To get this trophy, the bank must run out of houses (not hotels) and have none left to sell. This requires that there be at least 3 monopolies on the board since each property can have four houses and the most number of properties a monopoly can have is three.
You can make this pretty easy by making a two player game, control both players, auction the properties as you land on them for $11 each, and then trade money and properties to player one. Once you have enough monopolies, build up the houses, and reap the rewards.
Keep in mind that buying a hotel will put the four houses on that property back in to the bank.
Because of its nature, this trophy can pretty easily be done alongside the "Now We Can Play" trophy and the "Business Master" trophy.