Evaluate
\frac{6364000}{1325299}\approx 4.801935261
Factor
\frac{2 ^ {5} \cdot 5 ^ {3} \cdot 37 \cdot 43}{89 \cdot 14891} = 4\frac{1062804}{1325299} = 4.80193526140139
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\begin{array}{l}\phantom{1325299)}\phantom{1}\\1325299\overline{)6364000}\\\end{array}
Use the 1^{st} digit 6 from dividend 6364000
\begin{array}{l}\phantom{1325299)}0\phantom{2}\\1325299\overline{)6364000}\\\end{array}
Since 6 is less than 1325299, use the next digit 3 from dividend 6364000 and add 0 to the quotient
\begin{array}{l}\phantom{1325299)}0\phantom{3}\\1325299\overline{)6364000}\\\end{array}
Use the 2^{nd} digit 3 from dividend 6364000
\begin{array}{l}\phantom{1325299)}00\phantom{4}\\1325299\overline{)6364000}\\\end{array}
Since 63 is less than 1325299, use the next digit 6 from dividend 6364000 and add 0 to the quotient
\begin{array}{l}\phantom{1325299)}00\phantom{5}\\1325299\overline{)6364000}\\\end{array}
Use the 3^{rd} digit 6 from dividend 6364000
\begin{array}{l}\phantom{1325299)}000\phantom{6}\\1325299\overline{)6364000}\\\end{array}
Since 636 is less than 1325299, use the next digit 4 from dividend 6364000 and add 0 to the quotient
\begin{array}{l}\phantom{1325299)}000\phantom{7}\\1325299\overline{)6364000}\\\end{array}
Use the 4^{th} digit 4 from dividend 6364000
\begin{array}{l}\phantom{1325299)}0000\phantom{8}\\1325299\overline{)6364000}\\\end{array}
Since 6364 is less than 1325299, use the next digit 0 from dividend 6364000 and add 0 to the quotient
\begin{array}{l}\phantom{1325299)}0000\phantom{9}\\1325299\overline{)6364000}\\\end{array}
Use the 5^{th} digit 0 from dividend 6364000
\begin{array}{l}\phantom{1325299)}00000\phantom{10}\\1325299\overline{)6364000}\\\end{array}
Since 63640 is less than 1325299, use the next digit 0 from dividend 6364000 and add 0 to the quotient
\begin{array}{l}\phantom{1325299)}00000\phantom{11}\\1325299\overline{)6364000}\\\end{array}
Use the 6^{th} digit 0 from dividend 6364000
\begin{array}{l}\phantom{1325299)}000000\phantom{12}\\1325299\overline{)6364000}\\\end{array}
Since 636400 is less than 1325299, use the next digit 0 from dividend 6364000 and add 0 to the quotient
\begin{array}{l}\phantom{1325299)}000000\phantom{13}\\1325299\overline{)6364000}\\\end{array}
Use the 7^{th} digit 0 from dividend 6364000
\begin{array}{l}\phantom{1325299)}0000004\phantom{14}\\1325299\overline{)6364000}\\\phantom{1325299)}\underline{\phantom{}5301196\phantom{}}\\\phantom{1325299)}1062804\\\end{array}
Find closest multiple of 1325299 to 6364000. We see that 4 \times 1325299 = 5301196 is the nearest. Now subtract 5301196 from 6364000 to get reminder 1062804. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }1062804
Since 1062804 is less than 1325299, stop the division. The reminder is 1062804. The topmost line 0000004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}