Evaluate
\frac{27557833}{55608}\approx 495.573172925
Factor
\frac{17 \cdot 1621049}{2 ^ {3} \cdot 3 \cdot 7 \cdot 331} = 495\frac{31873}{55608} = 495.57317292475904
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\begin{array}{l}\phantom{111216)}\phantom{1}\\111216\overline{)55115666}\\\end{array}
Use the 1^{st} digit 5 from dividend 55115666
\begin{array}{l}\phantom{111216)}0\phantom{2}\\111216\overline{)55115666}\\\end{array}
Since 5 is less than 111216, use the next digit 5 from dividend 55115666 and add 0 to the quotient
\begin{array}{l}\phantom{111216)}0\phantom{3}\\111216\overline{)55115666}\\\end{array}
Use the 2^{nd} digit 5 from dividend 55115666
\begin{array}{l}\phantom{111216)}00\phantom{4}\\111216\overline{)55115666}\\\end{array}
Since 55 is less than 111216, use the next digit 1 from dividend 55115666 and add 0 to the quotient
\begin{array}{l}\phantom{111216)}00\phantom{5}\\111216\overline{)55115666}\\\end{array}
Use the 3^{rd} digit 1 from dividend 55115666
\begin{array}{l}\phantom{111216)}000\phantom{6}\\111216\overline{)55115666}\\\end{array}
Since 551 is less than 111216, use the next digit 1 from dividend 55115666 and add 0 to the quotient
\begin{array}{l}\phantom{111216)}000\phantom{7}\\111216\overline{)55115666}\\\end{array}
Use the 4^{th} digit 1 from dividend 55115666
\begin{array}{l}\phantom{111216)}0000\phantom{8}\\111216\overline{)55115666}\\\end{array}
Since 5511 is less than 111216, use the next digit 5 from dividend 55115666 and add 0 to the quotient
\begin{array}{l}\phantom{111216)}0000\phantom{9}\\111216\overline{)55115666}\\\end{array}
Use the 5^{th} digit 5 from dividend 55115666
\begin{array}{l}\phantom{111216)}00000\phantom{10}\\111216\overline{)55115666}\\\end{array}
Since 55115 is less than 111216, use the next digit 6 from dividend 55115666 and add 0 to the quotient
\begin{array}{l}\phantom{111216)}00000\phantom{11}\\111216\overline{)55115666}\\\end{array}
Use the 6^{th} digit 6 from dividend 55115666
\begin{array}{l}\phantom{111216)}000004\phantom{12}\\111216\overline{)55115666}\\\phantom{111216)}\underline{\phantom{}444864\phantom{99}}\\\phantom{111216)}106292\\\end{array}
Find closest multiple of 111216 to 551156. We see that 4 \times 111216 = 444864 is the nearest. Now subtract 444864 from 551156 to get reminder 106292. Add 4 to quotient.
\begin{array}{l}\phantom{111216)}000004\phantom{13}\\111216\overline{)55115666}\\\phantom{111216)}\underline{\phantom{}444864\phantom{99}}\\\phantom{111216)}1062926\\\end{array}
Use the 7^{th} digit 6 from dividend 55115666
\begin{array}{l}\phantom{111216)}0000049\phantom{14}\\111216\overline{)55115666}\\\phantom{111216)}\underline{\phantom{}444864\phantom{99}}\\\phantom{111216)}1062926\\\phantom{111216)}\underline{\phantom{}1000944\phantom{9}}\\\phantom{111216)99}61982\\\end{array}
Find closest multiple of 111216 to 1062926. We see that 9 \times 111216 = 1000944 is the nearest. Now subtract 1000944 from 1062926 to get reminder 61982. Add 9 to quotient.
\begin{array}{l}\phantom{111216)}0000049\phantom{15}\\111216\overline{)55115666}\\\phantom{111216)}\underline{\phantom{}444864\phantom{99}}\\\phantom{111216)}1062926\\\phantom{111216)}\underline{\phantom{}1000944\phantom{9}}\\\phantom{111216)99}619826\\\end{array}
Use the 8^{th} digit 6 from dividend 55115666
\begin{array}{l}\phantom{111216)}00000495\phantom{16}\\111216\overline{)55115666}\\\phantom{111216)}\underline{\phantom{}444864\phantom{99}}\\\phantom{111216)}1062926\\\phantom{111216)}\underline{\phantom{}1000944\phantom{9}}\\\phantom{111216)99}619826\\\phantom{111216)}\underline{\phantom{99}556080\phantom{}}\\\phantom{111216)999}63746\\\end{array}
Find closest multiple of 111216 to 619826. We see that 5 \times 111216 = 556080 is the nearest. Now subtract 556080 from 619826 to get reminder 63746. Add 5 to quotient.
\text{Quotient: }495 \text{Reminder: }63746
Since 63746 is less than 111216, stop the division. The reminder is 63746. The topmost line 00000495 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 495.
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}