Can He Be Forgiven?

Sirius made a mistake. He knows without a shadow of a doubt that he cocked up big time when he told Snape about what may lay beneath the Whomping Willow. And he's sorry, Sirius is so sorry. He never meant for this to happen, never meant it to have gone as far as it did. But the question remains- Will Remus forgive ever him? (Set two months after the Prank, no wolfstar)