Evaluate
\frac{12333200}{37}\approx 333329.72972973
Factor
\frac{2 ^ {4} \cdot 5 ^ {2} \cdot 11 \cdot 2803}{37} = 333329\frac{27}{37} = 333329.7297297297
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\begin{array}{l}\phantom{222)}\phantom{1}\\222\overline{)73999200}\\\end{array}
Use the 1^{st} digit 7 from dividend 73999200
\begin{array}{l}\phantom{222)}0\phantom{2}\\222\overline{)73999200}\\\end{array}
Since 7 is less than 222, use the next digit 3 from dividend 73999200 and add 0 to the quotient
\begin{array}{l}\phantom{222)}0\phantom{3}\\222\overline{)73999200}\\\end{array}
Use the 2^{nd} digit 3 from dividend 73999200
\begin{array}{l}\phantom{222)}00\phantom{4}\\222\overline{)73999200}\\\end{array}
Since 73 is less than 222, use the next digit 9 from dividend 73999200 and add 0 to the quotient
\begin{array}{l}\phantom{222)}00\phantom{5}\\222\overline{)73999200}\\\end{array}
Use the 3^{rd} digit 9 from dividend 73999200
\begin{array}{l}\phantom{222)}003\phantom{6}\\222\overline{)73999200}\\\phantom{222)}\underline{\phantom{}666\phantom{99999}}\\\phantom{222)9}73\\\end{array}
Find closest multiple of 222 to 739. We see that 3 \times 222 = 666 is the nearest. Now subtract 666 from 739 to get reminder 73. Add 3 to quotient.
\begin{array}{l}\phantom{222)}003\phantom{7}\\222\overline{)73999200}\\\phantom{222)}\underline{\phantom{}666\phantom{99999}}\\\phantom{222)9}739\\\end{array}
Use the 4^{th} digit 9 from dividend 73999200
\begin{array}{l}\phantom{222)}0033\phantom{8}\\222\overline{)73999200}\\\phantom{222)}\underline{\phantom{}666\phantom{99999}}\\\phantom{222)9}739\\\phantom{222)}\underline{\phantom{9}666\phantom{9999}}\\\phantom{222)99}73\\\end{array}
Find closest multiple of 222 to 739. We see that 3 \times 222 = 666 is the nearest. Now subtract 666 from 739 to get reminder 73. Add 3 to quotient.
\begin{array}{l}\phantom{222)}0033\phantom{9}\\222\overline{)73999200}\\\phantom{222)}\underline{\phantom{}666\phantom{99999}}\\\phantom{222)9}739\\\phantom{222)}\underline{\phantom{9}666\phantom{9999}}\\\phantom{222)99}739\\\end{array}
Use the 5^{th} digit 9 from dividend 73999200
\begin{array}{l}\phantom{222)}00333\phantom{10}\\222\overline{)73999200}\\\phantom{222)}\underline{\phantom{}666\phantom{99999}}\\\phantom{222)9}739\\\phantom{222)}\underline{\phantom{9}666\phantom{9999}}\\\phantom{222)99}739\\\phantom{222)}\underline{\phantom{99}666\phantom{999}}\\\phantom{222)999}73\\\end{array}
Find closest multiple of 222 to 739. We see that 3 \times 222 = 666 is the nearest. Now subtract 666 from 739 to get reminder 73. Add 3 to quotient.
\begin{array}{l}\phantom{222)}00333\phantom{11}\\222\overline{)73999200}\\\phantom{222)}\underline{\phantom{}666\phantom{99999}}\\\phantom{222)9}739\\\phantom{222)}\underline{\phantom{9}666\phantom{9999}}\\\phantom{222)99}739\\\phantom{222)}\underline{\phantom{99}666\phantom{999}}\\\phantom{222)999}732\\\end{array}
Use the 6^{th} digit 2 from dividend 73999200
\begin{array}{l}\phantom{222)}003333\phantom{12}\\222\overline{)73999200}\\\phantom{222)}\underline{\phantom{}666\phantom{99999}}\\\phantom{222)9}739\\\phantom{222)}\underline{\phantom{9}666\phantom{9999}}\\\phantom{222)99}739\\\phantom{222)}\underline{\phantom{99}666\phantom{999}}\\\phantom{222)999}732\\\phantom{222)}\underline{\phantom{999}666\phantom{99}}\\\phantom{222)9999}66\\\end{array}
Find closest multiple of 222 to 732. We see that 3 \times 222 = 666 is the nearest. Now subtract 666 from 732 to get reminder 66. Add 3 to quotient.
\begin{array}{l}\phantom{222)}003333\phantom{13}\\222\overline{)73999200}\\\phantom{222)}\underline{\phantom{}666\phantom{99999}}\\\phantom{222)9}739\\\phantom{222)}\underline{\phantom{9}666\phantom{9999}}\\\phantom{222)99}739\\\phantom{222)}\underline{\phantom{99}666\phantom{999}}\\\phantom{222)999}732\\\phantom{222)}\underline{\phantom{999}666\phantom{99}}\\\phantom{222)9999}660\\\end{array}
Use the 7^{th} digit 0 from dividend 73999200
\begin{array}{l}\phantom{222)}0033332\phantom{14}\\222\overline{)73999200}\\\phantom{222)}\underline{\phantom{}666\phantom{99999}}\\\phantom{222)9}739\\\phantom{222)}\underline{\phantom{9}666\phantom{9999}}\\\phantom{222)99}739\\\phantom{222)}\underline{\phantom{99}666\phantom{999}}\\\phantom{222)999}732\\\phantom{222)}\underline{\phantom{999}666\phantom{99}}\\\phantom{222)9999}660\\\phantom{222)}\underline{\phantom{9999}444\phantom{9}}\\\phantom{222)9999}216\\\end{array}
Find closest multiple of 222 to 660. We see that 2 \times 222 = 444 is the nearest. Now subtract 444 from 660 to get reminder 216. Add 2 to quotient.
\begin{array}{l}\phantom{222)}0033332\phantom{15}\\222\overline{)73999200}\\\phantom{222)}\underline{\phantom{}666\phantom{99999}}\\\phantom{222)9}739\\\phantom{222)}\underline{\phantom{9}666\phantom{9999}}\\\phantom{222)99}739\\\phantom{222)}\underline{\phantom{99}666\phantom{999}}\\\phantom{222)999}732\\\phantom{222)}\underline{\phantom{999}666\phantom{99}}\\\phantom{222)9999}660\\\phantom{222)}\underline{\phantom{9999}444\phantom{9}}\\\phantom{222)9999}2160\\\end{array}
Use the 8^{th} digit 0 from dividend 73999200
\begin{array}{l}\phantom{222)}00333329\phantom{16}\\222\overline{)73999200}\\\phantom{222)}\underline{\phantom{}666\phantom{99999}}\\\phantom{222)9}739\\\phantom{222)}\underline{\phantom{9}666\phantom{9999}}\\\phantom{222)99}739\\\phantom{222)}\underline{\phantom{99}666\phantom{999}}\\\phantom{222)999}732\\\phantom{222)}\underline{\phantom{999}666\phantom{99}}\\\phantom{222)9999}660\\\phantom{222)}\underline{\phantom{9999}444\phantom{9}}\\\phantom{222)9999}2160\\\phantom{222)}\underline{\phantom{9999}1998\phantom{}}\\\phantom{222)99999}162\\\end{array}
Find closest multiple of 222 to 2160. We see that 9 \times 222 = 1998 is the nearest. Now subtract 1998 from 2160 to get reminder 162. Add 9 to quotient.
\text{Quotient: }333329 \text{Reminder: }162
Since 162 is less than 222, stop the division. The reminder is 162. The topmost line 00333329 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 333329.
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}