factor
\frac{3 \cdot 97 \cdot 5557}{2 \cdot 5 ^ {4}} = 1293\frac{837}{1250} = 1293.6696
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\begin{array}{l}\phantom{10000)}\phantom{1}\\10000\overline{)12936696}\\\end{array}
Use the 1^{st} digit 1 from dividend 12936696
\begin{array}{l}\phantom{10000)}0\phantom{2}\\10000\overline{)12936696}\\\end{array}
Since 1 is less than 10000, use the next digit 2 from dividend 12936696 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}0\phantom{3}\\10000\overline{)12936696}\\\end{array}
Use the 2^{nd} digit 2 from dividend 12936696
\begin{array}{l}\phantom{10000)}00\phantom{4}\\10000\overline{)12936696}\\\end{array}
Since 12 is less than 10000, use the next digit 9 from dividend 12936696 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}00\phantom{5}\\10000\overline{)12936696}\\\end{array}
Use the 3^{rd} digit 9 from dividend 12936696
\begin{array}{l}\phantom{10000)}000\phantom{6}\\10000\overline{)12936696}\\\end{array}
Since 129 is less than 10000, use the next digit 3 from dividend 12936696 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}000\phantom{7}\\10000\overline{)12936696}\\\end{array}
Use the 4^{th} digit 3 from dividend 12936696
\begin{array}{l}\phantom{10000)}0000\phantom{8}\\10000\overline{)12936696}\\\end{array}
Since 1293 is less than 10000, use the next digit 6 from dividend 12936696 and add 0 to the quotient
\begin{array}{l}\phantom{10000)}0000\phantom{9}\\10000\overline{)12936696}\\\end{array}
Use the 5^{th} digit 6 from dividend 12936696
\begin{array}{l}\phantom{10000)}00001\phantom{10}\\10000\overline{)12936696}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}2936\\\end{array}
Find closest multiple of 10000 to 12936. We see that 1 \times 10000 = 10000 is the nearest. Now subtract 10000 from 12936 to get reminder 2936. Add 1 to quotient.
\begin{array}{l}\phantom{10000)}00001\phantom{11}\\10000\overline{)12936696}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}29366\\\end{array}
Use the 6^{th} digit 6 from dividend 12936696
\begin{array}{l}\phantom{10000)}000012\phantom{12}\\10000\overline{)12936696}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}29366\\\phantom{10000)}\underline{\phantom{9}20000\phantom{99}}\\\phantom{10000)99}9366\\\end{array}
Find closest multiple of 10000 to 29366. We see that 2 \times 10000 = 20000 is the nearest. Now subtract 20000 from 29366 to get reminder 9366. Add 2 to quotient.
\begin{array}{l}\phantom{10000)}000012\phantom{13}\\10000\overline{)12936696}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}29366\\\phantom{10000)}\underline{\phantom{9}20000\phantom{99}}\\\phantom{10000)99}93669\\\end{array}
Use the 7^{th} digit 9 from dividend 12936696
\begin{array}{l}\phantom{10000)}0000129\phantom{14}\\10000\overline{)12936696}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}29366\\\phantom{10000)}\underline{\phantom{9}20000\phantom{99}}\\\phantom{10000)99}93669\\\phantom{10000)}\underline{\phantom{99}90000\phantom{9}}\\\phantom{10000)999}3669\\\end{array}
Find closest multiple of 10000 to 93669. We see that 9 \times 10000 = 90000 is the nearest. Now subtract 90000 from 93669 to get reminder 3669. Add 9 to quotient.
\begin{array}{l}\phantom{10000)}0000129\phantom{15}\\10000\overline{)12936696}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}29366\\\phantom{10000)}\underline{\phantom{9}20000\phantom{99}}\\\phantom{10000)99}93669\\\phantom{10000)}\underline{\phantom{99}90000\phantom{9}}\\\phantom{10000)999}36696\\\end{array}
Use the 8^{th} digit 6 from dividend 12936696
\begin{array}{l}\phantom{10000)}00001293\phantom{16}\\10000\overline{)12936696}\\\phantom{10000)}\underline{\phantom{}10000\phantom{999}}\\\phantom{10000)9}29366\\\phantom{10000)}\underline{\phantom{9}20000\phantom{99}}\\\phantom{10000)99}93669\\\phantom{10000)}\underline{\phantom{99}90000\phantom{9}}\\\phantom{10000)999}36696\\\phantom{10000)}\underline{\phantom{999}30000\phantom{}}\\\phantom{10000)9999}6696\\\end{array}
Find closest multiple of 10000 to 36696. We see that 3 \times 10000 = 30000 is the nearest. Now subtract 30000 from 36696 to get reminder 6696. Add 3 to quotient.
\text{Quotient: }1293 \text{Reminder: }6696
Since 6696 is less than 10000, stop the division. The reminder is 6696. The topmost line 00001293 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1293.
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}