What is my duty if I intend to divorce my wife due to the impossibility of life together, because she does not take responsibility and her family interferes?

What you mentioned in your statement, "each one of us goes their own way," could mean two things:

1. If you intended it as a promise of future divorce without the intention of effecting it with this wording, then nothing is binding upon you, because fulfilling a promise of divorce is neither recommended nor obligatory.

2. If you intended to effect a divorce with this phrase, then it is binding because it is one of the ambiguous expressions of divorce (kinayat al-talaq), and an ambiguous expression, if intended as a divorce, constitutes a divorce. If you repeated this phrase intending divorce, the divorce is not repeated upon you unless you intended its repetition, and you may revoke it (refer to her) if this divorce does not complete the three divorces.

However, if this phrase did not emanate from you, then no divorce is binding upon you by it, even if you intended it, because divorce is not binding merely by intention.