OK, let's crack this. We're given 10 and our task is to multiply it by 171. Essentially, we'll be adding 10 to itself 171 times.
Step 1: 0 + 10 = 10
Step 2: 10 + 10 = 20
Step 3: 20 + 10 = 30
Step 4: 30 + 10 = 40
Step 5: 40 + 10 = 50
Step 6: 50 + 10 = 60
Step 7: 60 + 10 = 70
Step 8: 70 + 10 = 80
Step 9: 80 + 10 = 90
Step 10: 90 + 10 = 100
Step 11: 100 + 10 = 110
Step 12: 110 + 10 = 120
Step 13: 120 + 10 = 130
Step 14: 130 + 10 = 140
Step 15: 140 + 10 = 150
Step 16: 150 + 10 = 160
Step 17: 160 + 10 = 170
Step 18: 170 + 10 = 180
Step 19: 180 + 10 = 190
Step 20: 190 + 10 = 200
Step 21: 200 + 10 = 210
Step 22: 210 + 10 = 220
Step 23: 220 + 10 = 230
Step 24: 230 + 10 = 240
Step 25: 240 + 10 = 250
Step 26: 250 + 10 = 260
Step 27: 260 + 10 = 270
Step 28: 270 + 10 = 280
Step 29: 280 + 10 = 290
Step 30: 290 + 10 = 300
Step 31: 300 + 10 = 310
Step 32: 310 + 10 = 320
Step 33: 320 + 10 = 330
Step 34: 330 + 10 = 340
Step 35: 340 + 10 = 350
Step 36: 350 + 10 = 360
Step 37: 360 + 10 = 370
Step 38: 370 + 10 = 380
Step 39: 380 + 10 = 390
Step 40: 390 + 10 = 400
Step 41: 400 + 10 = 410
Step 42: 410 + 10 = 420
Step 43: 420 + 10 = 430
Step 44: 430 + 10 = 440
Step 45: 440 + 10 = 450
Step 46: 450 + 10 = 460
Step 47: 460 + 10 = 470
Step 48: 470 + 10 = 480
Step 49: 480 + 10 = 490
Step 50: 490 + 10 = 500
Step 51: 500 + 10 = 510
Step 52: 510 + 10 = 520
Step 53: 520 + 10 = 530
Step 54: 530 + 10 = 540
Step 55: 540 + 10 = 550
Step 56: 550 + 10 = 560
Step 57: 560 + 10 = 570
Step 58: 570 + 10 = 580
Step 59: 580 + 10 = 590
Step 60: 590 + 10 = 600
Step 61: 600 + 10 = 610
Step 62: 610 + 10 = 620
Step 63: 620 + 10 = 630
Step 64: 630 + 10 = 640
Step 65: 640 + 10 = 650
Step 66: 650 + 10 = 660
Step 67: 660 + 10 = 670
Step 68: 670 + 10 = 680
Step 69: 680 + 10 = 690
Step 70: 690 + 10 = 700
Step 71: 700 + 10 = 710
Step 72: 710 + 10 = 720
Step 73: 720 + 10 = 730
Step 74: 730 + 10 = 740
Step 75: 740 + 10 = 750
Step 76: 750 + 10 = 760
Step 77: 760 + 10 = 770
Step 78: 770 + 10 = 780
Step 79: 780 + 10 = 790
Step 80: 790 + 10 = 800
Step 81: 800 + 10 = 810
Step 82: 810 + 10 = 820
Step 83: 820 + 10 = 830
Step 84: 830 + 10 = 840
Step 85: 840 + 10 = 850
Step 86: 850 + 10 = 860
Step 87: 860 + 10 = 870
Step 88: 870 + 10 = 880
Step 89: 880 + 10 = 890
Step 90: 890 + 10 = 900
Step 91: 900 + 10 = 910
Step 92: 910 + 10 = 920
Step 93: 920 + 10 = 930
Step 94: 930 + 10 = 940
Step 95: 940 + 10 = 950
Step 96: 950 + 10 = 960
Step 97: 960 + 10 = 970
Step 98: 970 + 10 = 980
Step 99: 980 + 10 = 990
Step 100: 990 + 10 = 1000
Step 101: 1000 + 10 = 1010
Step 102: 1010 + 10 = 1020
Step 103: 1020 + 10 = 1030
Step 104: 1030 + 10 = 1040
Step 105: 1040 + 10 = 1050
Step 106: 1050 + 10 = 1060
Step 107: 1060 + 10 = 1070
Step 108: 1070 + 10 = 1080
Step 109: 1080 + 10 = 1090
Step 110: 1090 + 10 = 1100
Step 111: 1100 + 10 = 1110
Step 112: 1110 + 10 = 1120
Step 113: 1120 + 10 = 1130
Step 114: 1130 + 10 = 1140
Step 115: 1140 + 10 = 1150
Step 116: 1150 + 10 = 1160
Step 117: 1160 + 10 = 1170
Step 118: 1170 + 10 = 1180
Step 119: 1180 + 10 = 1190
Step 120: 1190 + 10 = 1200
Step 121: 1200 + 10 = 1210
Step 122: 1210 + 10 = 1220
Step 123: 1220 + 10 = 1230
Step 124: 1230 + 10 = 1240
Step 125: 1240 + 10 = 1250
Step 126: 1250 + 10 = 1260
Step 127: 1260 + 10 = 1270
Step 128: 1270 + 10 = 1280
Step 129: 1280 + 10 = 1290
Step 130: 1290 + 10 = 1300
Step 131: 1300 + 10 = 1310
Step 132: 1310 + 10 = 1320
Step 133: 1320 + 10 = 1330
Step 134: 1330 + 10 = 1340
Step 135: 1340 + 10 = 1350
Step 136: 1350 + 10 = 1360
Step 137: 1360 + 10 = 1370
Step 138: 1370 + 10 = 1380
Step 139: 1380 + 10 = 1390
Step 140: 1390 + 10 = 1400
Step 141: 1400 + 10 = 1410
Step 142: 1410 + 10 = 1420
Step 143: 1420 + 10 = 1430
Step 144: 1430 + 10 = 1440
Step 145: 1440 + 10 = 1450
Step 146: 1450 + 10 = 1460
Step 147: 1460 + 10 = 1470
Step 148: 1470 + 10 = 1480
Step 149: 1480 + 10 = 1490
Step 150: 1490 + 10 = 1500
Step 151: 1500 + 10 = 1510
Step 152: 1510 + 10 = 1520
Step 153: 1520 + 10 = 1530
Step 154: 1530 + 10 = 1540
Step 155: 1540 + 10 = 1550
Step 156: 1550 + 10 = 1560
Step 157: 1560 + 10 = 1570
Step 158: 1570 + 10 = 1580
Step 159: 1580 + 10 = 1590
Step 160: 1590 + 10 = 1600
Step 161: 1600 + 10 = 1610
Step 162: 1610 + 10 = 1620
Step 163: 1620 + 10 = 1630
Step 164: 1630 + 10 = 1640
Step 165: 1640 + 10 = 1650
Step 166: 1650 + 10 = 1660
Step 167: 1660 + 10 = 1670
Step 168: 1670 + 10 = 1680
Step 169: 1680 + 10 = 1690
Step 170: 1690 + 10 = 1700
Step 171: 1700 + 10 = 1710

So, 10*171 = 1710