Evaluate
\frac{88888}{9999}\approx 8.889688969
Factor
\frac{2 ^ {3} \cdot 41 \cdot 271}{3 ^ {2} \cdot 11 \cdot 101} = 8\frac{8896}{9999} = 8.88968896889689
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\begin{array}{l}\phantom{9999)}\phantom{1}\\9999\overline{)88888}\\\end{array}
Use the 1^{st} digit 8 from dividend 88888
\begin{array}{l}\phantom{9999)}0\phantom{2}\\9999\overline{)88888}\\\end{array}
Since 8 is less than 9999, use the next digit 8 from dividend 88888 and add 0 to the quotient
\begin{array}{l}\phantom{9999)}0\phantom{3}\\9999\overline{)88888}\\\end{array}
Use the 2^{nd} digit 8 from dividend 88888
\begin{array}{l}\phantom{9999)}00\phantom{4}\\9999\overline{)88888}\\\end{array}
Since 88 is less than 9999, use the next digit 8 from dividend 88888 and add 0 to the quotient
\begin{array}{l}\phantom{9999)}00\phantom{5}\\9999\overline{)88888}\\\end{array}
Use the 3^{rd} digit 8 from dividend 88888
\begin{array}{l}\phantom{9999)}000\phantom{6}\\9999\overline{)88888}\\\end{array}
Since 888 is less than 9999, use the next digit 8 from dividend 88888 and add 0 to the quotient
\begin{array}{l}\phantom{9999)}000\phantom{7}\\9999\overline{)88888}\\\end{array}
Use the 4^{th} digit 8 from dividend 88888
\begin{array}{l}\phantom{9999)}0000\phantom{8}\\9999\overline{)88888}\\\end{array}
Since 8888 is less than 9999, use the next digit 8 from dividend 88888 and add 0 to the quotient
\begin{array}{l}\phantom{9999)}0000\phantom{9}\\9999\overline{)88888}\\\end{array}
Use the 5^{th} digit 8 from dividend 88888
\begin{array}{l}\phantom{9999)}00008\phantom{10}\\9999\overline{)88888}\\\phantom{9999)}\underline{\phantom{}79992\phantom{}}\\\phantom{9999)9}8896\\\end{array}
Find closest multiple of 9999 to 88888. We see that 8 \times 9999 = 79992 is the nearest. Now subtract 79992 from 88888 to get reminder 8896. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }8896
Since 8896 is less than 9999, stop the division. The reminder is 8896. The topmost line 00008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
Examples
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{ 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}