Evaluate
\frac{570}{211}\approx 2.701421801
Factor
\frac{2 \cdot 3 \cdot 5 \cdot 19}{211} = 2\frac{148}{211} = 2.7014218009478674
Share
Copied to clipboard
\begin{array}{l}\phantom{1055)}\phantom{1}\\1055\overline{)2850}\\\end{array}
Use the 1^{st} digit 2 from dividend 2850
\begin{array}{l}\phantom{1055)}0\phantom{2}\\1055\overline{)2850}\\\end{array}
Since 2 is less than 1055, use the next digit 8 from dividend 2850 and add 0 to the quotient
\begin{array}{l}\phantom{1055)}0\phantom{3}\\1055\overline{)2850}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2850
\begin{array}{l}\phantom{1055)}00\phantom{4}\\1055\overline{)2850}\\\end{array}
Since 28 is less than 1055, use the next digit 5 from dividend 2850 and add 0 to the quotient
\begin{array}{l}\phantom{1055)}00\phantom{5}\\1055\overline{)2850}\\\end{array}
Use the 3^{rd} digit 5 from dividend 2850
\begin{array}{l}\phantom{1055)}000\phantom{6}\\1055\overline{)2850}\\\end{array}
Since 285 is less than 1055, use the next digit 0 from dividend 2850 and add 0 to the quotient
\begin{array}{l}\phantom{1055)}000\phantom{7}\\1055\overline{)2850}\\\end{array}
Use the 4^{th} digit 0 from dividend 2850
\begin{array}{l}\phantom{1055)}0002\phantom{8}\\1055\overline{)2850}\\\phantom{1055)}\underline{\phantom{}2110\phantom{}}\\\phantom{1055)9}740\\\end{array}
Find closest multiple of 1055 to 2850. We see that 2 \times 1055 = 2110 is the nearest. Now subtract 2110 from 2850 to get reminder 740. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }740
Since 740 is less than 1055, stop the division. The reminder is 740. The topmost line 0002 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}