Some examples of dangling participles would be the following:
Deleting the last of the spam emails, my inbox was finally clean.
Correction: Deleting the last of the spam emails, I had finally cleaned my inbox.
After spending all day playing in the snow, the crackling fireplace brought much needed warmth.
Correction: After spending all day playing in the snow, we received some much needed warmth from the crackling fireplace.
Taking the last bite of turkey from Thanksgiving dinner, a long nap would surely follow.
Correction: Taking the last bite of turkey from Thanksgiving dinner, I would surely be in for a long nap.