Evaluate
\frac{829579}{132001}\approx 6.284641783
Factor
\frac{79 \cdot 10501}{132001} = 6\frac{37573}{132001} = 6.284641783016795
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\begin{array}{l}\phantom{1320010)}\phantom{1}\\1320010\overline{)8295790}\\\end{array}
Use the 1^{st} digit 8 from dividend 8295790
\begin{array}{l}\phantom{1320010)}0\phantom{2}\\1320010\overline{)8295790}\\\end{array}
Since 8 is less than 1320010, use the next digit 2 from dividend 8295790 and add 0 to the quotient
\begin{array}{l}\phantom{1320010)}0\phantom{3}\\1320010\overline{)8295790}\\\end{array}
Use the 2^{nd} digit 2 from dividend 8295790
\begin{array}{l}\phantom{1320010)}00\phantom{4}\\1320010\overline{)8295790}\\\end{array}
Since 82 is less than 1320010, use the next digit 9 from dividend 8295790 and add 0 to the quotient
\begin{array}{l}\phantom{1320010)}00\phantom{5}\\1320010\overline{)8295790}\\\end{array}
Use the 3^{rd} digit 9 from dividend 8295790
\begin{array}{l}\phantom{1320010)}000\phantom{6}\\1320010\overline{)8295790}\\\end{array}
Since 829 is less than 1320010, use the next digit 5 from dividend 8295790 and add 0 to the quotient
\begin{array}{l}\phantom{1320010)}000\phantom{7}\\1320010\overline{)8295790}\\\end{array}
Use the 4^{th} digit 5 from dividend 8295790
\begin{array}{l}\phantom{1320010)}0000\phantom{8}\\1320010\overline{)8295790}\\\end{array}
Since 8295 is less than 1320010, use the next digit 7 from dividend 8295790 and add 0 to the quotient
\begin{array}{l}\phantom{1320010)}0000\phantom{9}\\1320010\overline{)8295790}\\\end{array}
Use the 5^{th} digit 7 from dividend 8295790
\begin{array}{l}\phantom{1320010)}00000\phantom{10}\\1320010\overline{)8295790}\\\end{array}
Since 82957 is less than 1320010, use the next digit 9 from dividend 8295790 and add 0 to the quotient
\begin{array}{l}\phantom{1320010)}00000\phantom{11}\\1320010\overline{)8295790}\\\end{array}
Use the 6^{th} digit 9 from dividend 8295790
\begin{array}{l}\phantom{1320010)}000000\phantom{12}\\1320010\overline{)8295790}\\\end{array}
Since 829579 is less than 1320010, use the next digit 0 from dividend 8295790 and add 0 to the quotient
\begin{array}{l}\phantom{1320010)}000000\phantom{13}\\1320010\overline{)8295790}\\\end{array}
Use the 7^{th} digit 0 from dividend 8295790
\begin{array}{l}\phantom{1320010)}0000006\phantom{14}\\1320010\overline{)8295790}\\\phantom{1320010)}\underline{\phantom{}7920060\phantom{}}\\\phantom{1320010)9}375730\\\end{array}
Find closest multiple of 1320010 to 8295790. We see that 6 \times 1320010 = 7920060 is the nearest. Now subtract 7920060 from 8295790 to get reminder 375730. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }375730
Since 375730 is less than 1320010, stop the division. The reminder is 375730. The topmost line 0000006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}