The postal affairs minister, Paul Scully, announced in March that this group would be put on a level pegging to other victims of this scandal, but it took months to lay out the process for that to take place after years of fighting to prove their innocence.
An interim payment of 19.5 m will be paid until a final agreement is reached, which he hopes will go some way to helping many postmasters who are still facing hardships.
Some of the group had been given wrongful convictions and so are entitled to separate higher payouts, but the majority who lost their jobs, their businesses and their livelihoods have so far been excluded.
After mounting frustration, the payout has brought relief to many within the group, as they were strung along by promises from the minister without any details.
Freeths' solicitors, who represented the victims in the civil case, have been brought in by the government to speed up the process of getting full payments faster.
A Post Office spokeswoman said that the chief executive of the Post Office, Nick Read, had been urging the government to take action on this for some time and that Ensuring full, fair and final compensation for all Horizon Scandal victims is a priority as we put right the wrongs of the past. There was more information about progress for those who had their convictions overturned. Despite having their names cleared, no final settlements have been reached.
Many are old and many are still struggling financially after decades of bankruptcy for a crime they were not guilty of.
A neutral party has been appointed to come up with a plan to quantify the impact of the scandal, and the legal teams had been at such loggerheads on how to quantify the impact of the scandal.