Distribute soil in the garden, with what?

Good evening,
three days ago we had 4 truckloads of clay soil removed from our garden.
Now we need to refill the garden with almost 50 tons of topsoil.
Using a wheelbarrow is, of course, quite a lot of hard work.. can I use a wheel loader for this?
I’m just afraid that the wheel loader will compact everything and we’ll have standing water in the garden again!
Or is the compacted soil not an issue if I treat the soil afterwards with a garden tiller?

Best regards,
Hari

who removed it then? normally, you’d have to put the new floor on right away

You are exactly right: The wheel loader compacts. Make sure you work with a [Minibagger] and a [Dumper]. The [Minibagger] loads the soil into the [Dumper], and it transports it on site without much compaction. Both are available as rental equipment for little money.

What about three friends and two wheelbarrows? Sure, that involves work, but that's just how it is. Besides, this method compresses the least...

A little compaction can't hurt, the variant with the dumper is the best. The wheel loader compacts too much. Then leave it for a strong rain, break up the surface once with the rotary tiller, if necessary level again, and then sow the lawn.

I did it with a mini excavator, with which you can loosen the spots you drove over again. Then finish grading with a rake.