People were used to inflation, and prices would go up as a regular practice. Indexing prices using URV, all prices would increase in a regular pace, all prices

People were used to inflation, and prices would go up as a regular practice. Indexing prices using URV, all prices would increase in a regular pace, all prices together, and inflationary pressure would lose the irregularity (no more uneven increases, that anyone would compensate in the next step). After a while, just rename this fake money to "real", and you have Brazil with its long-surviving money.