Answer :

Well, 6 goes into 6647 a little more than 1107 times (exact: 1107.8333333....).
Try breaking up 1107 like this: 11 and 07.
11 multiplied by 6 is 66.
7 multiplied by 6 equals 42, 42 plus six equals 48, minus 1 is 47.
I hope this helped, even I must admit that question is odd and difficult. I appologize if my answer is incorrect, as the fundamentals supporting my reasoning are unstable themselves.
'what is the relationship between the 6's in the number 6647'

I think that it is asking you to find out the difference between 6000 and 600.
in this case 6000 is 10 times of 600