OK, let's work through this together. We're starting with 583 and we're going to multiply it by 59, which means we add 583 to itself 59 times.
Step 1: 0 + 583 = 583
Step 2: 583 + 583 = 1166
Step 3: 1166 + 583 = 1749
Step 4: 1749 + 583 = 2332
Step 5: 2332 + 583 = 2915
Step 6: 2915 + 583 = 3498
Step 7: 3498 + 583 = 4081
Step 8: 4081 + 583 = 4664
Step 9: 4664 + 583 = 5247
Step 10: 5247 + 583 = 5830
Step 11: 5830 + 583 = 6413
Step 12: 6413 + 583 = 6996
Step 13: 6996 + 583 = 7579
Step 14: 7579 + 583 = 8162
Step 15: 8162 + 583 = 8745
Step 16: 8745 + 583 = 9328
Step 17: 9328 + 583 = 9911
Step 18: 9911 + 583 = 10494
Step 19: 10494 + 583 = 11077
Step 20: 11077 + 583 = 11660
Step 21: 11660 + 583 = 12243
Step 22: 12243 + 583 = 12826
Step 23: 12826 + 583 = 13409
Step 24: 13409 + 583 = 13992
Step 25: 13992 + 583 = 14575
Step 26: 14575 + 583 = 15158
Step 27: 15158 + 583 = 15741
Step 28: 15741 + 583 = 16324
Step 29: 16324 + 583 = 16907
Step 30: 16907 + 583 = 17490
Step 31: 17490 + 583 = 18073
Step 32: 18073 + 583 = 18656
Step 33: 18656 + 583 = 19239
Step 34: 19239 + 583 = 19822
Step 35: 19822 + 583 = 20405
Step 36: 20405 + 583 = 20988
Step 37: 20988 + 583 = 21571
Step 38: 21571 + 583 = 22154
Step 39: 22154 + 583 = 22737
Step 40: 22737 + 583 = 23320
Step 41: 23320 + 583 = 23903
Step 42: 23903 + 583 = 24486
Step 43: 24486 + 583 = 25069
Step 44: 25069 + 583 = 25652
Step 45: 25652 + 583 = 26235
Step 46: 26235 + 583 = 26818
Step 47: 26818 + 583 = 27401
Step 48: 27401 + 583 = 27984
Step 49: 27984 + 583 = 28567
Step 50: 28567 + 583 = 29150
Step 51: 29150 + 583 = 29733
Step 52: 29733 + 583 = 30316
Step 53: 30316 + 583 = 30899
Step 54: 30899 + 583 = 31482
Step 55: 31482 + 583 = 32065
Step 56: 32065 + 583 = 32648
Step 57: 32648 + 583 = 33231
Step 58: 33231 + 583 = 33814
Step 59: 33814 + 583 = 34397

So, 583*59 = 34397