3-2. Calculate the sum

$$
S=\frac{2013}{2 \cdot 6}+\frac{2013}{6 \cdot 10}+\frac{2013}{10 \cdot 14}+\ldots+\frac{2013}{2010 \cdot 2014}
$$

In your answer, specify the remainder when the nearest even number to the obtained value of $S$ is divided by 5.
Answer: 2. (C)

Options.

$$
\begin{array}{|l|l|l|l|l|l|l|l|l|}
\hline \mathbf{A} & 0 & \mathbf{B} & 1 & \mathbf{C} & 2 & \mathbf{D} & 3 & \mathbf{E} \\
4 & \mathbf{F} \\
\hline
\end{array}
$$