Let's roll up our sleeves and solve this. We have 909 and we're going to multiply it by 261, essentially adding 909 to itself 261 times.
Step 1: 0 + 909 = 909
Step 2: 909 + 909 = 1818
Step 3: 1818 + 909 = 2727
Step 4: 2727 + 909 = 3636
Step 5: 3636 + 909 = 4545
Step 6: 4545 + 909 = 5454
Step 7: 5454 + 909 = 6363
Step 8: 6363 + 909 = 7272
Step 9: 7272 + 909 = 8181
Step 10: 8181 + 909 = 9090
Step 11: 9090 + 909 = 9999
Step 12: 9999 + 909 = 10908
Step 13: 10908 + 909 = 11817
Step 14: 11817 + 909 = 12726
Step 15: 12726 + 909 = 13635
Step 16: 13635 + 909 = 14544
Step 17: 14544 + 909 = 15453
Step 18: 15453 + 909 = 16362
Step 19: 16362 + 909 = 17271
Step 20: 17271 + 909 = 18180
Step 21: 18180 + 909 = 19089
Step 22: 19089 + 909 = 19998
Step 23: 19998 + 909 = 20907
Step 24: 20907 + 909 = 21816
Step 25: 21816 + 909 = 22725
Step 26: 22725 + 909 = 23634
Step 27: 23634 + 909 = 24543
Step 28: 24543 + 909 = 25452
Step 29: 25452 + 909 = 26361
Step 30: 26361 + 909 = 27270
Step 31: 27270 + 909 = 28179
Step 32: 28179 + 909 = 29088
Step 33: 29088 + 909 = 29997
Step 34: 29997 + 909 = 30906
Step 35: 30906 + 909 = 31815
Step 36: 31815 + 909 = 32724
Step 37: 32724 + 909 = 33633
Step 38: 33633 + 909 = 34542
Step 39: 34542 + 909 = 35451
Step 40: 35451 + 909 = 36360
Step 41: 36360 + 909 = 37269
Step 42: 37269 + 909 = 38178
Step 43: 38178 + 909 = 39087
Step 44: 39087 + 909 = 39996
Step 45: 39996 + 909 = 40905
Step 46: 40905 + 909 = 41814
Step 47: 41814 + 909 = 42723
Step 48: 42723 + 909 = 43632
Step 49: 43632 + 909 = 44541
Step 50: 44541 + 909 = 45450
Step 51: 45450 + 909 = 46359
Step 52: 46359 + 909 = 47268
Step 53: 47268 + 909 = 48177
Step 54: 48177 + 909 = 49086
Step 55: 49086 + 909 = 49995
Step 56: 49995 + 909 = 50904
Step 57: 50904 + 909 = 51813
Step 58: 51813 + 909 = 52722
Step 59: 52722 + 909 = 53631
Step 60: 53631 + 909 = 54540
Step 61: 54540 + 909 = 55449
Step 62: 55449 + 909 = 56358
Step 63: 56358 + 909 = 57267
Step 64: 57267 + 909 = 58176
Step 65: 58176 + 909 = 59085
Step 66: 59085 + 909 = 59994
Step 67: 59994 + 909 = 60903
Step 68: 60903 + 909 = 61812
Step 69: 61812 + 909 = 62721
Step 70: 62721 + 909 = 63630
Step 71: 63630 + 909 = 64539
Step 72: 64539 + 909 = 65448
Step 73: 65448 + 909 = 66357
Step 74: 66357 + 909 = 67266
Step 75: 67266 + 909 = 68175
Step 76: 68175 + 909 = 69084
Step 77: 69084 + 909 = 69993
Step 78: 69993 + 909 = 70902
Step 79: 70902 + 909 = 71811
Step 80: 71811 + 909 = 72720
Step 81: 72720 + 909 = 73629
Step 82: 73629 + 909 = 74538
Step 83: 74538 + 909 = 75447
Step 84: 75447 + 909 = 76356
Step 85: 76356 + 909 = 77265
Step 86: 77265 + 909 = 78174
Step 87: 78174 + 909 = 79083
Step 88: 79083 + 909 = 79992
Step 89: 79992 + 909 = 80901
Step 90: 80901 + 909 = 81810
Step 91: 81810 + 909 = 82719
Step 92: 82719 + 909 = 83628
Step 93: 83628 + 909 = 84537
Step 94: 84537 + 909 = 85446
Step 95: 85446 + 909 = 86355
Step 96: 86355 + 909 = 87264
Step 97: 87264 + 909 = 88173
Step 98: 88173 + 909 = 89082
Step 99: 89082 + 909 = 89991
Step 100: 89991 + 909 = 90900
Step 101: 90900 + 909 = 91809
Step 102: 91809 + 909 = 92718
Step 103: 92718 + 909 = 93627
Step 104: 93627 + 909 = 94536
Step 105: 94536 + 909 = 95445
Step 106: 95445 + 909 = 96354
Step 107: 96354 + 909 = 97263
Step 108: 97263 + 909 = 98172
Step 109: 98172 + 909 = 99081
Step 110: 99081 + 909 = 99990
Step 111: 99990 + 909 = 100899
Step 112: 100899 + 909 = 101808
Step 113: 101808 + 909 = 102717
Step 114: 102717 + 909 = 103626
Step 115: 103626 + 909 = 104535
Step 116: 104535 + 909 = 105444
Step 117: 105444 + 909 = 106353
Step 118: 106353 + 909 = 107262
Step 119: 107262 + 909 = 108171
Step 120: 108171 + 909 = 109080
Step 121: 109080 + 909 = 109989
Step 122: 109989 + 909 = 110898
Step 123: 110898 + 909 = 111807
Step 124: 111807 + 909 = 112716
Step 125: 112716 + 909 = 113625
Step 126: 113625 + 909 = 114534
Step 127: 114534 + 909 = 115443
Step 128: 115443 + 909 = 116352
Step 129: 116352 + 909 = 117261
Step 130: 117261 + 909 = 118170
Step 131: 118170 + 909 = 119079
Step 132: 119079 + 909 = 119988
Step 133: 119988 + 909 = 120897
Step 134: 120897 + 909 = 121806
Step 135: 121806 + 909 = 122715
Step 136: 122715 + 909 = 123624
Step 137: 123624 + 909 = 124533
Step 138: 124533 + 909 = 125442
Step 139: 125442 + 909 = 126351
Step 140: 126351 + 909 = 127260
Step 141: 127260 + 909 = 128169
Step 142: 128169 + 909 = 129078
Step 143: 129078 + 909 = 129987
Step 144: 129987 + 909 = 130896
Step 145: 130896 + 909 = 131805
Step 146: 131805 + 909 = 132714
Step 147: 132714 + 909 = 133623
Step 148: 133623 + 909 = 134532
Step 149: 134532 + 909 = 135441
Step 150: 135441 + 909 = 136350
Step 151: 136350 + 909 = 137259
Step 152: 137259 + 909 = 138168
Step 153: 138168 + 909 = 139077
Step 154: 139077 + 909 = 139986
Step 155: 139986 + 909 = 140895
Step 156: 140895 + 909 = 141804
Step 157: 141804 + 909 = 142713
Step 158: 142713 + 909 = 143622
Step 159: 143622 + 909 = 144531
Step 160: 144531 + 909 = 145440
Step 161: 145440 + 909 = 146349
Step 162: 146349 + 909 = 147258
Step 163: 147258 + 909 = 148167
Step 164: 148167 + 909 = 149076
Step 165: 149076 + 909 = 149985
Step 166: 149985 + 909 = 150894
Step 167: 150894 + 909 = 151803
Step 168: 151803 + 909 = 152712
Step 169: 152712 + 909 = 153621
Step 170: 153621 + 909 = 154530
Step 171: 154530 + 909 = 155439
Step 172: 155439 + 909 = 156348
Step 173: 156348 + 909 = 157257
Step 174: 157257 + 909 = 158166
Step 175: 158166 + 909 = 159075
Step 176: 159075 + 909 = 159984
Step 177: 159984 + 909 = 160893
Step 178: 160893 + 909 = 161802
Step 179: 161802 + 909 = 162711
Step 180: 162711 + 909 = 163620
Step 181: 163620 + 909 = 164529
Step 182: 164529 + 909 = 165438
Step 183: 165438 + 909 = 166347
Step 184: 166347 + 909 = 167256
Step 185: 167256 + 909 = 168165
Step 186: 168165 + 909 = 169074
Step 187: 169074 + 909 = 169983
Step 188: 169983 + 909 = 170892
Step 189: 170892 + 909 = 171801
Step 190: 171801 + 909 = 172710
Step 191: 172710 + 909 = 173619
Step 192: 173619 + 909 = 174528
Step 193: 174528 + 909 = 175437
Step 194: 175437 + 909 = 176346
Step 195: 176346 + 909 = 177255
Step 196: 177255 + 909 = 178164
Step 197: 178164 + 909 = 179073
Step 198: 179073 + 909 = 179982
Step 199: 179982 + 909 = 180891
Step 200: 180891 + 909 = 181800
Step 201: 181800 + 909 = 182709
Step 202: 182709 + 909 = 183618
Step 203: 183618 + 909 = 184527
Step 204: 184527 + 909 = 185436
Step 205: 185436 + 909 = 186345
Step 206: 186345 + 909 = 187254
Step 207: 187254 + 909 = 188163
Step 208: 188163 + 909 = 189072
Step 209: 189072 + 909 = 189981
Step 210: 189981 + 909 = 190890
Step 211: 190890 + 909 = 191799
Step 212: 191799 + 909 = 192708
Step 213: 192708 + 909 = 193617
Step 214: 193617 + 909 = 194526
Step 215: 194526 + 909 = 195435
Step 216: 195435 + 909 = 196344
Step 217: 196344 + 909 = 197253
Step 218: 197253 + 909 = 198162
Step 219: 198162 + 909 = 199071
Step 220: 199071 + 909 = 199980
Step 221: 199980 + 909 = 200889
Step 222: 200889 + 909 = 201798
Step 223: 201798 + 909 = 202707
Step 224: 202707 + 909 = 203616
Step 225: 203616 + 909 = 204525
Step 226: 204525 + 909 = 205434
Step 227: 205434 + 909 = 206343
Step 228: 206343 + 909 = 207252
Step 229: 207252 + 909 = 208161
Step 230: 208161 + 909 = 209070
Step 231: 209070 + 909 = 209979
Step 232: 209979 + 909 = 210888
Step 233: 210888 + 909 = 211797
Step 234: 211797 + 909 = 212706
Step 235: 212706 + 909 = 213615
Step 236: 213615 + 909 = 214524
Step 237: 214524 + 909 = 215433
Step 238: 215433 + 909 = 216342
Step 239: 216342 + 909 = 217251
Step 240: 217251 + 909 = 218160
Step 241: 218160 + 909 = 219069
Step 242: 219069 + 909 = 219978
Step 243: 219978 + 909 = 220887
Step 244: 220887 + 909 = 221796
Step 245: 221796 + 909 = 222705
Step 246: 222705 + 909 = 223614
Step 247: 223614 + 909 = 224523
Step 248: 224523 + 909 = 225432
Step 249: 225432 + 909 = 226341
Step 250: 226341 + 909 = 227250
Step 251: 227250 + 909 = 228159
Step 252: 228159 + 909 = 229068
Step 253: 229068 + 909 = 229977
Step 254: 229977 + 909 = 230886
Step 255: 230886 + 909 = 231795
Step 256: 231795 + 909 = 232704
Step 257: 232704 + 909 = 233613
Step 258: 233613 + 909 = 234522
Step 259: 234522 + 909 = 235431
Step 260: 235431 + 909 = 236340
Step 261: 236340 + 909 = 237249

So, 909*261 = 237249