There's cleaning fluid. There's powerful soap. And then there's Red Effect. This is a 2-in-1 detergent and brake dust remover in one handy canister with a spray head. And yes, the product's colour is red.
To be clear, you use this while sitting or crouching on your knees. We're talking the lower part of the bicycle here. Wheels, brake disks, forks, those things. Red Effect is specifically suited to remove metal dust and rust. Don't worry, it won't make an entire motorcycle disappear.
Spray Red Effect onto the surface you want to clean, wait a few minutes for the product to bond and turn red, then rinse with clean water. You can also scrub between steps two and three, although chances are you won't even have to.
If you go over it again afterwards with a microfiber cloth, you will get the best result. And that rinsing can be done with some pressure, as long as you only aim at the wheels and chassis.
Persistent brake dust, rust, and metal dust are now definitely a thing of the past.