Evaluate
\frac{828646}{146665}\approx 5.649923295
Factor
\frac{2 \cdot 7 \cdot 13 \cdot 29 \cdot 157}{5 \cdot 29333} = 5\frac{95321}{146665} = 5.6499232945828926
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\begin{array}{l}\phantom{146665)}\phantom{1}\\146665\overline{)828646}\\\end{array}
Use the 1^{st} digit 8 from dividend 828646
\begin{array}{l}\phantom{146665)}0\phantom{2}\\146665\overline{)828646}\\\end{array}
Since 8 is less than 146665, use the next digit 2 from dividend 828646 and add 0 to the quotient
\begin{array}{l}\phantom{146665)}0\phantom{3}\\146665\overline{)828646}\\\end{array}
Use the 2^{nd} digit 2 from dividend 828646
\begin{array}{l}\phantom{146665)}00\phantom{4}\\146665\overline{)828646}\\\end{array}
Since 82 is less than 146665, use the next digit 8 from dividend 828646 and add 0 to the quotient
\begin{array}{l}\phantom{146665)}00\phantom{5}\\146665\overline{)828646}\\\end{array}
Use the 3^{rd} digit 8 from dividend 828646
\begin{array}{l}\phantom{146665)}000\phantom{6}\\146665\overline{)828646}\\\end{array}
Since 828 is less than 146665, use the next digit 6 from dividend 828646 and add 0 to the quotient
\begin{array}{l}\phantom{146665)}000\phantom{7}\\146665\overline{)828646}\\\end{array}
Use the 4^{th} digit 6 from dividend 828646
\begin{array}{l}\phantom{146665)}0000\phantom{8}\\146665\overline{)828646}\\\end{array}
Since 8286 is less than 146665, use the next digit 4 from dividend 828646 and add 0 to the quotient
\begin{array}{l}\phantom{146665)}0000\phantom{9}\\146665\overline{)828646}\\\end{array}
Use the 5^{th} digit 4 from dividend 828646
\begin{array}{l}\phantom{146665)}00000\phantom{10}\\146665\overline{)828646}\\\end{array}
Since 82864 is less than 146665, use the next digit 6 from dividend 828646 and add 0 to the quotient
\begin{array}{l}\phantom{146665)}00000\phantom{11}\\146665\overline{)828646}\\\end{array}
Use the 6^{th} digit 6 from dividend 828646
\begin{array}{l}\phantom{146665)}000005\phantom{12}\\146665\overline{)828646}\\\phantom{146665)}\underline{\phantom{}733325\phantom{}}\\\phantom{146665)9}95321\\\end{array}
Find closest multiple of 146665 to 828646. We see that 5 \times 146665 = 733325 is the nearest. Now subtract 733325 from 828646 to get reminder 95321. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }95321
Since 95321 is less than 146665, stop the division. The reminder is 95321. The topmost line 000005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}