Let's roll up our sleeves and solve this. We have 103 and we're going to multiply it by 23, essentially adding 103 to itself 23 times.
Step 1: 0 + 103 = 103
Step 2: 103 + 103 = 206
Step 3: 206 + 103 = 309
Step 4: 309 + 103 = 412
Step 5: 412 + 103 = 515
Step 6: 515 + 103 = 618
Step 7: 618 + 103 = 721
Step 8: 721 + 103 = 824
Step 9: 824 + 103 = 927
Step 10: 927 + 103 = 1030
Step 11: 1030 + 103 = 1133
Step 12: 1133 + 103 = 1236
Step 13: 1236 + 103 = 1339
Step 14: 1339 + 103 = 1442
Step 15: 1442 + 103 = 1545
Step 16: 1545 + 103 = 1648
Step 17: 1648 + 103 = 1751
Step 18: 1751 + 103 = 1854
Step 19: 1854 + 103 = 1957
Step 20: 1957 + 103 = 2060
Step 21: 2060 + 103 = 2163
Step 22: 2163 + 103 = 2266
Step 23: 2266 + 103 = 2369

So, 103*23 = 2369