Evaluate
\frac{180}{19}\approx 9.473684211
Factor
\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 5}{19} = 9\frac{9}{19} = 9.473684210526315
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\begin{array}{l}\phantom{2850)}\phantom{1}\\2850\overline{)27000}\\\end{array}
Use the 1^{st} digit 2 from dividend 27000
\begin{array}{l}\phantom{2850)}0\phantom{2}\\2850\overline{)27000}\\\end{array}
Since 2 is less than 2850, use the next digit 7 from dividend 27000 and add 0 to the quotient
\begin{array}{l}\phantom{2850)}0\phantom{3}\\2850\overline{)27000}\\\end{array}
Use the 2^{nd} digit 7 from dividend 27000
\begin{array}{l}\phantom{2850)}00\phantom{4}\\2850\overline{)27000}\\\end{array}
Since 27 is less than 2850, use the next digit 0 from dividend 27000 and add 0 to the quotient
\begin{array}{l}\phantom{2850)}00\phantom{5}\\2850\overline{)27000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 27000
\begin{array}{l}\phantom{2850)}000\phantom{6}\\2850\overline{)27000}\\\end{array}
Since 270 is less than 2850, use the next digit 0 from dividend 27000 and add 0 to the quotient
\begin{array}{l}\phantom{2850)}000\phantom{7}\\2850\overline{)27000}\\\end{array}
Use the 4^{th} digit 0 from dividend 27000
\begin{array}{l}\phantom{2850)}0000\phantom{8}\\2850\overline{)27000}\\\end{array}
Since 2700 is less than 2850, use the next digit 0 from dividend 27000 and add 0 to the quotient
\begin{array}{l}\phantom{2850)}0000\phantom{9}\\2850\overline{)27000}\\\end{array}
Use the 5^{th} digit 0 from dividend 27000
\begin{array}{l}\phantom{2850)}00009\phantom{10}\\2850\overline{)27000}\\\phantom{2850)}\underline{\phantom{}25650\phantom{}}\\\phantom{2850)9}1350\\\end{array}
Find closest multiple of 2850 to 27000. We see that 9 \times 2850 = 25650 is the nearest. Now subtract 25650 from 27000 to get reminder 1350. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }1350
Since 1350 is less than 2850, stop the division. The reminder is 1350. The topmost line 00009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}