Removing quick-release wheels

What's the best way to support the bike if you have to remove the front or rear quick-release wheels at the roadside? I've only ever removed wheels in my garage at home where the bike was supported in a raised position on a cantilever stand so there was no danger of any damage being caused.
Do people turn the bike upside down or lay it on its side once a wheel has been removed at the roadside?
Do people turn the bike upside down or lay it on its side once a wheel has been removed at the roadside?
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If there is a suitable post/fence available I sometimes hook the saddle on top of it to suspend it vertically, but only if it is reasonably secure.
I generally find upside down is by far the easiest, the bike is then supporting itself and you have a stable platform to work with. Not always possible with an uneven surface in which case just make sure that it's drive side up.
Rear wheel - only upside down if on a nice grassy area. Never concrete - dont want to scuff things.
If it is concrete - I lay the bike down gently or even better - find some grass verge.