Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
There is no doubt that the forgery you have done is forbidden and requires repentance because it entails many prohibitions such as:
1. Lying: the prophet (Sallalahu Alahi Wa Sallam) said:" Beware of lying, because telling lies leads to wickedness and evil-doing." Reported by Imam Muslim and Ahl Al Sunan.
2. Cheating: the prophet (Sallalahu Alahi Wa Sallam) said:" Whoever cheats is not of us."
In addition, forging documents could spoil the rights of the couple in case one of them dies, to the authorities they are not husband and wife; so the right to inheritance will be lost.
Moreover, you could find difficulties in registering the children, and so on.
As regards the writing of the word divorce by the husband, the people of knowledge differ about whether it is considered as a divorce or not.
However, if the husband intended divorce when writing the word divorce, then it is divorce, this is the opinion of Imam Malik, Al shafie, Abu Hanifa and others. And even if he did not intend it when writing the word, it is still considered by some of them as divorce. But some others say that it does not take place except if he intended it, and this is the opinion of Abu Hanifa, and Malik, and it is clearly expressed by Al Shafie.
Anyway forging divorce on papers should not be done.
What to do now is that we advise you to return the papers to their initial status stating, that you are your actual husband's wife and you should repent to Allah seek forgiveness as much as possible and perform good deeds, and Allah is the Oft-Forgiving and He is Merciful towards His slaves. Allah likes those who repent and seek forgiveness from Him. You have to know as well that residing in a Kafir (non-Muslim) country is not permissible except for a necessity or a need that is religiously considered, especially if the Muslim cannot carry out his religious rites. Please refer to Fatwa: 81142 and 81642.
Allah knows best.