I'd start with scooping up any solids, a dustpan or garden scoop can help here. Use metal tools carefully, or they might scratch the tiles. A plastic baking scraper can do the job (but it'll mess up its cutting edge, so only if you're okay with sacrificing one).
If it's possible to flood the floor (without the water escaping into adjacent rooms, onto electrical sockets and whatnot, bathrooms and kitchens usually come with heightened barriers for this reason), I would apply a thin layer of water (1-2cm) and stir it up with a mop. Soap needs to be dissolved, water is required for that. The stirring action accelerates the dissolving.
A wet vacuum cleaner would be a great help here. Depending on your country/region, they can usually be rented. This will allow you to get rid of the standing water quickly (after it's dissolved as much of the soap as possible). If any soap is left, literally rinse and repeat.
If flooding is not possible, you could attempt to use wet mops to create a ring dike around an area, then use a splash of water and stir, then scoop that out with the dust pan. If you keep the dust pan flat on the ground, then briefly move it quickly and tilt backwards, you should be able to get a decent amount of water into your bucket.
In both instances, that wet vacuum cleaner will be a great help however. I would focus on finding one of those.