OK, let's crack this. We're given 67 and our task is to multiply it by 66. Essentially, we'll be adding 67 to itself 66 times.
Step 1: 0 + 67 = 67
Step 2: 67 + 67 = 134
Step 3: 134 + 67 = 201
Step 4: 201 + 67 = 268
Step 5: 268 + 67 = 335
Step 6: 335 + 67 = 402
Step 7: 402 + 67 = 469
Step 8: 469 + 67 = 536
Step 9: 536 + 67 = 603
Step 10: 603 + 67 = 670
Step 11: 670 + 67 = 737
Step 12: 737 + 67 = 804
Step 13: 804 + 67 = 871
Step 14: 871 + 67 = 938
Step 15: 938 + 67 = 1005
Step 16: 1005 + 67 = 1072
Step 17: 1072 + 67 = 1139
Step 18: 1139 + 67 = 1206
Step 19: 1206 + 67 = 1273
Step 20: 1273 + 67 = 1340
Step 21: 1340 + 67 = 1407
Step 22: 1407 + 67 = 1474
Step 23: 1474 + 67 = 1541
Step 24: 1541 + 67 = 1608
Step 25: 1608 + 67 = 1675
Step 26: 1675 + 67 = 1742
Step 27: 1742 + 67 = 1809
Step 28: 1809 + 67 = 1876
Step 29: 1876 + 67 = 1943
Step 30: 1943 + 67 = 2010
Step 31: 2010 + 67 = 2077
Step 32: 2077 + 67 = 2144
Step 33: 2144 + 67 = 2211
Step 34: 2211 + 67 = 2278
Step 35: 2278 + 67 = 2345
Step 36: 2345 + 67 = 2412
Step 37: 2412 + 67 = 2479
Step 38: 2479 + 67 = 2546
Step 39: 2546 + 67 = 2613
Step 40: 2613 + 67 = 2680
Step 41: 2680 + 67 = 2747
Step 42: 2747 + 67 = 2814
Step 43: 2814 + 67 = 2881
Step 44: 2881 + 67 = 2948
Step 45: 2948 + 67 = 3015
Step 46: 3015 + 67 = 3082
Step 47: 3082 + 67 = 3149
Step 48: 3149 + 67 = 3216
Step 49: 3216 + 67 = 3283
Step 50: 3283 + 67 = 3350
Step 51: 3350 + 67 = 3417
Step 52: 3417 + 67 = 3484
Step 53: 3484 + 67 = 3551
Step 54: 3551 + 67 = 3618
Step 55: 3618 + 67 = 3685
Step 56: 3685 + 67 = 3752
Step 57: 3752 + 67 = 3819
Step 58: 3819 + 67 = 3886
Step 59: 3886 + 67 = 3953
Step 60: 3953 + 67 = 4020
Step 61: 4020 + 67 = 4087
Step 62: 4087 + 67 = 4154
Step 63: 4154 + 67 = 4221
Step 64: 4221 + 67 = 4288
Step 65: 4288 + 67 = 4355
Step 66: 4355 + 67 = 4422

So, 67*66 = 4422