Alright, let's solve this math problem step by step. First, we have the number 677. Next, we see the multiplication sign, which means we need to multiply something. And what are we multiplying it by? We multiply it by 34. So, we're going to take the number 677 and add it to itself 34 times.
Step 1: 0 + 677 = 677
Step 2: 677 + 677 = 1354
Step 3: 1354 + 677 = 2031
Step 4: 2031 + 677 = 2708
Step 5: 2708 + 677 = 3385
Step 6: 3385 + 677 = 4062
Step 7: 4062 + 677 = 4739
Step 8: 4739 + 677 = 5416
Step 9: 5416 + 677 = 6093
Step 10: 6093 + 677 = 6770
Step 11: 6770 + 677 = 7447
Step 12: 7447 + 677 = 8124
Step 13: 8124 + 677 = 8801
Step 14: 8801 + 677 = 9478
Step 15: 9478 + 677 = 10155
Step 16: 10155 + 677 = 10832
Step 17: 10832 + 677 = 11509
Step 18: 11509 + 677 = 12186
Step 19: 12186 + 677 = 12863
Step 20: 12863 + 677 = 13540
Step 21: 13540 + 677 = 14217
Step 22: 14217 + 677 = 14894
Step 23: 14894 + 677 = 15571
Step 24: 15571 + 677 = 16248
Step 25: 16248 + 677 = 16925
Step 26: 16925 + 677 = 17602
Step 27: 17602 + 677 = 18279
Step 28: 18279 + 677 = 18956
Step 29: 18956 + 677 = 19633
Step 30: 19633 + 677 = 20310
Step 31: 20310 + 677 = 20987
Step 32: 20987 + 677 = 21664
Step 33: 21664 + 677 = 22341
Step 34: 22341 + 677 = 23018

So, 677*34 = 23018