Once upon a time, there was a woman who threw garbage on Rasulullah (peace be upon him). She threw garbage on him whenever he passed by her house. One day she did not threw garbage on him so he wanted to know the reason.
He stepped inside her house. He saw the woman that she was sick. He went in. The woman thought he has come to punish her, but he came in with a glass of water and said in a friendly way, "Calm down, drink this". Rasulullah (peace be upon him) gave her the glass of water. She was so surprised that she threw garbage on him and he is talking to her in a friendly way. Rasulullah (peace be upon him) cleaned her house and put the glass of water in the kitchen.
Then the woman was so surprised and said that she want to accept Islam. Rasulullah (peace be upon him) said, "Say, LA-ILA-HA-ILL-ALLAH-MUHAMMAD-UR-RASULULLAH". And the woman accepted Islam.