Alright, let's solve this math problem step by step. First, we have the number 684. Next, we see the multiplication sign, which means we need to multiply something. And what are we multiplying it by? We multiply it by 63. So, we're going to take the number 684 and add it to itself 63 times.
Step 1: 0 + 684 = 684
Step 2: 684 + 684 = 1368
Step 3: 1368 + 684 = 2052
Step 4: 2052 + 684 = 2736
Step 5: 2736 + 684 = 3420
Step 6: 3420 + 684 = 4104
Step 7: 4104 + 684 = 4788
Step 8: 4788 + 684 = 5472
Step 9: 5472 + 684 = 6156
Step 10: 6156 + 684 = 6840
Step 11: 6840 + 684 = 7524
Step 12: 7524 + 684 = 8208
Step 13: 8208 + 684 = 8892
Step 14: 8892 + 684 = 9576
Step 15: 9576 + 684 = 10260
Step 16: 10260 + 684 = 10944
Step 17: 10944 + 684 = 11628
Step 18: 11628 + 684 = 12312
Step 19: 12312 + 684 = 12996
Step 20: 12996 + 684 = 13680
Step 21: 13680 + 684 = 14364
Step 22: 14364 + 684 = 15048
Step 23: 15048 + 684 = 15732
Step 24: 15732 + 684 = 16416
Step 25: 16416 + 684 = 17100
Step 26: 17100 + 684 = 17784
Step 27: 17784 + 684 = 18468
Step 28: 18468 + 684 = 19152
Step 29: 19152 + 684 = 19836
Step 30: 19836 + 684 = 20520
Step 31: 20520 + 684 = 21204
Step 32: 21204 + 684 = 21888
Step 33: 21888 + 684 = 22572
Step 34: 22572 + 684 = 23256
Step 35: 23256 + 684 = 23940
Step 36: 23940 + 684 = 24624
Step 37: 24624 + 684 = 25308
Step 38: 25308 + 684 = 25992
Step 39: 25992 + 684 = 26676
Step 40: 26676 + 684 = 27360
Step 41: 27360 + 684 = 28044
Step 42: 28044 + 684 = 28728
Step 43: 28728 + 684 = 29412
Step 44: 29412 + 684 = 30096
Step 45: 30096 + 684 = 30780
Step 46: 30780 + 684 = 31464
Step 47: 31464 + 684 = 32148
Step 48: 32148 + 684 = 32832
Step 49: 32832 + 684 = 33516
Step 50: 33516 + 684 = 34200
Step 51: 34200 + 684 = 34884
Step 52: 34884 + 684 = 35568
Step 53: 35568 + 684 = 36252
Step 54: 36252 + 684 = 36936
Step 55: 36936 + 684 = 37620
Step 56: 37620 + 684 = 38304
Step 57: 38304 + 684 = 38988
Step 58: 38988 + 684 = 39672
Step 59: 39672 + 684 = 40356
Step 60: 40356 + 684 = 41040
Step 61: 41040 + 684 = 41724
Step 62: 41724 + 684 = 42408
Step 63: 42408 + 684 = 43092

So, 684*63 = 43092