As Tagteam mentioned, you report EVERYTHING you won (although if you keep close records using the "session" method, that may be able to be adjusted).
It says "Coin Out" of $10,603.63. At first glance that seemingly indicates the amount you won, so you report that full amount (well, sort of, depending on what the casino means by that).
It says "Coin In" of $8,461.08. At first glance that seemingly indicates the amount you spent, which would be an Itemized Deduction on Schedule A.
However, statements from casinos are notoriously unclear and vary from casino to casino. So you would need to ask that casino exactly what their statement means. The actual amounts you need to report may not be reflected at all on that statement (you need to keep your own records).
