OK, let's crack this. We're given 678 and our task is to multiply it by 498. Essentially, we'll be adding 678 to itself 498 times.
Step 1: 0 + 678 = 678
Step 2: 678 + 678 = 1356
Step 3: 1356 + 678 = 2034
Step 4: 2034 + 678 = 2712
Step 5: 2712 + 678 = 3390
Step 6: 3390 + 678 = 4068
Step 7: 4068 + 678 = 4746
Step 8: 4746 + 678 = 5424
Step 9: 5424 + 678 = 6102
Step 10: 6102 + 678 = 6780
Step 11: 6780 + 678 = 7458
Step 12: 7458 + 678 = 8136
Step 13: 8136 + 678 = 8814
Step 14: 8814 + 678 = 9492
Step 15: 9492 + 678 = 10170
Step 16: 10170 + 678 = 10848
Step 17: 10848 + 678 = 11526
Step 18: 11526 + 678 = 12204
Step 19: 12204 + 678 = 12882
Step 20: 12882 + 678 = 13560
Step 21: 13560 + 678 = 14238
Step 22: 14238 + 678 = 14916
Step 23: 14916 + 678 = 15594
Step 24: 15594 + 678 = 16272
Step 25: 16272 + 678 = 16950
Step 26: 16950 + 678 = 17628
Step 27: 17628 + 678 = 18306
Step 28: 18306 + 678 = 18984
Step 29: 18984 + 678 = 19662
Step 30: 19662 + 678 = 20340
Step 31: 20340 + 678 = 21018
Step 32: 21018 + 678 = 21696
Step 33: 21696 + 678 = 22374
Step 34: 22374 + 678 = 23052
Step 35: 23052 + 678 = 23730
Step 36: 23730 + 678 = 24408
Step 37: 24408 + 678 = 25086
Step 38: 25086 + 678 = 25764
Step 39: 25764 + 678 = 26442
Step 40: 26442 + 678 = 27120
Step 41: 27120 + 678 = 27798
Step 42: 27798 + 678 = 28476
Step 43: 28476 + 678 = 29154
Step 44: 29154 + 678 = 29832
Step 45: 29832 + 678 = 30510
Step 46: 30510 + 678 = 31188
Step 47: 31188 + 678 = 31866
Step 48: 31866 + 678 = 32544
Step 49: 32544 + 678 = 33222
Step 50: 33222 + 678 = 33900
Step 51: 33900 + 678 = 34578
Step 52: 34578 + 678 = 35256
Step 53: 35256 + 678 = 35934
Step 54: 35934 + 678 = 36612
Step 55: 36612 + 678 = 37290
Step 56: 37290 + 678 = 37968
Step 57: 37968 + 678 = 38646
Step 58: 38646 + 678 = 39324
Step 59: 39324 + 678 = 40002
Step 60: 40002 + 678 = 40680
Step 61: 40680 + 678 = 41358
Step 62: 41358 + 678 = 42036
Step 63: 42036 + 678 = 42714
Step 64: 42714 + 678 = 43392
Step 65: 43392 + 678 = 44070
Step 66: 44070 + 678 = 44748
Step 67: 44748 + 678 = 45426
Step 68: 45426 + 678 = 46104
Step 69: 46104 + 678 = 46782
Step 70: 46782 + 678 = 47460
Step 71: 47460 + 678 = 48138
Step 72: 48138 + 678 = 48816
Step 73: 48816 + 678 = 49494
Step 74: 49494 + 678 = 50172
Step 75: 50172 + 678 = 50850
Step 76: 50850 + 678 = 51528
Step 77: 51528 + 678 = 52206
Step 78: 52206 + 678 = 52884
Step 79: 52884 + 678 = 53562
Step 80: 53562 + 678 = 54240
Step 81: 54240 + 678 = 54918
Step 82: 54918 + 678 = 55596
Step 83: 55596 + 678 = 56274
Step 84: 56274 + 678 = 56952
Step 85: 56952 + 678 = 57630
Step 86: 57630 + 678 = 58308
Step 87: 58308 + 678 = 58986
Step 88: 58986 + 678 = 59664
Step 89: 59664 + 678 = 60342
Step 90: 60342 + 678 = 61020
Step 91: 61020 + 678 = 61698
Step 92: 61698 + 678 = 62376
Step 93: 62376 + 678 = 63054
Step 94: 63054 + 678 = 63732
Step 95: 63732 + 678 = 64410
Step 96: 64410 + 678 = 65088
Step 97: 65088 + 678 = 65766
Step 98: 65766 + 678 = 66444
Step 99: 66444 + 678 = 67122
Step 100: 67122 + 678 = 67800
Step 101: 67800 + 678 = 68478
Step 102: 68478 + 678 = 69156
Step 103: 69156 + 678 = 69834
Step 104: 69834 + 678 = 70512
Step 105: 70512 + 678 = 71190
Step 106: 71190 + 678 = 71868
Step 107: 71868 + 678 = 72546
Step 108: 72546 + 678 = 73224
Step 109: 73224 + 678 = 73902
Step 110: 73902 + 678 = 74580
Step 111: 74580 + 678 = 75258
Step 112: 75258 + 678 = 75936
Step 113: 75936 + 678 = 76614
Step 114: 76614 + 678 = 77292
Step 115: 77292 + 678 = 77970
Step 116: 77970 + 678 = 78648
Step 117: 78648 + 678 = 79326
Step 118: 79326 + 678 = 80004
Step 119: 80004 + 678 = 80682
Step 120: 80682 + 678 = 81360
Step 121: 81360 + 678 = 82038
Step 122: 82038 + 678 = 82716
Step 123: 82716 + 678 = 83394
Step 124: 83394 + 678 = 84072
Step 125: 84072 + 678 = 84750
Step 126: 84750 + 678 = 85428
Step 127: 85428 + 678 = 86106
Step 128: 86106 + 678 = 86784
Step 129: 86784 + 678 = 87462
Step 130: 87462 + 678 = 88140
Step 131: 88140 + 678 = 88818
Step 132: 88818 + 678 = 89496
Step 133: 89496 + 678 = 90174
Step 134: 90174 + 678 = 90852
Step 135: 90852 + 678 = 91530
Step 136: 91530 + 678 = 92208
Step 137: 92208 + 678 = 92886
Step 138: 92886 + 678 = 93564
Step 139: 93564 + 678 = 94242
Step 140: 94242 + 678 = 94920
Step 141: 94920 + 678 = 95598
Step 142: 95598 + 678 = 96276
Step 143: 96276 + 678 = 96954
Step 144: 96954 + 678 = 97632
Step 145: 97632 + 678 = 98310
Step 146: 98310 + 678 = 98988
Step 147: 98988 + 678 = 99666
Step 148: 99666 + 678 = 100344
Step 149: 100344 + 678 = 101022
Step 150: 101022 + 678 = 101700
Step 151: 101700 + 678 = 102378
Step 152: 102378 + 678 = 103056
Step 153: 103056 + 678 = 103734
Step 154: 103734 + 678 = 104412
Step 155: 104412 + 678 = 105090
Step 156: 105090 + 678 = 105768
Step 157: 105768 + 678 = 106446
Step 158: 106446 + 678 = 107124
Step 159: 107124 + 678 = 107802
Step 160: 107802 + 678 = 108480
Step 161: 108480 + 678 = 109158
Step 162: 109158 + 678 = 109836
Step 163: 109836 + 678 = 110514
Step 164: 110514 + 678 = 111192
Step 165: 111192 + 678 = 111870
Step 166: 111870 + 678 = 112548
Step 167: 112548 + 678 = 113226
Step 168: 113226 + 678 = 113904
Step 169: 113904 + 678 = 114582
Step 170: 114582 + 678 = 115260
Step 171: 115260 + 678 = 115938
Step 172: 115938 + 678 = 116616
Step 173: 116616 + 678 = 117294
Step 174: 117294 + 678 = 117972
Step 175: 117972 + 678 = 118650
Step 176: 118650 + 678 = 119328
Step 177: 119328 + 678 = 120006
Step 178: 120006 + 678 = 120684
Step 179: 120684 + 678 = 121362
Step 180: 121362 + 678 = 122040
Step 181: 122040 + 678 = 122718
Step 182: 122718 + 678 = 123396
Step 183: 123396 + 678 = 124074
Step 184: 124074 + 678 = 124752
Step 185: 124752 + 678 = 125430
Step 186: 125430 + 678 = 126108
Step 187: 126108 + 678 = 126786
Step 188: 126786 + 678 = 127464
Step 189: 127464 + 678 = 128142
Step 190: 128142 + 678 = 128820
Step 191: 128820 + 678 = 129498
Step 192: 129498 + 678 = 130176
Step 193: 130176 + 678 = 130854
Step 194: 130854 + 678 = 131532
Step 195: 131532 + 678 = 132210
Step 196: 132210 + 678 = 132888
Step 197: 132888 + 678 = 133566
Step 198: 133566 + 678 = 134244
Step 199: 134244 + 678 = 134922
Step 200: 134922 + 678 = 135600
Step 201: 135600 + 678 = 136278
Step 202: 136278 + 678 = 136956
Step 203: 136956 + 678 = 137634
Step 204: 137634 + 678 = 138312
Step 205: 138312 + 678 = 138990
Step 206: 138990 + 678 = 139668
Step 207: 139668 + 678 = 140346
Step 208: 140346 + 678 = 141024
Step 209: 141024 + 678 = 141702
Step 210: 141702 + 678 = 142380
Step 211: 142380 + 678 = 143058
Step 212: 143058 + 678 = 143736
Step 213: 143736 + 678 = 144414
Step 214: 144414 + 678 = 145092
Step 215: 145092 + 678 = 145770
Step 216: 145770 + 678 = 146448
Step 217: 146448 + 678 = 147126
Step 218: 147126 + 678 = 147804
Step 219: 147804 + 678 = 148482
Step 220: 148482 + 678 = 149160
Step 221: 149160 + 678 = 149838
Step 222: 149838 + 678 = 150516
Step 223: 150516 + 678 = 151194
Step 224: 151194 + 678 = 151872
Step 225: 151872 + 678 = 152550
Step 226: 152550 + 678 = 153228
Step 227: 153228 + 678 = 153906
Step 228: 153906 + 678 = 154584
Step 229: 154584 + 678 = 155262
Step 230: 155262 + 678 = 155940
Step 231: 155940 + 678 = 156618
Step 232: 156618 + 678 = 157296
Step 233: 157296 + 678 = 157974
Step 234: 157974 + 678 = 158652
Step 235: 158652 + 678 = 159330
Step 236: 159330 + 678 = 160008
Step 237: 160008 + 678 = 160686
Step 238: 160686 + 678 = 161364
Step 239: 161364 + 678 = 162042
Step 240: 162042 + 678 = 162720
Step 241: 162720 + 678 = 163398
Step 242: 163398 + 678 = 164076
Step 243: 164076 + 678 = 164754
Step 244: 164754 + 678 = 165432
Step 245: 165432 + 678 = 166110
Step 246: 166110 + 678 = 166788
Step 247: 166788 + 678 = 167466
Step 248: 167466 + 678 = 168144
Step 249: 168144 + 678 = 168822
Step 250: 168822 + 678 = 169500
Step 251: 169500 + 678 = 170178
Step 252: 170178 + 678 = 170856
Step 253: 170856 + 678 = 171534
Step 254: 171534 + 678 = 172212
Step 255: 172212 + 678 = 172890
Step 256: 172890 + 678 = 173568
Step 257: 173568 + 678 = 174246
Step 258: 174246 + 678 = 174924
Step 259: 174924 + 678 = 175602
Step 260: 175602 + 678 = 176280
Step 261: 176280 + 678 = 176958
Step 262: 176958 + 678 = 177636
Step 263: 177636 + 678 = 178314
Step 264: 178314 + 678 = 178992
Step 265: 178992 + 678 = 179670
Step 266: 179670 + 678 = 180348
Step 267: 180348 + 678 = 181026
Step 268: 181026 + 678 = 181704
Step 269: 181704 + 678 = 182382
Step 270: 182382 + 678 = 183060
Step 271: 183060 + 678 = 183738
Step 272: 183738 + 678 = 184416
Step 273: 184416 + 678 = 185094
Step 274: 185094 + 678 = 185772
Step 275: 185772 + 678 = 186450
Step 276: 186450 + 678 = 187128
Step 277: 187128 + 678 = 187806
Step 278: 187806 + 678 = 188484
Step 279: 188484 + 678 = 189162
Step 280: 189162 + 678 = 189840
Step 281: 189840 + 678 = 190518
Step 282: 190518 + 678 = 191196
Step 283: 191196 + 678 = 191874
Step 284: 191874 + 678 = 192552
Step 285: 192552 + 678 = 193230
Step 286: 193230 + 678 = 193908
Step 287: 193908 + 678 = 194586
Step 288: 194586 + 678 = 195264
Step 289: 195264 + 678 = 195942
Step 290: 195942 + 678 = 196620
Step 291: 196620 + 678 = 197298
Step 292: 197298 + 678 = 197976
Step 293: 197976 + 678 = 198654
Step 294: 198654 + 678 = 199332
Step 295: 199332 + 678 = 200010
Step 296: 200010 + 678 = 200688
Step 297: 200688 + 678 = 201366
Step 298: 201366 + 678 = 202044
Step 299: 202044 + 678 = 202722
Step 300: 202722 + 678 = 203400
Step 301: 203400 + 678 = 204078
Step 302: 204078 + 678 = 204756
Step 303: 204756 + 678 = 205434
Step 304: 205434 + 678 = 206112
Step 305: 206112 + 678 = 206790
Step 306: 206790 + 678 = 207468
Step 307: 207468 + 678 = 208146
Step 308: 208146 + 678 = 208824
Step 309: 208824 + 678 = 209502
Step 310: 209502 + 678 = 210180
Step 311: 210180 + 678 = 210858
Step 312: 210858 + 678 = 211536
Step 313: 211536 + 678 = 212214
Step 314: 212214 + 678 = 212892
Step 315: 212892 + 678 = 213570
Step 316: 213570 + 678 = 214248
Step 317: 214248 + 678 = 214926
Step 318: 214926 + 678 = 215604
Step 319: 215604 + 678 = 216282
Step 320: 216282 + 678 = 216960
Step 321: 216960 + 678 = 217638
Step 322: 217638 + 678 = 218316
Step 323: 218316 + 678 = 218994
Step 324: 218994 + 678 = 219672
Step 325: 219672 + 678 = 220350
Step 326: 220350 + 678 = 221028
Step 327: 221028 + 678 = 221706
Step 328: 221706 + 678 = 222384
Step 329: 222384 + 678 = 223062
Step 330: 223062 + 678 = 223740
Step 331: 223740 + 678 = 224418
Step 332: 224418 + 678 = 225096
Step 333: 225096 + 678 = 225774
Step 334: 225774 + 678 = 226452
Step 335: 226452 + 678 = 227130
Step 336: 227130 + 678 = 227808
Step 337: 227808 + 678 = 228486
Step 338: 228486 + 678 = 229164
Step 339: 229164 + 678 = 229842
Step 340: 229842 + 678 = 230520
Step 341: 230520 + 678 = 231198
Step 342: 231198 + 678 = 231876
Step 343: 231876 + 678 = 232554
Step 344: 232554 + 678 = 233232
Step 345: 233232 + 678 = 233910
Step 346: 233910 + 678 = 234588
Step 347: 234588 + 678 = 235266
Step 348: 235266 + 678 = 235944
Step 349: 235944 + 678 = 236622
Step 350: 236622 + 678 = 237300
Step 351: 237300 + 678 = 237978
Step 352: 237978 + 678 = 238656
Step 353: 238656 + 678 = 239334
Step 354: 239334 + 678 = 240012
Step 355: 240012 + 678 = 240690
Step 356: 240690 + 678 = 241368
Step 357: 241368 + 678 = 242046
Step 358: 242046 + 678 = 242724
Step 359: 242724 + 678 = 243402
Step 360: 243402 + 678 = 244080
Step 361: 244080 + 678 = 244758
Step 362: 244758 + 678 = 245436
Step 363: 245436 + 678 = 246114
Step 364: 246114 + 678 = 246792
Step 365: 246792 + 678 = 247470
Step 366: 247470 + 678 = 248148
Step 367: 248148 + 678 = 248826
Step 368: 248826 + 678 = 249504
Step 369: 249504 + 678 = 250182
Step 370: 250182 + 678 = 250860
Step 371: 250860 + 678 = 251538
Step 372: 251538 + 678 = 252216
Step 373: 252216 + 678 = 252894
Step 374: 252894 + 678 = 253572
Step 375: 253572 + 678 = 254250
Step 376: 254250 + 678 = 254928
Step 377: 254928 + 678 = 255606
Step 378: 255606 + 678 = 256284
Step 379: 256284 + 678 = 256962
Step 380: 256962 + 678 = 257640
Step 381: 257640 + 678 = 258318
Step 382: 258318 + 678 = 258996
Step 383: 258996 + 678 = 259674
Step 384: 259674 + 678 = 260352
Step 385: 260352 + 678 = 261030
Step 386: 261030 + 678 = 261708
Step 387: 261708 + 678 = 262386
Step 388: 262386 + 678 = 263064
Step 389: 263064 + 678 = 263742
Step 390: 263742 + 678 = 264420
Step 391: 264420 + 678 = 265098
Step 392: 265098 + 678 = 265776
Step 393: 265776 + 678 = 266454
Step 394: 266454 + 678 = 267132
Step 395: 267132 + 678 = 267810
Step 396: 267810 + 678 = 268488
Step 397: 268488 + 678 = 269166
Step 398: 269166 + 678 = 269844
Step 399: 269844 + 678 = 270522
Step 400: 270522 + 678 = 271200
Step 401: 271200 + 678 = 271878
Step 402: 271878 + 678 = 272556
Step 403: 272556 + 678 = 273234
Step 404: 273234 + 678 = 273912
Step 405: 273912 + 678 = 274590
Step 406: 274590 + 678 = 275268
Step 407: 275268 + 678 = 275946
Step 408: 275946 + 678 = 276624
Step 409: 276624 + 678 = 277302
Step 410: 277302 + 678 = 277980
Step 411: 277980 + 678 = 278658
Step 412: 278658 + 678 = 279336
Step 413: 279336 + 678 = 280014
Step 414: 280014 + 678 = 280692
Step 415: 280692 + 678 = 281370
Step 416: 281370 + 678 = 282048
Step 417: 282048 + 678 = 282726
Step 418: 282726 + 678 = 283404
Step 419: 283404 + 678 = 284082
Step 420: 284082 + 678 = 284760
Step 421: 284760 + 678 = 285438
Step 422: 285438 + 678 = 286116
Step 423: 286116 + 678 = 286794
Step 424: 286794 + 678 = 287472
Step 425: 287472 + 678 = 288150
Step 426: 288150 + 678 = 288828
Step 427: 288828 + 678 = 289506
Step 428: 289506 + 678 = 290184
Step 429: 290184 + 678 = 290862
Step 430: 290862 + 678 = 291540
Step 431: 291540 + 678 = 292218
Step 432: 292218 + 678 = 292896
Step 433: 292896 + 678 = 293574
Step 434: 293574 + 678 = 294252
Step 435: 294252 + 678 = 294930
Step 436: 294930 + 678 = 295608
Step 437: 295608 + 678 = 296286
Step 438: 296286 + 678 = 296964
Step 439: 296964 + 678 = 297642
Step 440: 297642 + 678 = 298320
Step 441: 298320 + 678 = 298998
Step 442: 298998 + 678 = 299676
Step 443: 299676 + 678 = 300354
Step 444: 300354 + 678 = 301032
Step 445: 301032 + 678 = 301710
Step 446: 301710 + 678 = 302388
Step 447: 302388 + 678 = 303066
Step 448: 303066 + 678 = 303744
Step 449: 303744 + 678 = 304422
Step 450: 304422 + 678 = 305100
Step 451: 305100 + 678 = 305778
Step 452: 305778 + 678 = 306456
Step 453: 306456 + 678 = 307134
Step 454: 307134 + 678 = 307812
Step 455: 307812 + 678 = 308490
Step 456: 308490 + 678 = 309168
Step 457: 309168 + 678 = 309846
Step 458: 309846 + 678 = 310524
Step 459: 310524 + 678 = 311202
Step 460: 311202 + 678 = 311880
Step 461: 311880 + 678 = 312558
Step 462: 312558 + 678 = 313236
Step 463: 313236 + 678 = 313914
Step 464: 313914 + 678 = 314592
Step 465: 314592 + 678 = 315270
Step 466: 315270 + 678 = 315948
Step 467: 315948 + 678 = 316626
Step 468: 316626 + 678 = 317304
Step 469: 317304 + 678 = 317982
Step 470: 317982 + 678 = 318660
Step 471: 318660 + 678 = 319338
Step 472: 319338 + 678 = 320016
Step 473: 320016 + 678 = 320694
Step 474: 320694 + 678 = 321372
Step 475: 321372 + 678 = 322050
Step 476: 322050 + 678 = 322728
Step 477: 322728 + 678 = 323406
Step 478: 323406 + 678 = 324084
Step 479: 324084 + 678 = 324762
Step 480: 324762 + 678 = 325440
Step 481: 325440 + 678 = 326118
Step 482: 326118 + 678 = 326796
Step 483: 326796 + 678 = 327474
Step 484: 327474 + 678 = 328152
Step 485: 328152 + 678 = 328830
Step 486: 328830 + 678 = 329508
Step 487: 329508 + 678 = 330186
Step 488: 330186 + 678 = 330864
Step 489: 330864 + 678 = 331542
Step 490: 331542 + 678 = 332220
Step 491: 332220 + 678 = 332898
Step 492: 332898 + 678 = 333576
Step 493: 333576 + 678 = 334254
Step 494: 334254 + 678 = 334932
Step 495: 334932 + 678 = 335610
Step 496: 335610 + 678 = 336288
Step 497: 336288 + 678 = 336966
Step 498: 336966 + 678 = 337644

So, 678*498 = 337644