Evaluate
\frac{3011}{364}\approx 8.271978022
Factor
\frac{3011}{2 ^ {2} \cdot 7 \cdot 13} = 8\frac{99}{364} = 8.271978021978022
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\begin{array}{l}\phantom{7280000)}\phantom{1}\\7280000\overline{)60220000}\\\end{array}
Use the 1^{st} digit 6 from dividend 60220000
\begin{array}{l}\phantom{7280000)}0\phantom{2}\\7280000\overline{)60220000}\\\end{array}
Since 6 is less than 7280000, use the next digit 0 from dividend 60220000 and add 0 to the quotient
\begin{array}{l}\phantom{7280000)}0\phantom{3}\\7280000\overline{)60220000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 60220000
\begin{array}{l}\phantom{7280000)}00\phantom{4}\\7280000\overline{)60220000}\\\end{array}
Since 60 is less than 7280000, use the next digit 2 from dividend 60220000 and add 0 to the quotient
\begin{array}{l}\phantom{7280000)}00\phantom{5}\\7280000\overline{)60220000}\\\end{array}
Use the 3^{rd} digit 2 from dividend 60220000
\begin{array}{l}\phantom{7280000)}000\phantom{6}\\7280000\overline{)60220000}\\\end{array}
Since 602 is less than 7280000, use the next digit 2 from dividend 60220000 and add 0 to the quotient
\begin{array}{l}\phantom{7280000)}000\phantom{7}\\7280000\overline{)60220000}\\\end{array}
Use the 4^{th} digit 2 from dividend 60220000
\begin{array}{l}\phantom{7280000)}0000\phantom{8}\\7280000\overline{)60220000}\\\end{array}
Since 6022 is less than 7280000, use the next digit 0 from dividend 60220000 and add 0 to the quotient
\begin{array}{l}\phantom{7280000)}0000\phantom{9}\\7280000\overline{)60220000}\\\end{array}
Use the 5^{th} digit 0 from dividend 60220000
\begin{array}{l}\phantom{7280000)}00000\phantom{10}\\7280000\overline{)60220000}\\\end{array}
Since 60220 is less than 7280000, use the next digit 0 from dividend 60220000 and add 0 to the quotient
\begin{array}{l}\phantom{7280000)}00000\phantom{11}\\7280000\overline{)60220000}\\\end{array}
Use the 6^{th} digit 0 from dividend 60220000
\begin{array}{l}\phantom{7280000)}000000\phantom{12}\\7280000\overline{)60220000}\\\end{array}
Since 602200 is less than 7280000, use the next digit 0 from dividend 60220000 and add 0 to the quotient
\begin{array}{l}\phantom{7280000)}000000\phantom{13}\\7280000\overline{)60220000}\\\end{array}
Use the 7^{th} digit 0 from dividend 60220000
\begin{array}{l}\phantom{7280000)}0000000\phantom{14}\\7280000\overline{)60220000}\\\end{array}
Since 6022000 is less than 7280000, use the next digit 0 from dividend 60220000 and add 0 to the quotient
\begin{array}{l}\phantom{7280000)}0000000\phantom{15}\\7280000\overline{)60220000}\\\end{array}
Use the 8^{th} digit 0 from dividend 60220000
\begin{array}{l}\phantom{7280000)}00000008\phantom{16}\\7280000\overline{)60220000}\\\phantom{7280000)}\underline{\phantom{}58240000\phantom{}}\\\phantom{7280000)9}1980000\\\end{array}
Find closest multiple of 7280000 to 60220000. We see that 8 \times 7280000 = 58240000 is the nearest. Now subtract 58240000 from 60220000 to get reminder 1980000. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }1980000
Since 1980000 is less than 7280000, stop the division. The reminder is 1980000. The topmost line 00000008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}