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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 686 · 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. 1.681615 ÷ 998 =
  2. 2.5607 ÷ 97 =
  3. 3.732660 ÷ 897 =
  4. 4.3356 ÷ 8 =
  5. 5.95140 ÷ 97 =
  6. 6.16831 ÷ 88 =
  7. 7.8204 ÷ 8 =
  8. 8.28337 ÷ 89 =
  9. 9.189980 ÷ 997 =
  10. 10.2885 ÷ 97 =
  11. 11.18671 ÷ 98 =
  12. 12.814228 ÷ 989 =
  13. 13.12477 ÷ 998 =
  14. 14.8069 ÷ 8 =
  15. 15.78804 ÷ 997 =
  16. 16.77877 ÷ 989 =
  17. 17.99458 ÷ 89 =
  18. 18.72920 ÷ 88 =
  19. 19.808921 ÷ 997 =
  20. 20.336947 ÷ 989 =
  21. 21.616985 ÷ 897 =
  22. 22.3913 ÷ 8 =
  23. 23.23007 ÷ 96 =
  24. 24.611615 ÷ 997 =
  25. 25.197359 ÷ 998 =
  26. 26.948182 ÷ 988 =
  27. 27.915908 ÷ 988 =
  28. 28.98894 ÷ 97 =
  29. 29.50182 ÷ 98 =
  30. 30.191303 ÷ 989 =
  31. 31.4703 ÷ 8 =
  32. 32.27093 ÷ 98 =
  33. 33.37430 ÷ 88 =
  34. 34.468746 ÷ 998 =
  35. 35.673268 ÷ 988 =
  36. 36.978 ÷ 8 =
  37. 37.61759 ÷ 96 =
  38. 38.85275 ÷ 998 =
  39. 39.299155 ÷ 997 =
  40. 40.87208 ÷ 88 =

Answer key

  1. 682 rem 979
  2. 57 rem 78
  3. 816 rem 708
  4. 419 rem 4
  5. 980 rem 80
  6. 191 rem 23
  7. 1025 rem 4
  8. 318 rem 35
  9. 190 rem 550
  10. 29 rem 72
  11. 190 rem 51
  12. 823 rem 281
  13. 12 rem 501
  14. 1008 rem 5
  15. 79 rem 41
  16. 78 rem 735
  17. 1117 rem 45
  18. 828 rem 56
  19. 811 rem 354
  20. 340 rem 687
  21. 687 rem 746
  22. 489 rem 1
  23. 239 rem 63
  24. 613 rem 454
  25. 197 rem 753
  26. 959 rem 690
  27. 927 rem 32
  28. 1019 rem 51
  29. 512 rem 6
  30. 193 rem 426
  31. 587 rem 7
  32. 276 rem 45
  33. 425 rem 30
  34. 469 rem 684
  35. 681 rem 440
  36. 122 rem 2
  37. 643 rem 31
  38. 85 rem 445
  39. 300 rem 55
  40. 991 rem 0

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