Evaluate
\frac{24}{11}\approx 2.181818182
Factor
\frac{2 ^ {3} \cdot 3}{11} = 2\frac{2}{11} = 2.1818181818181817
Share
Copied to clipboard
\begin{array}{l}\phantom{275)}\phantom{1}\\275\overline{)600}\\\end{array}
Use the 1^{st} digit 6 from dividend 600
\begin{array}{l}\phantom{275)}0\phantom{2}\\275\overline{)600}\\\end{array}
Since 6 is less than 275, use the next digit 0 from dividend 600 and add 0 to the quotient
\begin{array}{l}\phantom{275)}0\phantom{3}\\275\overline{)600}\\\end{array}
Use the 2^{nd} digit 0 from dividend 600
\begin{array}{l}\phantom{275)}00\phantom{4}\\275\overline{)600}\\\end{array}
Since 60 is less than 275, use the next digit 0 from dividend 600 and add 0 to the quotient
\begin{array}{l}\phantom{275)}00\phantom{5}\\275\overline{)600}\\\end{array}
Use the 3^{rd} digit 0 from dividend 600
\begin{array}{l}\phantom{275)}002\phantom{6}\\275\overline{)600}\\\phantom{275)}\underline{\phantom{}550\phantom{}}\\\phantom{275)9}50\\\end{array}
Find closest multiple of 275 to 600. We see that 2 \times 275 = 550 is the nearest. Now subtract 550 from 600 to get reminder 50. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }50
Since 50 is less than 275, stop the division. The reminder is 50. The topmost line 002 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}