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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 291 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.142635 ÷ 988 =
  2. 2.18607 ÷ 97 =
  3. 3.61304 ÷ 88 =
  4. 4.48840 ÷ 98 =
  5. 5.187350 ÷ 988 =
  6. 6.49173 ÷ 88 =
  7. 7.45364 ÷ 89 =
  8. 8.193922 ÷ 988 =
  9. 9.750308 ÷ 997 =
  10. 10.287920 ÷ 988 =
  11. 11.9457 ÷ 8 =
  12. 12.82489 ÷ 97 =
  13. 13.397246 ÷ 998 =
  14. 14.67756 ÷ 989 =
  15. 15.777887 ÷ 897 =
  16. 16.22279 ÷ 96 =
  17. 17.653663 ÷ 989 =
  18. 18.11489 ÷ 88 =
  19. 19.239072 ÷ 997 =
  20. 20.334442 ÷ 997 =
  21. 21.6059 ÷ 8 =
  22. 22.51961 ÷ 98 =
  23. 23.1996 ÷ 96 =
  24. 24.167456 ÷ 988 =
  25. 25.387091 ÷ 998 =
  26. 26.19174 ÷ 89 =
  27. 27.343066 ÷ 897 =
  28. 28.939276 ÷ 989 =
  29. 29.984547 ÷ 989 =
  30. 30.48221 ÷ 88 =
  31. 31.9085 ÷ 8 =
  32. 32.141 ÷ 8 =
  33. 33.90996 ÷ 98 =
  34. 34.94918 ÷ 89 =
  35. 35.71084 ÷ 98 =
  36. 36.211749 ÷ 988 =
  37. 37.27573 ÷ 98 =
  38. 38.10918 ÷ 89 =
  39. 39.21480 ÷ 88 =
  40. 40.426624 ÷ 998 =

Answer key

  1. 144 rem 363
  2. 191 rem 80
  3. 696 rem 56
  4. 498 rem 36
  5. 189 rem 618
  6. 558 rem 69
  7. 509 rem 63
  8. 196 rem 274
  9. 752 rem 564
  10. 291 rem 412
  11. 1182 rem 1
  12. 850 rem 39
  13. 398 rem 42
  14. 68 rem 504
  15. 867 rem 188
  16. 232 rem 7
  17. 660 rem 923
  18. 130 rem 49
  19. 239 rem 789
  20. 335 rem 447
  21. 757 rem 3
  22. 530 rem 21
  23. 20 rem 76
  24. 169 rem 484
  25. 387 rem 865
  26. 215 rem 39
  27. 382 rem 412
  28. 949 rem 715
  29. 995 rem 492
  30. 547 rem 85
  31. 1135 rem 5
  32. 17 rem 5
  33. 928 rem 52
  34. 1066 rem 44
  35. 725 rem 34
  36. 214 rem 317
  37. 281 rem 35
  38. 122 rem 60
  39. 244 rem 8
  40. 427 rem 478

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