Take the clothes from your soaking pail (or other) and wring them out and toss in the washer.
Yes, by the time the bleach water ends up in the toddy, it is dirty but still bleachy. The floor dirt that's in it will be flushed down instead of poured down a sink to not serve any real purpose.
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It's so easy to make mistakes with chlorine bleach! So I poke a little hole in the foil on top of the closing of the bottle to give me more control over the flow of the bleach.
For fast sanitizing clean ups, get a spray water bottle and mix a small amount of bleach (a cap full) and fill the rest of the bottle with water.
The other day I ran out of ultra bleach and I noticed in the laundry room I had a full bottle of store brand bleach and I thought great I don't have to go to the store.