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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 588 · 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. 1.653989 ÷ 998 =
  2. 2.33227 ÷ 96 =
  3. 3.24264 ÷ 89 =
  4. 4.39853 ÷ 97 =
  5. 5.70071 ÷ 96 =
  6. 6.46417 ÷ 96 =
  7. 7.21491 ÷ 88 =
  8. 8.51735 ÷ 988 =
  9. 9.2883 ÷ 8 =
  10. 10.740185 ÷ 998 =
  11. 11.82229 ÷ 89 =
  12. 12.23738 ÷ 97 =
  13. 13.143843 ÷ 989 =
  14. 14.366147 ÷ 998 =
  15. 15.694750 ÷ 998 =
  16. 16.25804 ÷ 96 =
  17. 17.11528 ÷ 997 =
  18. 18.9637 ÷ 8 =
  19. 19.86164 ÷ 97 =
  20. 20.604069 ÷ 989 =
  21. 21.29916 ÷ 89 =
  22. 22.47056 ÷ 88 =
  23. 23.62973 ÷ 88 =
  24. 24.308974 ÷ 988 =
  25. 25.44341 ÷ 88 =
  26. 26.65287 ÷ 89 =
  27. 27.899109 ÷ 988 =
  28. 28.19901 ÷ 98 =
  29. 29.305345 ÷ 897 =
  30. 30.47313 ÷ 96 =
  31. 31.606576 ÷ 997 =
  32. 32.20409 ÷ 97 =
  33. 33.1772 ÷ 8 =
  34. 34.553727 ÷ 897 =
  35. 35.75502 ÷ 88 =
  36. 36.914981 ÷ 988 =
  37. 37.10174 ÷ 96 =
  38. 38.46968 ÷ 98 =
  39. 39.374731 ÷ 897 =
  40. 40.62391 ÷ 96 =

Answer key

  1. 655 rem 299
  2. 346 rem 11
  3. 272 rem 56
  4. 410 rem 83
  5. 729 rem 87
  6. 483 rem 49
  7. 244 rem 19
  8. 52 rem 359
  9. 360 rem 3
  10. 741 rem 667
  11. 923 rem 82
  12. 244 rem 70
  13. 145 rem 438
  14. 366 rem 879
  15. 696 rem 142
  16. 268 rem 76
  17. 11 rem 561
  18. 1204 rem 5
  19. 888 rem 28
  20. 610 rem 779
  21. 336 rem 12
  22. 534 rem 64
  23. 715 rem 53
  24. 312 rem 718
  25. 503 rem 77
  26. 733 rem 50
  27. 910 rem 29
  28. 203 rem 7
  29. 340 rem 365
  30. 492 rem 81
  31. 608 rem 400
  32. 210 rem 39
  33. 221 rem 4
  34. 617 rem 278
  35. 857 rem 86
  36. 926 rem 93
  37. 105 rem 94
  38. 479 rem 26
  39. 417 rem 682
  40. 649 rem 87

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