Let's roll up our sleeves and solve this. We have 588 and we're going to multiply it by 23, essentially adding 588 to itself 23 times.
Step 1: 0 + 588 = 588
Step 2: 588 + 588 = 1176
Step 3: 1176 + 588 = 1764
Step 4: 1764 + 588 = 2352
Step 5: 2352 + 588 = 2940
Step 6: 2940 + 588 = 3528
Step 7: 3528 + 588 = 4116
Step 8: 4116 + 588 = 4704
Step 9: 4704 + 588 = 5292
Step 10: 5292 + 588 = 5880
Step 11: 5880 + 588 = 6468
Step 12: 6468 + 588 = 7056
Step 13: 7056 + 588 = 7644
Step 14: 7644 + 588 = 8232
Step 15: 8232 + 588 = 8820
Step 16: 8820 + 588 = 9408
Step 17: 9408 + 588 = 9996
Step 18: 9996 + 588 = 10584
Step 19: 10584 + 588 = 11172
Step 20: 11172 + 588 = 11760
Step 21: 11760 + 588 = 12348
Step 22: 12348 + 588 = 12936
Step 23: 12936 + 588 = 13524

So, 588*23 = 13524