OK, let's crack this. We're given 682 and our task is to multiply it by 407. Essentially, we'll be adding 682 to itself 407 times.
Step 1: 0 + 682 = 682
Step 2: 682 + 682 = 1364
Step 3: 1364 + 682 = 2046
Step 4: 2046 + 682 = 2728
Step 5: 2728 + 682 = 3410
Step 6: 3410 + 682 = 4092
Step 7: 4092 + 682 = 4774
Step 8: 4774 + 682 = 5456
Step 9: 5456 + 682 = 6138
Step 10: 6138 + 682 = 6820
Step 11: 6820 + 682 = 7502
Step 12: 7502 + 682 = 8184
Step 13: 8184 + 682 = 8866
Step 14: 8866 + 682 = 9548
Step 15: 9548 + 682 = 10230
Step 16: 10230 + 682 = 10912
Step 17: 10912 + 682 = 11594
Step 18: 11594 + 682 = 12276
Step 19: 12276 + 682 = 12958
Step 20: 12958 + 682 = 13640
Step 21: 13640 + 682 = 14322
Step 22: 14322 + 682 = 15004
Step 23: 15004 + 682 = 15686
Step 24: 15686 + 682 = 16368
Step 25: 16368 + 682 = 17050
Step 26: 17050 + 682 = 17732
Step 27: 17732 + 682 = 18414
Step 28: 18414 + 682 = 19096
Step 29: 19096 + 682 = 19778
Step 30: 19778 + 682 = 20460
Step 31: 20460 + 682 = 21142
Step 32: 21142 + 682 = 21824
Step 33: 21824 + 682 = 22506
Step 34: 22506 + 682 = 23188
Step 35: 23188 + 682 = 23870
Step 36: 23870 + 682 = 24552
Step 37: 24552 + 682 = 25234
Step 38: 25234 + 682 = 25916
Step 39: 25916 + 682 = 26598
Step 40: 26598 + 682 = 27280
Step 41: 27280 + 682 = 27962
Step 42: 27962 + 682 = 28644
Step 43: 28644 + 682 = 29326
Step 44: 29326 + 682 = 30008
Step 45: 30008 + 682 = 30690
Step 46: 30690 + 682 = 31372
Step 47: 31372 + 682 = 32054
Step 48: 32054 + 682 = 32736
Step 49: 32736 + 682 = 33418
Step 50: 33418 + 682 = 34100
Step 51: 34100 + 682 = 34782
Step 52: 34782 + 682 = 35464
Step 53: 35464 + 682 = 36146
Step 54: 36146 + 682 = 36828
Step 55: 36828 + 682 = 37510
Step 56: 37510 + 682 = 38192
Step 57: 38192 + 682 = 38874
Step 58: 38874 + 682 = 39556
Step 59: 39556 + 682 = 40238
Step 60: 40238 + 682 = 40920
Step 61: 40920 + 682 = 41602
Step 62: 41602 + 682 = 42284
Step 63: 42284 + 682 = 42966
Step 64: 42966 + 682 = 43648
Step 65: 43648 + 682 = 44330
Step 66: 44330 + 682 = 45012
Step 67: 45012 + 682 = 45694
Step 68: 45694 + 682 = 46376
Step 69: 46376 + 682 = 47058
Step 70: 47058 + 682 = 47740
Step 71: 47740 + 682 = 48422
Step 72: 48422 + 682 = 49104
Step 73: 49104 + 682 = 49786
Step 74: 49786 + 682 = 50468
Step 75: 50468 + 682 = 51150
Step 76: 51150 + 682 = 51832
Step 77: 51832 + 682 = 52514
Step 78: 52514 + 682 = 53196
Step 79: 53196 + 682 = 53878
Step 80: 53878 + 682 = 54560
Step 81: 54560 + 682 = 55242
Step 82: 55242 + 682 = 55924
Step 83: 55924 + 682 = 56606
Step 84: 56606 + 682 = 57288
Step 85: 57288 + 682 = 57970
Step 86: 57970 + 682 = 58652
Step 87: 58652 + 682 = 59334
Step 88: 59334 + 682 = 60016
Step 89: 60016 + 682 = 60698
Step 90: 60698 + 682 = 61380
Step 91: 61380 + 682 = 62062
Step 92: 62062 + 682 = 62744
Step 93: 62744 + 682 = 63426
Step 94: 63426 + 682 = 64108
Step 95: 64108 + 682 = 64790
Step 96: 64790 + 682 = 65472
Step 97: 65472 + 682 = 66154
Step 98: 66154 + 682 = 66836
Step 99: 66836 + 682 = 67518
Step 100: 67518 + 682 = 68200
Step 101: 68200 + 682 = 68882
Step 102: 68882 + 682 = 69564
Step 103: 69564 + 682 = 70246
Step 104: 70246 + 682 = 70928
Step 105: 70928 + 682 = 71610
Step 106: 71610 + 682 = 72292
Step 107: 72292 + 682 = 72974
Step 108: 72974 + 682 = 73656
Step 109: 73656 + 682 = 74338
Step 110: 74338 + 682 = 75020
Step 111: 75020 + 682 = 75702
Step 112: 75702 + 682 = 76384
Step 113: 76384 + 682 = 77066
Step 114: 77066 + 682 = 77748
Step 115: 77748 + 682 = 78430
Step 116: 78430 + 682 = 79112
Step 117: 79112 + 682 = 79794
Step 118: 79794 + 682 = 80476
Step 119: 80476 + 682 = 81158
Step 120: 81158 + 682 = 81840
Step 121: 81840 + 682 = 82522
Step 122: 82522 + 682 = 83204
Step 123: 83204 + 682 = 83886
Step 124: 83886 + 682 = 84568
Step 125: 84568 + 682 = 85250
Step 126: 85250 + 682 = 85932
Step 127: 85932 + 682 = 86614
Step 128: 86614 + 682 = 87296
Step 129: 87296 + 682 = 87978
Step 130: 87978 + 682 = 88660
Step 131: 88660 + 682 = 89342
Step 132: 89342 + 682 = 90024
Step 133: 90024 + 682 = 90706
Step 134: 90706 + 682 = 91388
Step 135: 91388 + 682 = 92070
Step 136: 92070 + 682 = 92752
Step 137: 92752 + 682 = 93434
Step 138: 93434 + 682 = 94116
Step 139: 94116 + 682 = 94798
Step 140: 94798 + 682 = 95480
Step 141: 95480 + 682 = 96162
Step 142: 96162 + 682 = 96844
Step 143: 96844 + 682 = 97526
Step 144: 97526 + 682 = 98208
Step 145: 98208 + 682 = 98890
Step 146: 98890 + 682 = 99572
Step 147: 99572 + 682 = 100254
Step 148: 100254 + 682 = 100936
Step 149: 100936 + 682 = 101618
Step 150: 101618 + 682 = 102300
Step 151: 102300 + 682 = 102982
Step 152: 102982 + 682 = 103664
Step 153: 103664 + 682 = 104346
Step 154: 104346 + 682 = 105028
Step 155: 105028 + 682 = 105710
Step 156: 105710 + 682 = 106392
Step 157: 106392 + 682 = 107074
Step 158: 107074 + 682 = 107756
Step 159: 107756 + 682 = 108438
Step 160: 108438 + 682 = 109120
Step 161: 109120 + 682 = 109802
Step 162: 109802 + 682 = 110484
Step 163: 110484 + 682 = 111166
Step 164: 111166 + 682 = 111848
Step 165: 111848 + 682 = 112530
Step 166: 112530 + 682 = 113212
Step 167: 113212 + 682 = 113894
Step 168: 113894 + 682 = 114576
Step 169: 114576 + 682 = 115258
Step 170: 115258 + 682 = 115940
Step 171: 115940 + 682 = 116622
Step 172: 116622 + 682 = 117304
Step 173: 117304 + 682 = 117986
Step 174: 117986 + 682 = 118668
Step 175: 118668 + 682 = 119350
Step 176: 119350 + 682 = 120032
Step 177: 120032 + 682 = 120714
Step 178: 120714 + 682 = 121396
Step 179: 121396 + 682 = 122078
Step 180: 122078 + 682 = 122760
Step 181: 122760 + 682 = 123442
Step 182: 123442 + 682 = 124124
Step 183: 124124 + 682 = 124806
Step 184: 124806 + 682 = 125488
Step 185: 125488 + 682 = 126170
Step 186: 126170 + 682 = 126852
Step 187: 126852 + 682 = 127534
Step 188: 127534 + 682 = 128216
Step 189: 128216 + 682 = 128898
Step 190: 128898 + 682 = 129580
Step 191: 129580 + 682 = 130262
Step 192: 130262 + 682 = 130944
Step 193: 130944 + 682 = 131626
Step 194: 131626 + 682 = 132308
Step 195: 132308 + 682 = 132990
Step 196: 132990 + 682 = 133672
Step 197: 133672 + 682 = 134354
Step 198: 134354 + 682 = 135036
Step 199: 135036 + 682 = 135718
Step 200: 135718 + 682 = 136400
Step 201: 136400 + 682 = 137082
Step 202: 137082 + 682 = 137764
Step 203: 137764 + 682 = 138446
Step 204: 138446 + 682 = 139128
Step 205: 139128 + 682 = 139810
Step 206: 139810 + 682 = 140492
Step 207: 140492 + 682 = 141174
Step 208: 141174 + 682 = 141856
Step 209: 141856 + 682 = 142538
Step 210: 142538 + 682 = 143220
Step 211: 143220 + 682 = 143902
Step 212: 143902 + 682 = 144584
Step 213: 144584 + 682 = 145266
Step 214: 145266 + 682 = 145948
Step 215: 145948 + 682 = 146630
Step 216: 146630 + 682 = 147312
Step 217: 147312 + 682 = 147994
Step 218: 147994 + 682 = 148676
Step 219: 148676 + 682 = 149358
Step 220: 149358 + 682 = 150040
Step 221: 150040 + 682 = 150722
Step 222: 150722 + 682 = 151404
Step 223: 151404 + 682 = 152086
Step 224: 152086 + 682 = 152768
Step 225: 152768 + 682 = 153450
Step 226: 153450 + 682 = 154132
Step 227: 154132 + 682 = 154814
Step 228: 154814 + 682 = 155496
Step 229: 155496 + 682 = 156178
Step 230: 156178 + 682 = 156860
Step 231: 156860 + 682 = 157542
Step 232: 157542 + 682 = 158224
Step 233: 158224 + 682 = 158906
Step 234: 158906 + 682 = 159588
Step 235: 159588 + 682 = 160270
Step 236: 160270 + 682 = 160952
Step 237: 160952 + 682 = 161634
Step 238: 161634 + 682 = 162316
Step 239: 162316 + 682 = 162998
Step 240: 162998 + 682 = 163680
Step 241: 163680 + 682 = 164362
Step 242: 164362 + 682 = 165044
Step 243: 165044 + 682 = 165726
Step 244: 165726 + 682 = 166408
Step 245: 166408 + 682 = 167090
Step 246: 167090 + 682 = 167772
Step 247: 167772 + 682 = 168454
Step 248: 168454 + 682 = 169136
Step 249: 169136 + 682 = 169818
Step 250: 169818 + 682 = 170500
Step 251: 170500 + 682 = 171182
Step 252: 171182 + 682 = 171864
Step 253: 171864 + 682 = 172546
Step 254: 172546 + 682 = 173228
Step 255: 173228 + 682 = 173910
Step 256: 173910 + 682 = 174592
Step 257: 174592 + 682 = 175274
Step 258: 175274 + 682 = 175956
Step 259: 175956 + 682 = 176638
Step 260: 176638 + 682 = 177320
Step 261: 177320 + 682 = 178002
Step 262: 178002 + 682 = 178684
Step 263: 178684 + 682 = 179366
Step 264: 179366 + 682 = 180048
Step 265: 180048 + 682 = 180730
Step 266: 180730 + 682 = 181412
Step 267: 181412 + 682 = 182094
Step 268: 182094 + 682 = 182776
Step 269: 182776 + 682 = 183458
Step 270: 183458 + 682 = 184140
Step 271: 184140 + 682 = 184822
Step 272: 184822 + 682 = 185504
Step 273: 185504 + 682 = 186186
Step 274: 186186 + 682 = 186868
Step 275: 186868 + 682 = 187550
Step 276: 187550 + 682 = 188232
Step 277: 188232 + 682 = 188914
Step 278: 188914 + 682 = 189596
Step 279: 189596 + 682 = 190278
Step 280: 190278 + 682 = 190960
Step 281: 190960 + 682 = 191642
Step 282: 191642 + 682 = 192324
Step 283: 192324 + 682 = 193006
Step 284: 193006 + 682 = 193688
Step 285: 193688 + 682 = 194370
Step 286: 194370 + 682 = 195052
Step 287: 195052 + 682 = 195734
Step 288: 195734 + 682 = 196416
Step 289: 196416 + 682 = 197098
Step 290: 197098 + 682 = 197780
Step 291: 197780 + 682 = 198462
Step 292: 198462 + 682 = 199144
Step 293: 199144 + 682 = 199826
Step 294: 199826 + 682 = 200508
Step 295: 200508 + 682 = 201190
Step 296: 201190 + 682 = 201872
Step 297: 201872 + 682 = 202554
Step 298: 202554 + 682 = 203236
Step 299: 203236 + 682 = 203918
Step 300: 203918 + 682 = 204600
Step 301: 204600 + 682 = 205282
Step 302: 205282 + 682 = 205964
Step 303: 205964 + 682 = 206646
Step 304: 206646 + 682 = 207328
Step 305: 207328 + 682 = 208010
Step 306: 208010 + 682 = 208692
Step 307: 208692 + 682 = 209374
Step 308: 209374 + 682 = 210056
Step 309: 210056 + 682 = 210738
Step 310: 210738 + 682 = 211420
Step 311: 211420 + 682 = 212102
Step 312: 212102 + 682 = 212784
Step 313: 212784 + 682 = 213466
Step 314: 213466 + 682 = 214148
Step 315: 214148 + 682 = 214830
Step 316: 214830 + 682 = 215512
Step 317: 215512 + 682 = 216194
Step 318: 216194 + 682 = 216876
Step 319: 216876 + 682 = 217558
Step 320: 217558 + 682 = 218240
Step 321: 218240 + 682 = 218922
Step 322: 218922 + 682 = 219604
Step 323: 219604 + 682 = 220286
Step 324: 220286 + 682 = 220968
Step 325: 220968 + 682 = 221650
Step 326: 221650 + 682 = 222332
Step 327: 222332 + 682 = 223014
Step 328: 223014 + 682 = 223696
Step 329: 223696 + 682 = 224378
Step 330: 224378 + 682 = 225060
Step 331: 225060 + 682 = 225742
Step 332: 225742 + 682 = 226424
Step 333: 226424 + 682 = 227106
Step 334: 227106 + 682 = 227788
Step 335: 227788 + 682 = 228470
Step 336: 228470 + 682 = 229152
Step 337: 229152 + 682 = 229834
Step 338: 229834 + 682 = 230516
Step 339: 230516 + 682 = 231198
Step 340: 231198 + 682 = 231880
Step 341: 231880 + 682 = 232562
Step 342: 232562 + 682 = 233244
Step 343: 233244 + 682 = 233926
Step 344: 233926 + 682 = 234608
Step 345: 234608 + 682 = 235290
Step 346: 235290 + 682 = 235972
Step 347: 235972 + 682 = 236654
Step 348: 236654 + 682 = 237336
Step 349: 237336 + 682 = 238018
Step 350: 238018 + 682 = 238700
Step 351: 238700 + 682 = 239382
Step 352: 239382 + 682 = 240064
Step 353: 240064 + 682 = 240746
Step 354: 240746 + 682 = 241428
Step 355: 241428 + 682 = 242110
Step 356: 242110 + 682 = 242792
Step 357: 242792 + 682 = 243474
Step 358: 243474 + 682 = 244156
Step 359: 244156 + 682 = 244838
Step 360: 244838 + 682 = 245520
Step 361: 245520 + 682 = 246202
Step 362: 246202 + 682 = 246884
Step 363: 246884 + 682 = 247566
Step 364: 247566 + 682 = 248248
Step 365: 248248 + 682 = 248930
Step 366: 248930 + 682 = 249612
Step 367: 249612 + 682 = 250294
Step 368: 250294 + 682 = 250976
Step 369: 250976 + 682 = 251658
Step 370: 251658 + 682 = 252340
Step 371: 252340 + 682 = 253022
Step 372: 253022 + 682 = 253704
Step 373: 253704 + 682 = 254386
Step 374: 254386 + 682 = 255068
Step 375: 255068 + 682 = 255750
Step 376: 255750 + 682 = 256432
Step 377: 256432 + 682 = 257114
Step 378: 257114 + 682 = 257796
Step 379: 257796 + 682 = 258478
Step 380: 258478 + 682 = 259160
Step 381: 259160 + 682 = 259842
Step 382: 259842 + 682 = 260524
Step 383: 260524 + 682 = 261206
Step 384: 261206 + 682 = 261888
Step 385: 261888 + 682 = 262570
Step 386: 262570 + 682 = 263252
Step 387: 263252 + 682 = 263934
Step 388: 263934 + 682 = 264616
Step 389: 264616 + 682 = 265298
Step 390: 265298 + 682 = 265980
Step 391: 265980 + 682 = 266662
Step 392: 266662 + 682 = 267344
Step 393: 267344 + 682 = 268026
Step 394: 268026 + 682 = 268708
Step 395: 268708 + 682 = 269390
Step 396: 269390 + 682 = 270072
Step 397: 270072 + 682 = 270754
Step 398: 270754 + 682 = 271436
Step 399: 271436 + 682 = 272118
Step 400: 272118 + 682 = 272800
Step 401: 272800 + 682 = 273482
Step 402: 273482 + 682 = 274164
Step 403: 274164 + 682 = 274846
Step 404: 274846 + 682 = 275528
Step 405: 275528 + 682 = 276210
Step 406: 276210 + 682 = 276892
Step 407: 276892 + 682 = 277574

So, 682*407 = 277574