Evaluate
\frac{111111}{11366}\approx 9.775734647
Factor
\frac{3 \cdot 7 \cdot 11 \cdot 13 \cdot 37}{2 \cdot 5683} = 9\frac{8817}{11366} = 9.775734647193383
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\begin{array}{l}\phantom{22732)}\phantom{1}\\22732\overline{)222222}\\\end{array}
Use the 1^{st} digit 2 from dividend 222222
\begin{array}{l}\phantom{22732)}0\phantom{2}\\22732\overline{)222222}\\\end{array}
Since 2 is less than 22732, use the next digit 2 from dividend 222222 and add 0 to the quotient
\begin{array}{l}\phantom{22732)}0\phantom{3}\\22732\overline{)222222}\\\end{array}
Use the 2^{nd} digit 2 from dividend 222222
\begin{array}{l}\phantom{22732)}00\phantom{4}\\22732\overline{)222222}\\\end{array}
Since 22 is less than 22732, use the next digit 2 from dividend 222222 and add 0 to the quotient
\begin{array}{l}\phantom{22732)}00\phantom{5}\\22732\overline{)222222}\\\end{array}
Use the 3^{rd} digit 2 from dividend 222222
\begin{array}{l}\phantom{22732)}000\phantom{6}\\22732\overline{)222222}\\\end{array}
Since 222 is less than 22732, use the next digit 2 from dividend 222222 and add 0 to the quotient
\begin{array}{l}\phantom{22732)}000\phantom{7}\\22732\overline{)222222}\\\end{array}
Use the 4^{th} digit 2 from dividend 222222
\begin{array}{l}\phantom{22732)}0000\phantom{8}\\22732\overline{)222222}\\\end{array}
Since 2222 is less than 22732, use the next digit 2 from dividend 222222 and add 0 to the quotient
\begin{array}{l}\phantom{22732)}0000\phantom{9}\\22732\overline{)222222}\\\end{array}
Use the 5^{th} digit 2 from dividend 222222
\begin{array}{l}\phantom{22732)}00000\phantom{10}\\22732\overline{)222222}\\\end{array}
Since 22222 is less than 22732, use the next digit 2 from dividend 222222 and add 0 to the quotient
\begin{array}{l}\phantom{22732)}00000\phantom{11}\\22732\overline{)222222}\\\end{array}
Use the 6^{th} digit 2 from dividend 222222
\begin{array}{l}\phantom{22732)}000009\phantom{12}\\22732\overline{)222222}\\\phantom{22732)}\underline{\phantom{}204588\phantom{}}\\\phantom{22732)9}17634\\\end{array}
Find closest multiple of 22732 to 222222. We see that 9 \times 22732 = 204588 is the nearest. Now subtract 204588 from 222222 to get reminder 17634. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }17634
Since 17634 is less than 22732, stop the division. The reminder is 17634. The topmost line 000009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}