From your post, I am assuming you don't have kids! Yes, it is completely normal to have to do laundry everyday if you have 3 kids, especially a toddler! Yes, they make tons of noise and yes, it is incredibly stressful at times! I understand how this would drive you crazy, but please don't assume that a coin washer will deter a mother from making sure her kids have clean clothing. Also, the 1 yr old might be getting potty trained, at least possibly introducing it, every family is different so that's another thing. Also cloth diapers are pretty popular now, so that might be another reason.
What I'm really getting at it that having to do laundry everyday with 3 kids is completely normal. I had to do laundry pretty much everyday when my son was a toddler and I just had 1 kid, with 3 it's pretty much a guarantee. They get into things you would never imagine!
Do you have the utilities separate? Its not fair that you should be absorbing the cost of doing laundry so much if you dont.
Since you work from home, you may be able to soundproof your office. If you do a Google search for acoustic soundproofing, there are many different options that could help you out for now. Good luck!!!