OK, let's work through this together. We're starting with 589 and we're going to multiply it by 45, which means we add 589 to itself 45 times.
Step 1: 0 + 589 = 589
Step 2: 589 + 589 = 1178
Step 3: 1178 + 589 = 1767
Step 4: 1767 + 589 = 2356
Step 5: 2356 + 589 = 2945
Step 6: 2945 + 589 = 3534
Step 7: 3534 + 589 = 4123
Step 8: 4123 + 589 = 4712
Step 9: 4712 + 589 = 5301
Step 10: 5301 + 589 = 5890
Step 11: 5890 + 589 = 6479
Step 12: 6479 + 589 = 7068
Step 13: 7068 + 589 = 7657
Step 14: 7657 + 589 = 8246
Step 15: 8246 + 589 = 8835
Step 16: 8835 + 589 = 9424
Step 17: 9424 + 589 = 10013
Step 18: 10013 + 589 = 10602
Step 19: 10602 + 589 = 11191
Step 20: 11191 + 589 = 11780
Step 21: 11780 + 589 = 12369
Step 22: 12369 + 589 = 12958
Step 23: 12958 + 589 = 13547
Step 24: 13547 + 589 = 14136
Step 25: 14136 + 589 = 14725
Step 26: 14725 + 589 = 15314
Step 27: 15314 + 589 = 15903
Step 28: 15903 + 589 = 16492
Step 29: 16492 + 589 = 17081
Step 30: 17081 + 589 = 17670
Step 31: 17670 + 589 = 18259
Step 32: 18259 + 589 = 18848
Step 33: 18848 + 589 = 19437
Step 34: 19437 + 589 = 20026
Step 35: 20026 + 589 = 20615
Step 36: 20615 + 589 = 21204
Step 37: 21204 + 589 = 21793
Step 38: 21793 + 589 = 22382
Step 39: 22382 + 589 = 22971
Step 40: 22971 + 589 = 23560
Step 41: 23560 + 589 = 24149
Step 42: 24149 + 589 = 24738
Step 43: 24738 + 589 = 25327
Step 44: 25327 + 589 = 25916
Step 45: 25916 + 589 = 26505

So, 589*45 = 26505