Wa `alaykum As-Salamu wa Rahmatullahi wa Barakatuh
If legal divorce is not final yet, and you did not divorce her the Sharia`ah way, then she is still your wife.
This also will depend on the type of legal divorce you spoke about. Intentions alone do not define marriage and life liabilities toward each other as spouses.
Many Muslims who live in non-Islamic countries need the legal law to protect their rights.
Any legal divorce (that will prevent spouses from detailed rights, during marriage or in case of death of any spouse) is applied to us as final divorce under the term of Ba’in Baynoonah Sughra. That means you cannot reconcile back with the spouse except with a new marriage contract and new Mahr.
My suggestion since you want to go back to each other is to end the divorce process period since it is not final.
Almighty Allah knows best.
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