That's right. If you had to pay the excess on the policy when you made the claim, let's say it was �50, then you are �50 out of pocket and the other insurance company are reimbursing you.
If your insurance company have paid you out, they usually knock the policy excess off the amount that they pay you so in that case, they should get the cash from the other company.
It does not mean the claim was split 50/50, in fact as the other company are paying your excess, I would say that they are accepting liability.