Alphanumeric Puzzle: GOLD.EN/RING=I.DO?

Question

10 points go to the first solver who finds the unique solution.

Answer 1

GOLD.EN / RING = I.DO
4 39 7.5 2 / 6024 = 0.73

That's the only thing I'm getting that works. If that's the solution you have, then that I = 0 was really below the belt.

My logical process was:

1) G and O cannot be 0,1,5 otherwise N would be zero or a repeat of G or O.
With that, we could now remove the decimal point and solve
GOLDEN = RING * IDO

2) Then test G = 9 and so on. For each test, find the possible values of D that would give a solution within range. Then find pairs of values for N and O that offer a unique solution.

3) Unless I missed something, I was not getting anything to work. So it occurred to me that "I" could be zero.
With I = 0, the problem now became
GOLDEN = R0NG * DO
Where G < R, D
Then again, try to find pairs of values for N and O that gave a unique result.

4) Finally I got a solution for G = 4.

Answer 2

Whew... this is a toughie.

The only useful thing that I've been able to assess so far (if my logic is correct) is that I<=5 and G>=3.

It would be nice to see how this one should be worked out (other than brute force!)