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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 47 · 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. 1.305309 ÷ 989 =
  2. 2.787843 ÷ 998 =
  3. 3.58598 ÷ 89 =
  4. 4.925517 ÷ 997 =
  5. 5.2487 ÷ 88 =
  6. 6.323801 ÷ 988 =
  7. 7.2301 ÷ 8 =
  8. 8.3484 ÷ 97 =
  9. 9.3627 ÷ 8 =
  10. 10.105099 ÷ 897 =
  11. 11.59116 ÷ 97 =
  12. 12.64212 ÷ 89 =
  13. 13.2561 ÷ 8 =
  14. 14.5363 ÷ 8 =
  15. 15.238754 ÷ 989 =
  16. 16.76152 ÷ 96 =
  17. 17.69612 ÷ 98 =
  18. 18.99295 ÷ 89 =
  19. 19.943267 ÷ 988 =
  20. 20.9927 ÷ 97 =
  21. 21.108790 ÷ 989 =
  22. 22.314958 ÷ 998 =
  23. 23.3793 ÷ 88 =
  24. 24.552173 ÷ 997 =
  25. 25.62356 ÷ 89 =
  26. 26.30160 ÷ 89 =
  27. 27.1288 ÷ 8 =
  28. 28.138212 ÷ 988 =
  29. 29.45411 ÷ 89 =
  30. 30.99698 ÷ 97 =
  31. 31.184794 ÷ 989 =
  32. 32.61169 ÷ 89 =
  33. 33.551214 ÷ 988 =
  34. 34.1528 ÷ 98 =
  35. 35.885498 ÷ 998 =
  36. 36.9928 ÷ 8 =
  37. 37.887003 ÷ 998 =
  38. 38.9982 ÷ 88 =
  39. 39.37442 ÷ 89 =
  40. 40.966164 ÷ 997 =

Answer key

  1. 308 rem 697
  2. 789 rem 421
  3. 658 rem 36
  4. 928 rem 301
  5. 28 rem 23
  6. 327 rem 725
  7. 287 rem 5
  8. 35 rem 89
  9. 453 rem 3
  10. 117 rem 150
  11. 609 rem 43
  12. 721 rem 43
  13. 320 rem 1
  14. 670 rem 3
  15. 241 rem 405
  16. 793 rem 24
  17. 710 rem 32
  18. 1115 rem 60
  19. 954 rem 715
  20. 102 rem 33
  21. 110 rem 0
  22. 315 rem 588
  23. 43 rem 9
  24. 553 rem 832
  25. 700 rem 56
  26. 338 rem 78
  27. 161 rem 0
  28. 139 rem 880
  29. 510 rem 21
  30. 1027 rem 79
  31. 186 rem 840
  32. 687 rem 26
  33. 557 rem 898
  34. 15 rem 58
  35. 887 rem 272
  36. 1241 rem 0
  37. 888 rem 779
  38. 113 rem 38
  39. 420 rem 62
  40. 969 rem 71

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