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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 993 · 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. 1.216150 ÷ 897 =
  2. 2.152540 ÷ 997 =
  3. 3.9336 ÷ 8 =
  4. 4.82394 ÷ 88 =
  5. 5.420641 ÷ 997 =
  6. 6.399 ÷ 8 =
  7. 7.981313 ÷ 988 =
  8. 8.401277 ÷ 989 =
  9. 9.299416 ÷ 997 =
  10. 10.845820 ÷ 998 =
  11. 11.770211 ÷ 988 =
  12. 12.50750 ÷ 88 =
  13. 13.409430 ÷ 989 =
  14. 14.5209 ÷ 8 =
  15. 15.532953 ÷ 998 =
  16. 16.24345 ÷ 97 =
  17. 17.387083 ÷ 997 =
  18. 18.204002 ÷ 998 =
  19. 19.424674 ÷ 897 =
  20. 20.4657 ÷ 89 =
  21. 21.529431 ÷ 988 =
  22. 22.195113 ÷ 897 =
  23. 23.444 ÷ 8 =
  24. 24.82200 ÷ 96 =
  25. 25.78809 ÷ 998 =
  26. 26.38847 ÷ 97 =
  27. 27.916328 ÷ 997 =
  28. 28.34114 ÷ 998 =
  29. 29.76443 ÷ 98 =
  30. 30.161955 ÷ 989 =
  31. 31.42718 ÷ 997 =
  32. 32.417083 ÷ 997 =
  33. 33.738135 ÷ 998 =
  34. 34.532351 ÷ 897 =
  35. 35.232963 ÷ 897 =
  36. 36.403254 ÷ 997 =
  37. 37.426051 ÷ 988 =
  38. 38.5902 ÷ 88 =
  39. 39.64064 ÷ 96 =
  40. 40.904157 ÷ 897 =

Answer key

  1. 240 rem 870
  2. 152 rem 996
  3. 1167 rem 0
  4. 936 rem 26
  5. 421 rem 904
  6. 49 rem 7
  7. 993 rem 229
  8. 405 rem 732
  9. 300 rem 316
  10. 847 rem 514
  11. 779 rem 559
  12. 576 rem 62
  13. 413 rem 973
  14. 651 rem 1
  15. 534 rem 21
  16. 250 rem 95
  17. 388 rem 247
  18. 204 rem 410
  19. 473 rem 393
  20. 52 rem 29
  21. 535 rem 851
  22. 217 rem 464
  23. 55 rem 4
  24. 856 rem 24
  25. 78 rem 965
  26. 400 rem 47
  27. 919 rem 85
  28. 34 rem 182
  29. 780 rem 3
  30. 163 rem 748
  31. 42 rem 844
  32. 418 rem 337
  33. 739 rem 613
  34. 593 rem 430
  35. 259 rem 640
  36. 404 rem 466
  37. 431 rem 223
  38. 67 rem 6
  39. 667 rem 32
  40. 1007 rem 878

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