The interesting thing is that, as you get further and further from Earth or the Sun or the centre of the Milky Way, the level of precision which is even useful

The interesting thing is that, as you get further and further from Earth or the Sun or the centre of the Milky Way, the level of precision which is even useful becomes less and less. What is one light year left or right for a quasar 13,000,000,000 light years away? Floats, then, behave entirely appropriately in this situation.