OK, let's crack this. We're given 824 and our task is to multiply it by 261. Essentially, we'll be adding 824 to itself 261 times.
Step 1: 0 + 824 = 824
Step 2: 824 + 824 = 1648
Step 3: 1648 + 824 = 2472
Step 4: 2472 + 824 = 3296
Step 5: 3296 + 824 = 4120
Step 6: 4120 + 824 = 4944
Step 7: 4944 + 824 = 5768
Step 8: 5768 + 824 = 6592
Step 9: 6592 + 824 = 7416
Step 10: 7416 + 824 = 8240
Step 11: 8240 + 824 = 9064
Step 12: 9064 + 824 = 9888
Step 13: 9888 + 824 = 10712
Step 14: 10712 + 824 = 11536
Step 15: 11536 + 824 = 12360
Step 16: 12360 + 824 = 13184
Step 17: 13184 + 824 = 14008
Step 18: 14008 + 824 = 14832
Step 19: 14832 + 824 = 15656
Step 20: 15656 + 824 = 16480
Step 21: 16480 + 824 = 17304
Step 22: 17304 + 824 = 18128
Step 23: 18128 + 824 = 18952
Step 24: 18952 + 824 = 19776
Step 25: 19776 + 824 = 20600
Step 26: 20600 + 824 = 21424
Step 27: 21424 + 824 = 22248
Step 28: 22248 + 824 = 23072
Step 29: 23072 + 824 = 23896
Step 30: 23896 + 824 = 24720
Step 31: 24720 + 824 = 25544
Step 32: 25544 + 824 = 26368
Step 33: 26368 + 824 = 27192
Step 34: 27192 + 824 = 28016
Step 35: 28016 + 824 = 28840
Step 36: 28840 + 824 = 29664
Step 37: 29664 + 824 = 30488
Step 38: 30488 + 824 = 31312
Step 39: 31312 + 824 = 32136
Step 40: 32136 + 824 = 32960
Step 41: 32960 + 824 = 33784
Step 42: 33784 + 824 = 34608
Step 43: 34608 + 824 = 35432
Step 44: 35432 + 824 = 36256
Step 45: 36256 + 824 = 37080
Step 46: 37080 + 824 = 37904
Step 47: 37904 + 824 = 38728
Step 48: 38728 + 824 = 39552
Step 49: 39552 + 824 = 40376
Step 50: 40376 + 824 = 41200
Step 51: 41200 + 824 = 42024
Step 52: 42024 + 824 = 42848
Step 53: 42848 + 824 = 43672
Step 54: 43672 + 824 = 44496
Step 55: 44496 + 824 = 45320
Step 56: 45320 + 824 = 46144
Step 57: 46144 + 824 = 46968
Step 58: 46968 + 824 = 47792
Step 59: 47792 + 824 = 48616
Step 60: 48616 + 824 = 49440
Step 61: 49440 + 824 = 50264
Step 62: 50264 + 824 = 51088
Step 63: 51088 + 824 = 51912
Step 64: 51912 + 824 = 52736
Step 65: 52736 + 824 = 53560
Step 66: 53560 + 824 = 54384
Step 67: 54384 + 824 = 55208
Step 68: 55208 + 824 = 56032
Step 69: 56032 + 824 = 56856
Step 70: 56856 + 824 = 57680
Step 71: 57680 + 824 = 58504
Step 72: 58504 + 824 = 59328
Step 73: 59328 + 824 = 60152
Step 74: 60152 + 824 = 60976
Step 75: 60976 + 824 = 61800
Step 76: 61800 + 824 = 62624
Step 77: 62624 + 824 = 63448
Step 78: 63448 + 824 = 64272
Step 79: 64272 + 824 = 65096
Step 80: 65096 + 824 = 65920
Step 81: 65920 + 824 = 66744
Step 82: 66744 + 824 = 67568
Step 83: 67568 + 824 = 68392
Step 84: 68392 + 824 = 69216
Step 85: 69216 + 824 = 70040
Step 86: 70040 + 824 = 70864
Step 87: 70864 + 824 = 71688
Step 88: 71688 + 824 = 72512
Step 89: 72512 + 824 = 73336
Step 90: 73336 + 824 = 74160
Step 91: 74160 + 824 = 74984
Step 92: 74984 + 824 = 75808
Step 93: 75808 + 824 = 76632
Step 94: 76632 + 824 = 77456
Step 95: 77456 + 824 = 78280
Step 96: 78280 + 824 = 79104
Step 97: 79104 + 824 = 79928
Step 98: 79928 + 824 = 80752
Step 99: 80752 + 824 = 81576
Step 100: 81576 + 824 = 82400
Step 101: 82400 + 824 = 83224
Step 102: 83224 + 824 = 84048
Step 103: 84048 + 824 = 84872
Step 104: 84872 + 824 = 85696
Step 105: 85696 + 824 = 86520
Step 106: 86520 + 824 = 87344
Step 107: 87344 + 824 = 88168
Step 108: 88168 + 824 = 88992
Step 109: 88992 + 824 = 89816
Step 110: 89816 + 824 = 90640
Step 111: 90640 + 824 = 91464
Step 112: 91464 + 824 = 92288
Step 113: 92288 + 824 = 93112
Step 114: 93112 + 824 = 93936
Step 115: 93936 + 824 = 94760
Step 116: 94760 + 824 = 95584
Step 117: 95584 + 824 = 96408
Step 118: 96408 + 824 = 97232
Step 119: 97232 + 824 = 98056
Step 120: 98056 + 824 = 98880
Step 121: 98880 + 824 = 99704
Step 122: 99704 + 824 = 100528
Step 123: 100528 + 824 = 101352
Step 124: 101352 + 824 = 102176
Step 125: 102176 + 824 = 103000
Step 126: 103000 + 824 = 103824
Step 127: 103824 + 824 = 104648
Step 128: 104648 + 824 = 105472
Step 129: 105472 + 824 = 106296
Step 130: 106296 + 824 = 107120
Step 131: 107120 + 824 = 107944
Step 132: 107944 + 824 = 108768
Step 133: 108768 + 824 = 109592
Step 134: 109592 + 824 = 110416
Step 135: 110416 + 824 = 111240
Step 136: 111240 + 824 = 112064
Step 137: 112064 + 824 = 112888
Step 138: 112888 + 824 = 113712
Step 139: 113712 + 824 = 114536
Step 140: 114536 + 824 = 115360
Step 141: 115360 + 824 = 116184
Step 142: 116184 + 824 = 117008
Step 143: 117008 + 824 = 117832
Step 144: 117832 + 824 = 118656
Step 145: 118656 + 824 = 119480
Step 146: 119480 + 824 = 120304
Step 147: 120304 + 824 = 121128
Step 148: 121128 + 824 = 121952
Step 149: 121952 + 824 = 122776
Step 150: 122776 + 824 = 123600
Step 151: 123600 + 824 = 124424
Step 152: 124424 + 824 = 125248
Step 153: 125248 + 824 = 126072
Step 154: 126072 + 824 = 126896
Step 155: 126896 + 824 = 127720
Step 156: 127720 + 824 = 128544
Step 157: 128544 + 824 = 129368
Step 158: 129368 + 824 = 130192
Step 159: 130192 + 824 = 131016
Step 160: 131016 + 824 = 131840
Step 161: 131840 + 824 = 132664
Step 162: 132664 + 824 = 133488
Step 163: 133488 + 824 = 134312
Step 164: 134312 + 824 = 135136
Step 165: 135136 + 824 = 135960
Step 166: 135960 + 824 = 136784
Step 167: 136784 + 824 = 137608
Step 168: 137608 + 824 = 138432
Step 169: 138432 + 824 = 139256
Step 170: 139256 + 824 = 140080
Step 171: 140080 + 824 = 140904
Step 172: 140904 + 824 = 141728
Step 173: 141728 + 824 = 142552
Step 174: 142552 + 824 = 143376
Step 175: 143376 + 824 = 144200
Step 176: 144200 + 824 = 145024
Step 177: 145024 + 824 = 145848
Step 178: 145848 + 824 = 146672
Step 179: 146672 + 824 = 147496
Step 180: 147496 + 824 = 148320
Step 181: 148320 + 824 = 149144
Step 182: 149144 + 824 = 149968
Step 183: 149968 + 824 = 150792
Step 184: 150792 + 824 = 151616
Step 185: 151616 + 824 = 152440
Step 186: 152440 + 824 = 153264
Step 187: 153264 + 824 = 154088
Step 188: 154088 + 824 = 154912
Step 189: 154912 + 824 = 155736
Step 190: 155736 + 824 = 156560
Step 191: 156560 + 824 = 157384
Step 192: 157384 + 824 = 158208
Step 193: 158208 + 824 = 159032
Step 194: 159032 + 824 = 159856
Step 195: 159856 + 824 = 160680
Step 196: 160680 + 824 = 161504
Step 197: 161504 + 824 = 162328
Step 198: 162328 + 824 = 163152
Step 199: 163152 + 824 = 163976
Step 200: 163976 + 824 = 164800
Step 201: 164800 + 824 = 165624
Step 202: 165624 + 824 = 166448
Step 203: 166448 + 824 = 167272
Step 204: 167272 + 824 = 168096
Step 205: 168096 + 824 = 168920
Step 206: 168920 + 824 = 169744
Step 207: 169744 + 824 = 170568
Step 208: 170568 + 824 = 171392
Step 209: 171392 + 824 = 172216
Step 210: 172216 + 824 = 173040
Step 211: 173040 + 824 = 173864
Step 212: 173864 + 824 = 174688
Step 213: 174688 + 824 = 175512
Step 214: 175512 + 824 = 176336
Step 215: 176336 + 824 = 177160
Step 216: 177160 + 824 = 177984
Step 217: 177984 + 824 = 178808
Step 218: 178808 + 824 = 179632
Step 219: 179632 + 824 = 180456
Step 220: 180456 + 824 = 181280
Step 221: 181280 + 824 = 182104
Step 222: 182104 + 824 = 182928
Step 223: 182928 + 824 = 183752
Step 224: 183752 + 824 = 184576
Step 225: 184576 + 824 = 185400
Step 226: 185400 + 824 = 186224
Step 227: 186224 + 824 = 187048
Step 228: 187048 + 824 = 187872
Step 229: 187872 + 824 = 188696
Step 230: 188696 + 824 = 189520
Step 231: 189520 + 824 = 190344
Step 232: 190344 + 824 = 191168
Step 233: 191168 + 824 = 191992
Step 234: 191992 + 824 = 192816
Step 235: 192816 + 824 = 193640
Step 236: 193640 + 824 = 194464
Step 237: 194464 + 824 = 195288
Step 238: 195288 + 824 = 196112
Step 239: 196112 + 824 = 196936
Step 240: 196936 + 824 = 197760
Step 241: 197760 + 824 = 198584
Step 242: 198584 + 824 = 199408
Step 243: 199408 + 824 = 200232
Step 244: 200232 + 824 = 201056
Step 245: 201056 + 824 = 201880
Step 246: 201880 + 824 = 202704
Step 247: 202704 + 824 = 203528
Step 248: 203528 + 824 = 204352
Step 249: 204352 + 824 = 205176
Step 250: 205176 + 824 = 206000
Step 251: 206000 + 824 = 206824
Step 252: 206824 + 824 = 207648
Step 253: 207648 + 824 = 208472
Step 254: 208472 + 824 = 209296
Step 255: 209296 + 824 = 210120
Step 256: 210120 + 824 = 210944
Step 257: 210944 + 824 = 211768
Step 258: 211768 + 824 = 212592
Step 259: 212592 + 824 = 213416
Step 260: 213416 + 824 = 214240
Step 261: 214240 + 824 = 215064

So, 824*261 = 215064