Let's roll up our sleeves and solve this. We have 966 and we're going to multiply it by 34, essentially adding 966 to itself 34 times.
Step 1: 0 + 966 = 966
Step 2: 966 + 966 = 1932
Step 3: 1932 + 966 = 2898
Step 4: 2898 + 966 = 3864
Step 5: 3864 + 966 = 4830
Step 6: 4830 + 966 = 5796
Step 7: 5796 + 966 = 6762
Step 8: 6762 + 966 = 7728
Step 9: 7728 + 966 = 8694
Step 10: 8694 + 966 = 9660
Step 11: 9660 + 966 = 10626
Step 12: 10626 + 966 = 11592
Step 13: 11592 + 966 = 12558
Step 14: 12558 + 966 = 13524
Step 15: 13524 + 966 = 14490
Step 16: 14490 + 966 = 15456
Step 17: 15456 + 966 = 16422
Step 18: 16422 + 966 = 17388
Step 19: 17388 + 966 = 18354
Step 20: 18354 + 966 = 19320
Step 21: 19320 + 966 = 20286
Step 22: 20286 + 966 = 21252
Step 23: 21252 + 966 = 22218
Step 24: 22218 + 966 = 23184
Step 25: 23184 + 966 = 24150
Step 26: 24150 + 966 = 25116
Step 27: 25116 + 966 = 26082
Step 28: 26082 + 966 = 27048
Step 29: 27048 + 966 = 28014
Step 30: 28014 + 966 = 28980
Step 31: 28980 + 966 = 29946
Step 32: 29946 + 966 = 30912
Step 33: 30912 + 966 = 31878
Step 34: 31878 + 966 = 32844

So, 966*34 = 32844