for numbers greater than or equal to 14! , we have them divisible by 14.

also 7!,  8!, .... ,13! are divisible by both 2 and 7 hence divisible by 14.

so we just need to find the remainder when

1! + 2! + 3! + 4! + 5! + 6! is divided by 14.

1 + 2 + 6 + 24 + 120 + 720 = 873.

and 873-5 is divisible y 14.

answer is 5...