Evaluate
99
Factor
3^{2}\times 11
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\begin{array}{l}\phantom{89)}\phantom{1}\\89\overline{)8811}\\\end{array}
Use the 1^{st} digit 8 from dividend 8811
\begin{array}{l}\phantom{89)}0\phantom{2}\\89\overline{)8811}\\\end{array}
Since 8 is less than 89, use the next digit 8 from dividend 8811 and add 0 to the quotient
\begin{array}{l}\phantom{89)}0\phantom{3}\\89\overline{)8811}\\\end{array}
Use the 2^{nd} digit 8 from dividend 8811
\begin{array}{l}\phantom{89)}00\phantom{4}\\89\overline{)8811}\\\end{array}
Since 88 is less than 89, use the next digit 1 from dividend 8811 and add 0 to the quotient
\begin{array}{l}\phantom{89)}00\phantom{5}\\89\overline{)8811}\\\end{array}
Use the 3^{rd} digit 1 from dividend 8811
\begin{array}{l}\phantom{89)}009\phantom{6}\\89\overline{)8811}\\\phantom{89)}\underline{\phantom{}801\phantom{9}}\\\phantom{89)9}80\\\end{array}
Find closest multiple of 89 to 881. We see that 9 \times 89 = 801 is the nearest. Now subtract 801 from 881 to get reminder 80. Add 9 to quotient.
\begin{array}{l}\phantom{89)}009\phantom{7}\\89\overline{)8811}\\\phantom{89)}\underline{\phantom{}801\phantom{9}}\\\phantom{89)9}801\\\end{array}
Use the 4^{th} digit 1 from dividend 8811
\begin{array}{l}\phantom{89)}0099\phantom{8}\\89\overline{)8811}\\\phantom{89)}\underline{\phantom{}801\phantom{9}}\\\phantom{89)9}801\\\phantom{89)}\underline{\phantom{9}801\phantom{}}\\\phantom{89)9999}0\\\end{array}
Find closest multiple of 89 to 801. We see that 9 \times 89 = 801 is the nearest. Now subtract 801 from 801 to get reminder 0. Add 9 to quotient.
\text{Quotient: }99 \text{Reminder: }0
Since 0 is less than 89, stop the division. The reminder is 0. The topmost line 0099 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 99.
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}