Sure thing, let's get straight to it. We start with 597 and we're going to multiply it by 9, which means adding 597 to itself 9 times.
Step 1: 0 + 597 = 597
Step 2: 597 + 597 = 1194
Step 3: 1194 + 597 = 1791
Step 4: 1791 + 597 = 2388
Step 5: 2388 + 597 = 2985
Step 6: 2985 + 597 = 3582
Step 7: 3582 + 597 = 4179
Step 8: 4179 + 597 = 4776
Step 9: 4776 + 597 = 5373

So, 597*9 = 5373