Evaluate
\frac{855}{571}\approx 1.49737303
Factor
\frac{3 ^ {2} \cdot 5 \cdot 19}{571} = 1\frac{284}{571} = 1.4973730297723293
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\begin{array}{l}\phantom{571)}\phantom{1}\\571\overline{)855}\\\end{array}
Use the 1^{st} digit 8 from dividend 855
\begin{array}{l}\phantom{571)}0\phantom{2}\\571\overline{)855}\\\end{array}
Since 8 is less than 571, use the next digit 5 from dividend 855 and add 0 to the quotient
\begin{array}{l}\phantom{571)}0\phantom{3}\\571\overline{)855}\\\end{array}
Use the 2^{nd} digit 5 from dividend 855
\begin{array}{l}\phantom{571)}00\phantom{4}\\571\overline{)855}\\\end{array}
Since 85 is less than 571, use the next digit 5 from dividend 855 and add 0 to the quotient
\begin{array}{l}\phantom{571)}00\phantom{5}\\571\overline{)855}\\\end{array}
Use the 3^{rd} digit 5 from dividend 855
\begin{array}{l}\phantom{571)}001\phantom{6}\\571\overline{)855}\\\phantom{571)}\underline{\phantom{}571\phantom{}}\\\phantom{571)}284\\\end{array}
Find closest multiple of 571 to 855. We see that 1 \times 571 = 571 is the nearest. Now subtract 571 from 855 to get reminder 284. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }284
Since 284 is less than 571, stop the division. The reminder is 284. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}