OK, let's crack this. We're given 308 and our task is to multiply it by 23. Essentially, we'll be adding 308 to itself 23 times.
Step 1: 0 + 308 = 308
Step 2: 308 + 308 = 616
Step 3: 616 + 308 = 924
Step 4: 924 + 308 = 1232
Step 5: 1232 + 308 = 1540
Step 6: 1540 + 308 = 1848
Step 7: 1848 + 308 = 2156
Step 8: 2156 + 308 = 2464
Step 9: 2464 + 308 = 2772
Step 10: 2772 + 308 = 3080
Step 11: 3080 + 308 = 3388
Step 12: 3388 + 308 = 3696
Step 13: 3696 + 308 = 4004
Step 14: 4004 + 308 = 4312
Step 15: 4312 + 308 = 4620
Step 16: 4620 + 308 = 4928
Step 17: 4928 + 308 = 5236
Step 18: 5236 + 308 = 5544
Step 19: 5544 + 308 = 5852
Step 20: 5852 + 308 = 6160
Step 21: 6160 + 308 = 6468
Step 22: 6468 + 308 = 6776
Step 23: 6776 + 308 = 7084

So, 308*23 = 7084