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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 82 · 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. 1.52593 ÷ 997 =
  2. 2.7499 ÷ 8 =
  3. 3.945 ÷ 8 =
  4. 4.69081 ÷ 88 =
  5. 5.58246 ÷ 98 =
  6. 6.8284 ÷ 89 =
  7. 7.366717 ÷ 997 =
  8. 8.7670 ÷ 8 =
  9. 9.48102 ÷ 98 =
  10. 10.69641 ÷ 97 =
  11. 11.6079 ÷ 97 =
  12. 12.7967 ÷ 8 =
  13. 13.1102 ÷ 8 =
  14. 14.500903 ÷ 989 =
  15. 15.40697 ÷ 89 =
  16. 16.79344 ÷ 96 =
  17. 17.12379 ÷ 98 =
  18. 18.525453 ÷ 997 =
  19. 19.41417 ÷ 96 =
  20. 20.872589 ÷ 997 =
  21. 21.14135 ÷ 88 =
  22. 22.34030 ÷ 96 =
  23. 23.70967 ÷ 96 =
  24. 24.55274 ÷ 98 =
  25. 25.26364 ÷ 88 =
  26. 26.676826 ÷ 897 =
  27. 27.59085 ÷ 96 =
  28. 28.153141 ÷ 988 =
  29. 29.3995 ÷ 8 =
  30. 30.848220 ÷ 988 =
  31. 31.683829 ÷ 989 =
  32. 32.1421 ÷ 8 =
  33. 33.78676 ÷ 89 =
  34. 34.572391 ÷ 988 =
  35. 35.2938 ÷ 96 =
  36. 36.827351 ÷ 989 =
  37. 37.884952 ÷ 998 =
  38. 38.99470 ÷ 98 =
  39. 39.488557 ÷ 997 =
  40. 40.55161 ÷ 89 =

Answer key

  1. 52 rem 749
  2. 937 rem 3
  3. 118 rem 1
  4. 785 rem 1
  5. 594 rem 34
  6. 93 rem 7
  7. 367 rem 818
  8. 958 rem 6
  9. 490 rem 82
  10. 717 rem 92
  11. 62 rem 65
  12. 995 rem 7
  13. 137 rem 6
  14. 506 rem 469
  15. 457 rem 24
  16. 826 rem 48
  17. 126 rem 31
  18. 527 rem 34
  19. 431 rem 41
  20. 875 rem 214
  21. 160 rem 55
  22. 354 rem 46
  23. 739 rem 23
  24. 564 rem 2
  25. 299 rem 52
  26. 754 rem 488
  27. 615 rem 45
  28. 155 rem 1
  29. 499 rem 3
  30. 858 rem 516
  31. 691 rem 430
  32. 177 rem 5
  33. 884 rem 0
  34. 579 rem 339
  35. 30 rem 58
  36. 836 rem 547
  37. 886 rem 724
  38. 1015 rem 0
  39. 490 rem 27
  40. 619 rem 70

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