Evaluate
\frac{2886}{1375}\approx 2.098909091
Factor
\frac{2 \cdot 3 \cdot 13 \cdot 37}{5 ^ {3} \cdot 11} = 2\frac{136}{1375} = 2.098909090909091
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\begin{array}{l}\phantom{11000)}\phantom{1}\\11000\overline{)23088}\\\end{array}
Use the 1^{st} digit 2 from dividend 23088
\begin{array}{l}\phantom{11000)}0\phantom{2}\\11000\overline{)23088}\\\end{array}
Since 2 is less than 11000, use the next digit 3 from dividend 23088 and add 0 to the quotient
\begin{array}{l}\phantom{11000)}0\phantom{3}\\11000\overline{)23088}\\\end{array}
Use the 2^{nd} digit 3 from dividend 23088
\begin{array}{l}\phantom{11000)}00\phantom{4}\\11000\overline{)23088}\\\end{array}
Since 23 is less than 11000, use the next digit 0 from dividend 23088 and add 0 to the quotient
\begin{array}{l}\phantom{11000)}00\phantom{5}\\11000\overline{)23088}\\\end{array}
Use the 3^{rd} digit 0 from dividend 23088
\begin{array}{l}\phantom{11000)}000\phantom{6}\\11000\overline{)23088}\\\end{array}
Since 230 is less than 11000, use the next digit 8 from dividend 23088 and add 0 to the quotient
\begin{array}{l}\phantom{11000)}000\phantom{7}\\11000\overline{)23088}\\\end{array}
Use the 4^{th} digit 8 from dividend 23088
\begin{array}{l}\phantom{11000)}0000\phantom{8}\\11000\overline{)23088}\\\end{array}
Since 2308 is less than 11000, use the next digit 8 from dividend 23088 and add 0 to the quotient
\begin{array}{l}\phantom{11000)}0000\phantom{9}\\11000\overline{)23088}\\\end{array}
Use the 5^{th} digit 8 from dividend 23088
\begin{array}{l}\phantom{11000)}00002\phantom{10}\\11000\overline{)23088}\\\phantom{11000)}\underline{\phantom{}22000\phantom{}}\\\phantom{11000)9}1088\\\end{array}
Find closest multiple of 11000 to 23088. We see that 2 \times 11000 = 22000 is the nearest. Now subtract 22000 from 23088 to get reminder 1088. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }1088
Since 1088 is less than 11000, stop the division. The reminder is 1088. The topmost line 00002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}