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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 90 · 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. 1.565319 ÷ 989 =
  2. 2.719020 ÷ 988 =
  3. 3.404468 ÷ 989 =
  4. 4.78365 ÷ 97 =
  5. 5.677 ÷ 8 =
  6. 6.11488 ÷ 89 =
  7. 7.2574 ÷ 8 =
  8. 8.27575 ÷ 97 =
  9. 9.42707 ÷ 96 =
  10. 10.814370 ÷ 998 =
  11. 11.284206 ÷ 998 =
  12. 12.43891 ÷ 98 =
  13. 13.866657 ÷ 998 =
  14. 14.15672 ÷ 97 =
  15. 15.552804 ÷ 997 =
  16. 16.42241 ÷ 97 =
  17. 17.596235 ÷ 989 =
  18. 18.69598 ÷ 97 =
  19. 19.368025 ÷ 997 =
  20. 20.41637 ÷ 997 =
  21. 21.23416 ÷ 96 =
  22. 22.757406 ÷ 897 =
  23. 23.497864 ÷ 989 =
  24. 24.120808 ÷ 989 =
  25. 25.921641 ÷ 897 =
  26. 26.5358 ÷ 8 =
  27. 27.418093 ÷ 988 =
  28. 28.240308 ÷ 997 =
  29. 29.412903 ÷ 897 =
  30. 30.9249 ÷ 8 =
  31. 31.58286 ÷ 98 =
  32. 32.657151 ÷ 988 =
  33. 33.680903 ÷ 997 =
  34. 34.4691 ÷ 89 =
  35. 35.294179 ÷ 989 =
  36. 36.198074 ÷ 989 =
  37. 37.845647 ÷ 998 =
  38. 38.43630 ÷ 89 =
  39. 39.88983 ÷ 98 =
  40. 40.11506 ÷ 98 =

Answer key

  1. 571 rem 600
  2. 727 rem 744
  3. 408 rem 956
  4. 807 rem 86
  5. 84 rem 5
  6. 129 rem 7
  7. 321 rem 6
  8. 284 rem 27
  9. 444 rem 83
  10. 816 rem 2
  11. 284 rem 774
  12. 447 rem 85
  13. 868 rem 393
  14. 161 rem 55
  15. 554 rem 466
  16. 435 rem 46
  17. 602 rem 857
  18. 717 rem 49
  19. 369 rem 132
  20. 41 rem 760
  21. 243 rem 88
  22. 844 rem 338
  23. 503 rem 397
  24. 122 rem 150
  25. 1027 rem 422
  26. 669 rem 6
  27. 423 rem 169
  28. 241 rem 31
  29. 460 rem 283
  30. 1156 rem 1
  31. 594 rem 74
  32. 665 rem 131
  33. 682 rem 949
  34. 52 rem 63
  35. 297 rem 446
  36. 200 rem 274
  37. 847 rem 341
  38. 490 rem 20
  39. 907 rem 97
  40. 117 rem 40

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