[tex]\displaystyle\\
\frac{1\times2\times3\times \cdots\times2016\times2017\times2018+2018}{2017} = \\\\
=\frac{1\times2\times3\times \cdots\times2016\times2017\times2018}{2017} + \frac{2018}{2017} \\\\
\text{Prima fractie se simplifica cu 2017 si restul este zero.}\\\\
\text{A doua fractie: } ~~ \frac{2018}{2017} = 2018 : 2017 = 1 \text{ rest } 1 \\\\
\Longrightarrow~~\text{Impartirea }~~ a : 2017~~\text{are restul = 1}.
[/tex]
