Let's roll up our sleeves and solve this. We have 177 and we're going to multiply it by 34, essentially adding 177 to itself 34 times.
Step 1: 0 + 177 = 177
Step 2: 177 + 177 = 354
Step 3: 354 + 177 = 531
Step 4: 531 + 177 = 708
Step 5: 708 + 177 = 885
Step 6: 885 + 177 = 1062
Step 7: 1062 + 177 = 1239
Step 8: 1239 + 177 = 1416
Step 9: 1416 + 177 = 1593
Step 10: 1593 + 177 = 1770
Step 11: 1770 + 177 = 1947
Step 12: 1947 + 177 = 2124
Step 13: 2124 + 177 = 2301
Step 14: 2301 + 177 = 2478
Step 15: 2478 + 177 = 2655
Step 16: 2655 + 177 = 2832
Step 17: 2832 + 177 = 3009
Step 18: 3009 + 177 = 3186
Step 19: 3186 + 177 = 3363
Step 20: 3363 + 177 = 3540
Step 21: 3540 + 177 = 3717
Step 22: 3717 + 177 = 3894
Step 23: 3894 + 177 = 4071
Step 24: 4071 + 177 = 4248
Step 25: 4248 + 177 = 4425
Step 26: 4425 + 177 = 4602
Step 27: 4602 + 177 = 4779
Step 28: 4779 + 177 = 4956
Step 29: 4956 + 177 = 5133
Step 30: 5133 + 177 = 5310
Step 31: 5310 + 177 = 5487
Step 32: 5487 + 177 = 5664
Step 33: 5664 + 177 = 5841
Step 34: 5841 + 177 = 6018

So, 177*34 = 6018