Take another look at the sentence:

Scrubbing the tile grout with bleach and an old toothbrush, the mildew stains began to fade.

Scrubbing the tile grout with bleach and an old toothbrush, a participle phrase, has no target in the sentence. When a modifier has no word to describe, it is dangling.

To fix the problem, you should revise the sentence like this: As Michael scrubbed the tile grout with bleach and an old toothbrush, the mildew stains began to fade. Adding Michael to the sentence lets the reader know who is scrubbing the tile grout.

Go to the next sentence.

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