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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 376 · 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. 1.41621 ÷ 89 =
  2. 2.75500 ÷ 96 =
  3. 3.2945 ÷ 88 =
  4. 4.39561 ÷ 88 =
  5. 5.6313 ÷ 8 =
  6. 6.407790 ÷ 989 =
  7. 7.86081 ÷ 98 =
  8. 8.25267 ÷ 97 =
  9. 9.503412 ÷ 998 =
  10. 10.92877 ÷ 88 =
  11. 11.455355 ÷ 897 =
  12. 12.437699 ÷ 897 =
  13. 13.525256 ÷ 998 =
  14. 14.74007 ÷ 98 =
  15. 15.8566 ÷ 8 =
  16. 16.6585 ÷ 8 =
  17. 17.69414 ÷ 97 =
  18. 18.864460 ÷ 897 =
  19. 19.328118 ÷ 997 =
  20. 20.4999 ÷ 96 =
  21. 21.12878 ÷ 97 =
  22. 22.46467 ÷ 96 =
  23. 23.90185 ÷ 96 =
  24. 24.494409 ÷ 897 =
  25. 25.69156 ÷ 98 =
  26. 26.32247 ÷ 97 =
  27. 27.463846 ÷ 997 =
  28. 28.17823 ÷ 897 =
  29. 29.5171 ÷ 8 =
  30. 30.93404 ÷ 97 =
  31. 31.18925 ÷ 89 =
  32. 32.369465 ÷ 988 =
  33. 33.7186 ÷ 8 =
  34. 34.91141 ÷ 88 =
  35. 35.5490 ÷ 8 =
  36. 36.2959 ÷ 8 =
  37. 37.198793 ÷ 989 =
  38. 38.604 ÷ 8 =
  39. 39.450 ÷ 8 =
  40. 40.5634 ÷ 88 =

Answer key

  1. 467 rem 58
  2. 786 rem 44
  3. 33 rem 41
  4. 449 rem 49
  5. 789 rem 1
  6. 412 rem 322
  7. 878 rem 37
  8. 260 rem 47
  9. 504 rem 420
  10. 1055 rem 37
  11. 507 rem 576
  12. 487 rem 860
  13. 526 rem 308
  14. 755 rem 17
  15. 1070 rem 6
  16. 823 rem 1
  17. 715 rem 59
  18. 963 rem 649
  19. 329 rem 105
  20. 52 rem 7
  21. 132 rem 74
  22. 484 rem 3
  23. 939 rem 41
  24. 551 rem 162
  25. 705 rem 66
  26. 332 rem 43
  27. 465 rem 241
  28. 19 rem 780
  29. 646 rem 3
  30. 962 rem 90
  31. 212 rem 57
  32. 373 rem 941
  33. 898 rem 2
  34. 1035 rem 61
  35. 686 rem 2
  36. 369 rem 7
  37. 201 rem 4
  38. 75 rem 4
  39. 56 rem 2
  40. 64 rem 2

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