6. (10 points) In the division equation, the dividend is 2016, and the remainder is 7, then the number of divisors that satisfy the equation is ( ).
A. 3
B. 4
C. 5
D. 6
【Analysis】Divisor $\times$ Quotient $=2016-7=2009$, then factorize 2009, and according to the remainder being less than the divisor, the number of divisors that satisfy the equation can be determined.

【Solution】Solution: $2016-7=2009$,
$$
2009=7 \times 287=49 \times 41=1 \times 2009
$$

So the divisors that satisfy the equation are: 287, 49, 41, 2009, a total of 4;
Answer: There are 4 divisors that satisfy the equation.
Therefore, the correct choice is: B.