Evaluate
\frac{89}{10}=8.9
Factor
\frac{89}{2 \cdot 5} = 8\frac{9}{10} = 8.9
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\begin{array}{l}\phantom{9000)}\phantom{1}\\9000\overline{)80100}\\\end{array}
Use the 1^{st} digit 8 from dividend 80100
\begin{array}{l}\phantom{9000)}0\phantom{2}\\9000\overline{)80100}\\\end{array}
Since 8 is less than 9000, use the next digit 0 from dividend 80100 and add 0 to the quotient
\begin{array}{l}\phantom{9000)}0\phantom{3}\\9000\overline{)80100}\\\end{array}
Use the 2^{nd} digit 0 from dividend 80100
\begin{array}{l}\phantom{9000)}00\phantom{4}\\9000\overline{)80100}\\\end{array}
Since 80 is less than 9000, use the next digit 1 from dividend 80100 and add 0 to the quotient
\begin{array}{l}\phantom{9000)}00\phantom{5}\\9000\overline{)80100}\\\end{array}
Use the 3^{rd} digit 1 from dividend 80100
\begin{array}{l}\phantom{9000)}000\phantom{6}\\9000\overline{)80100}\\\end{array}
Since 801 is less than 9000, use the next digit 0 from dividend 80100 and add 0 to the quotient
\begin{array}{l}\phantom{9000)}000\phantom{7}\\9000\overline{)80100}\\\end{array}
Use the 4^{th} digit 0 from dividend 80100
\begin{array}{l}\phantom{9000)}0000\phantom{8}\\9000\overline{)80100}\\\end{array}
Since 8010 is less than 9000, use the next digit 0 from dividend 80100 and add 0 to the quotient
\begin{array}{l}\phantom{9000)}0000\phantom{9}\\9000\overline{)80100}\\\end{array}
Use the 5^{th} digit 0 from dividend 80100
\begin{array}{l}\phantom{9000)}00008\phantom{10}\\9000\overline{)80100}\\\phantom{9000)}\underline{\phantom{}72000\phantom{}}\\\phantom{9000)9}8100\\\end{array}
Find closest multiple of 9000 to 80100. We see that 8 \times 9000 = 72000 is the nearest. Now subtract 72000 from 80100 to get reminder 8100. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }8100
Since 8100 is less than 9000, stop the division. The reminder is 8100. The topmost line 00008 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}