The mechanics of sharing rent are simple. To collect rent, if fees or dues are used, then it becomes possible to abolish taxes. Replacing taxes with land dues and subsidies with rent dividends is the policy of geonomics. The reasons to abolish taxes are several, besides often being a case of paying something for nothing. They burden the poor more than the rich.
Taxes are expensive in that they reduce investment and employment.
If society chooses to abolish taxes, that would attract and impel more business, which would increase the value of their land and resources. Thus there'd be more rent for government to collect, perhaps more public revenue than before, to fund any desired services plus the Citizens Dividend. Some reformers prefer to retain taxes in order to take from the rich and give to the poor. This Robin Hood scenario has rarely happened in history. More efficient than trying to capture wealth downstream, after the elite has accumulated it, is to capture wealth upstream, preventing an elite from forming.