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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 842 · 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. 1.147 ÷ 8 =
  2. 2.628972 ÷ 897 =
  3. 3.453124 ÷ 989 =
  4. 4.159612 ÷ 897 =
  5. 5.45160 ÷ 98 =
  6. 6.88360 ÷ 897 =
  7. 7.67129 ÷ 97 =
  8. 8.13837 ÷ 997 =
  9. 9.3805 ÷ 8 =
  10. 10.94789 ÷ 96 =
  11. 11.82752 ÷ 88 =
  12. 12.286 ÷ 8 =
  13. 13.96517 ÷ 96 =
  14. 14.43217 ÷ 88 =
  15. 15.5418 ÷ 8 =
  16. 16.367554 ÷ 897 =
  17. 17.391493 ÷ 998 =
  18. 18.3867 ÷ 97 =
  19. 19.28475 ÷ 98 =
  20. 20.879415 ÷ 997 =
  21. 21.525155 ÷ 989 =
  22. 22.80555 ÷ 96 =
  23. 23.98391 ÷ 89 =
  24. 24.8855 ÷ 88 =
  25. 25.11293 ÷ 96 =
  26. 26.22405 ÷ 97 =
  27. 27.49333 ÷ 88 =
  28. 28.62601 ÷ 98 =
  29. 29.682870 ÷ 988 =
  30. 30.11631 ÷ 98 =
  31. 31.8955 ÷ 96 =
  32. 32.629667 ÷ 989 =
  33. 33.834547 ÷ 998 =
  34. 34.520739 ÷ 998 =
  35. 35.9332 ÷ 96 =
  36. 36.62978 ÷ 98 =
  37. 37.42068 ÷ 98 =
  38. 38.223898 ÷ 998 =
  39. 39.76254 ÷ 96 =
  40. 40.70914 ÷ 89 =

Answer key

  1. 18 rem 3
  2. 701 rem 175
  3. 458 rem 162
  4. 177 rem 843
  5. 460 rem 80
  6. 98 rem 454
  7. 692 rem 5
  8. 13 rem 876
  9. 475 rem 5
  10. 987 rem 37
  11. 940 rem 32
  12. 35 rem 6
  13. 1005 rem 37
  14. 491 rem 9
  15. 677 rem 2
  16. 409 rem 681
  17. 392 rem 277
  18. 39 rem 84
  19. 290 rem 55
  20. 882 rem 61
  21. 530 rem 985
  22. 839 rem 11
  23. 1105 rem 46
  24. 100 rem 55
  25. 117 rem 61
  26. 230 rem 95
  27. 560 rem 53
  28. 638 rem 77
  29. 691 rem 162
  30. 118 rem 67
  31. 93 rem 27
  32. 636 rem 663
  33. 836 rem 219
  34. 521 rem 781
  35. 97 rem 20
  36. 642 rem 62
  37. 429 rem 26
  38. 224 rem 346
  39. 794 rem 30
  40. 796 rem 70

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