You will be responsible to repay 100% of any debts in your own name.
If there are any debts that you enter into under a joint arrangement, at that point both parties are equally liable for the full debt amount. This is written into most, if not all, financial agreements and the term is known as ‘joint and several liability’.
Where possible, it is always best to come to a fair agreement with the other person in the divorce. Simply ignoring it probably won't work unless the other person takes full responsibility.
However, this is typically unlikely and will inevitably cause more stress in the long term.
In practical terms, this isn't always possible as many relationships tend to end on bad terms.