Let's roll up our sleeves and solve this. We have 7 and we're going to multiply it by 229, essentially adding 7 to itself 229 times.
Step 1: 0 + 7 = 7
Step 2: 7 + 7 = 14
Step 3: 14 + 7 = 21
Step 4: 21 + 7 = 28
Step 5: 28 + 7 = 35
Step 6: 35 + 7 = 42
Step 7: 42 + 7 = 49
Step 8: 49 + 7 = 56
Step 9: 56 + 7 = 63
Step 10: 63 + 7 = 70
Step 11: 70 + 7 = 77
Step 12: 77 + 7 = 84
Step 13: 84 + 7 = 91
Step 14: 91 + 7 = 98
Step 15: 98 + 7 = 105
Step 16: 105 + 7 = 112
Step 17: 112 + 7 = 119
Step 18: 119 + 7 = 126
Step 19: 126 + 7 = 133
Step 20: 133 + 7 = 140
Step 21: 140 + 7 = 147
Step 22: 147 + 7 = 154
Step 23: 154 + 7 = 161
Step 24: 161 + 7 = 168
Step 25: 168 + 7 = 175
Step 26: 175 + 7 = 182
Step 27: 182 + 7 = 189
Step 28: 189 + 7 = 196
Step 29: 196 + 7 = 203
Step 30: 203 + 7 = 210
Step 31: 210 + 7 = 217
Step 32: 217 + 7 = 224
Step 33: 224 + 7 = 231
Step 34: 231 + 7 = 238
Step 35: 238 + 7 = 245
Step 36: 245 + 7 = 252
Step 37: 252 + 7 = 259
Step 38: 259 + 7 = 266
Step 39: 266 + 7 = 273
Step 40: 273 + 7 = 280
Step 41: 280 + 7 = 287
Step 42: 287 + 7 = 294
Step 43: 294 + 7 = 301
Step 44: 301 + 7 = 308
Step 45: 308 + 7 = 315
Step 46: 315 + 7 = 322
Step 47: 322 + 7 = 329
Step 48: 329 + 7 = 336
Step 49: 336 + 7 = 343
Step 50: 343 + 7 = 350
Step 51: 350 + 7 = 357
Step 52: 357 + 7 = 364
Step 53: 364 + 7 = 371
Step 54: 371 + 7 = 378
Step 55: 378 + 7 = 385
Step 56: 385 + 7 = 392
Step 57: 392 + 7 = 399
Step 58: 399 + 7 = 406
Step 59: 406 + 7 = 413
Step 60: 413 + 7 = 420
Step 61: 420 + 7 = 427
Step 62: 427 + 7 = 434
Step 63: 434 + 7 = 441
Step 64: 441 + 7 = 448
Step 65: 448 + 7 = 455
Step 66: 455 + 7 = 462
Step 67: 462 + 7 = 469
Step 68: 469 + 7 = 476
Step 69: 476 + 7 = 483
Step 70: 483 + 7 = 490
Step 71: 490 + 7 = 497
Step 72: 497 + 7 = 504
Step 73: 504 + 7 = 511
Step 74: 511 + 7 = 518
Step 75: 518 + 7 = 525
Step 76: 525 + 7 = 532
Step 77: 532 + 7 = 539
Step 78: 539 + 7 = 546
Step 79: 546 + 7 = 553
Step 80: 553 + 7 = 560
Step 81: 560 + 7 = 567
Step 82: 567 + 7 = 574
Step 83: 574 + 7 = 581
Step 84: 581 + 7 = 588
Step 85: 588 + 7 = 595
Step 86: 595 + 7 = 602
Step 87: 602 + 7 = 609
Step 88: 609 + 7 = 616
Step 89: 616 + 7 = 623
Step 90: 623 + 7 = 630
Step 91: 630 + 7 = 637
Step 92: 637 + 7 = 644
Step 93: 644 + 7 = 651
Step 94: 651 + 7 = 658
Step 95: 658 + 7 = 665
Step 96: 665 + 7 = 672
Step 97: 672 + 7 = 679
Step 98: 679 + 7 = 686
Step 99: 686 + 7 = 693
Step 100: 693 + 7 = 700
Step 101: 700 + 7 = 707
Step 102: 707 + 7 = 714
Step 103: 714 + 7 = 721
Step 104: 721 + 7 = 728
Step 105: 728 + 7 = 735
Step 106: 735 + 7 = 742
Step 107: 742 + 7 = 749
Step 108: 749 + 7 = 756
Step 109: 756 + 7 = 763
Step 110: 763 + 7 = 770
Step 111: 770 + 7 = 777
Step 112: 777 + 7 = 784
Step 113: 784 + 7 = 791
Step 114: 791 + 7 = 798
Step 115: 798 + 7 = 805
Step 116: 805 + 7 = 812
Step 117: 812 + 7 = 819
Step 118: 819 + 7 = 826
Step 119: 826 + 7 = 833
Step 120: 833 + 7 = 840
Step 121: 840 + 7 = 847
Step 122: 847 + 7 = 854
Step 123: 854 + 7 = 861
Step 124: 861 + 7 = 868
Step 125: 868 + 7 = 875
Step 126: 875 + 7 = 882
Step 127: 882 + 7 = 889
Step 128: 889 + 7 = 896
Step 129: 896 + 7 = 903
Step 130: 903 + 7 = 910
Step 131: 910 + 7 = 917
Step 132: 917 + 7 = 924
Step 133: 924 + 7 = 931
Step 134: 931 + 7 = 938
Step 135: 938 + 7 = 945
Step 136: 945 + 7 = 952
Step 137: 952 + 7 = 959
Step 138: 959 + 7 = 966
Step 139: 966 + 7 = 973
Step 140: 973 + 7 = 980
Step 141: 980 + 7 = 987
Step 142: 987 + 7 = 994
Step 143: 994 + 7 = 1001
Step 144: 1001 + 7 = 1008
Step 145: 1008 + 7 = 1015
Step 146: 1015 + 7 = 1022
Step 147: 1022 + 7 = 1029
Step 148: 1029 + 7 = 1036
Step 149: 1036 + 7 = 1043
Step 150: 1043 + 7 = 1050
Step 151: 1050 + 7 = 1057
Step 152: 1057 + 7 = 1064
Step 153: 1064 + 7 = 1071
Step 154: 1071 + 7 = 1078
Step 155: 1078 + 7 = 1085
Step 156: 1085 + 7 = 1092
Step 157: 1092 + 7 = 1099
Step 158: 1099 + 7 = 1106
Step 159: 1106 + 7 = 1113
Step 160: 1113 + 7 = 1120
Step 161: 1120 + 7 = 1127
Step 162: 1127 + 7 = 1134
Step 163: 1134 + 7 = 1141
Step 164: 1141 + 7 = 1148
Step 165: 1148 + 7 = 1155
Step 166: 1155 + 7 = 1162
Step 167: 1162 + 7 = 1169
Step 168: 1169 + 7 = 1176
Step 169: 1176 + 7 = 1183
Step 170: 1183 + 7 = 1190
Step 171: 1190 + 7 = 1197
Step 172: 1197 + 7 = 1204
Step 173: 1204 + 7 = 1211
Step 174: 1211 + 7 = 1218
Step 175: 1218 + 7 = 1225
Step 176: 1225 + 7 = 1232
Step 177: 1232 + 7 = 1239
Step 178: 1239 + 7 = 1246
Step 179: 1246 + 7 = 1253
Step 180: 1253 + 7 = 1260
Step 181: 1260 + 7 = 1267
Step 182: 1267 + 7 = 1274
Step 183: 1274 + 7 = 1281
Step 184: 1281 + 7 = 1288
Step 185: 1288 + 7 = 1295
Step 186: 1295 + 7 = 1302
Step 187: 1302 + 7 = 1309
Step 188: 1309 + 7 = 1316
Step 189: 1316 + 7 = 1323
Step 190: 1323 + 7 = 1330
Step 191: 1330 + 7 = 1337
Step 192: 1337 + 7 = 1344
Step 193: 1344 + 7 = 1351
Step 194: 1351 + 7 = 1358
Step 195: 1358 + 7 = 1365
Step 196: 1365 + 7 = 1372
Step 197: 1372 + 7 = 1379
Step 198: 1379 + 7 = 1386
Step 199: 1386 + 7 = 1393
Step 200: 1393 + 7 = 1400
Step 201: 1400 + 7 = 1407
Step 202: 1407 + 7 = 1414
Step 203: 1414 + 7 = 1421
Step 204: 1421 + 7 = 1428
Step 205: 1428 + 7 = 1435
Step 206: 1435 + 7 = 1442
Step 207: 1442 + 7 = 1449
Step 208: 1449 + 7 = 1456
Step 209: 1456 + 7 = 1463
Step 210: 1463 + 7 = 1470
Step 211: 1470 + 7 = 1477
Step 212: 1477 + 7 = 1484
Step 213: 1484 + 7 = 1491
Step 214: 1491 + 7 = 1498
Step 215: 1498 + 7 = 1505
Step 216: 1505 + 7 = 1512
Step 217: 1512 + 7 = 1519
Step 218: 1519 + 7 = 1526
Step 219: 1526 + 7 = 1533
Step 220: 1533 + 7 = 1540
Step 221: 1540 + 7 = 1547
Step 222: 1547 + 7 = 1554
Step 223: 1554 + 7 = 1561
Step 224: 1561 + 7 = 1568
Step 225: 1568 + 7 = 1575
Step 226: 1575 + 7 = 1582
Step 227: 1582 + 7 = 1589
Step 228: 1589 + 7 = 1596
Step 229: 1596 + 7 = 1603

So, 7*229 = 1603