You are trying to find C = A/[5.55 +- 0.02].
Now factorize this and we get:
C = [A/5.55]/[1 +- 0.02/5.55]
Let X = A/5.55, R = 0.02/5.55: Now you have something in the form of
C = X * [1 / (1 +- R)].
So in terms of standard errors this is what you have.
However: if you want to look at the above quantity in terms of a distribution then you need to find the PDF of the ratio of those two variables and if A and B are normal then you will get a Normal Ratio Distribution.