Evaluate
\frac{7390753}{1996934}\approx 3.70105021
Factor
\frac{19 ^ {2} \cdot 59 \cdot 347}{2 \cdot 53 \cdot 18839} = 3\frac{1399951}{1996934} = 3.701050209971887
Share
Copied to clipboard
\begin{array}{l}\phantom{9984670)}\phantom{1}\\9984670\overline{)36953765}\\\end{array}
Use the 1^{st} digit 3 from dividend 36953765
\begin{array}{l}\phantom{9984670)}0\phantom{2}\\9984670\overline{)36953765}\\\end{array}
Since 3 is less than 9984670, use the next digit 6 from dividend 36953765 and add 0 to the quotient
\begin{array}{l}\phantom{9984670)}0\phantom{3}\\9984670\overline{)36953765}\\\end{array}
Use the 2^{nd} digit 6 from dividend 36953765
\begin{array}{l}\phantom{9984670)}00\phantom{4}\\9984670\overline{)36953765}\\\end{array}
Since 36 is less than 9984670, use the next digit 9 from dividend 36953765 and add 0 to the quotient
\begin{array}{l}\phantom{9984670)}00\phantom{5}\\9984670\overline{)36953765}\\\end{array}
Use the 3^{rd} digit 9 from dividend 36953765
\begin{array}{l}\phantom{9984670)}000\phantom{6}\\9984670\overline{)36953765}\\\end{array}
Since 369 is less than 9984670, use the next digit 5 from dividend 36953765 and add 0 to the quotient
\begin{array}{l}\phantom{9984670)}000\phantom{7}\\9984670\overline{)36953765}\\\end{array}
Use the 4^{th} digit 5 from dividend 36953765
\begin{array}{l}\phantom{9984670)}0000\phantom{8}\\9984670\overline{)36953765}\\\end{array}
Since 3695 is less than 9984670, use the next digit 3 from dividend 36953765 and add 0 to the quotient
\begin{array}{l}\phantom{9984670)}0000\phantom{9}\\9984670\overline{)36953765}\\\end{array}
Use the 5^{th} digit 3 from dividend 36953765
\begin{array}{l}\phantom{9984670)}00000\phantom{10}\\9984670\overline{)36953765}\\\end{array}
Since 36953 is less than 9984670, use the next digit 7 from dividend 36953765 and add 0 to the quotient
\begin{array}{l}\phantom{9984670)}00000\phantom{11}\\9984670\overline{)36953765}\\\end{array}
Use the 6^{th} digit 7 from dividend 36953765
\begin{array}{l}\phantom{9984670)}000000\phantom{12}\\9984670\overline{)36953765}\\\end{array}
Since 369537 is less than 9984670, use the next digit 6 from dividend 36953765 and add 0 to the quotient
\begin{array}{l}\phantom{9984670)}000000\phantom{13}\\9984670\overline{)36953765}\\\end{array}
Use the 7^{th} digit 6 from dividend 36953765
\begin{array}{l}\phantom{9984670)}0000000\phantom{14}\\9984670\overline{)36953765}\\\end{array}
Since 3695376 is less than 9984670, use the next digit 5 from dividend 36953765 and add 0 to the quotient
\begin{array}{l}\phantom{9984670)}0000000\phantom{15}\\9984670\overline{)36953765}\\\end{array}
Use the 8^{th} digit 5 from dividend 36953765
\begin{array}{l}\phantom{9984670)}00000003\phantom{16}\\9984670\overline{)36953765}\\\phantom{9984670)}\underline{\phantom{}29954010\phantom{}}\\\phantom{9984670)9}6999755\\\end{array}
Find closest multiple of 9984670 to 36953765. We see that 3 \times 9984670 = 29954010 is the nearest. Now subtract 29954010 from 36953765 to get reminder 6999755. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }6999755
Since 6999755 is less than 9984670, stop the division. The reminder is 6999755. The topmost line 00000003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}