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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 566 · 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. 1.85952 ÷ 89 =
  2. 2.479600 ÷ 989 =
  3. 3.37414 ÷ 96 =
  4. 4.60558 ÷ 97 =
  5. 5.960354 ÷ 989 =
  6. 6.129311 ÷ 998 =
  7. 7.122206 ÷ 988 =
  8. 8.58812 ÷ 98 =
  9. 9.25994 ÷ 89 =
  10. 10.67131 ÷ 97 =
  11. 11.4705 ÷ 8 =
  12. 12.28827 ÷ 897 =
  13. 13.7043 ÷ 8 =
  14. 14.413063 ÷ 989 =
  15. 15.18408 ÷ 96 =
  16. 16.79350 ÷ 97 =
  17. 17.281365 ÷ 897 =
  18. 18.878051 ÷ 988 =
  19. 19.528718 ÷ 998 =
  20. 20.748245 ÷ 988 =
  21. 21.315682 ÷ 897 =
  22. 22.32987 ÷ 989 =
  23. 23.39324 ÷ 998 =
  24. 24.5498 ÷ 88 =
  25. 25.86539 ÷ 88 =
  26. 26.51989 ÷ 89 =
  27. 27.15370 ÷ 89 =
  28. 28.85554 ÷ 97 =
  29. 29.1539 ÷ 97 =
  30. 30.94378 ÷ 89 =
  31. 31.39917 ÷ 96 =
  32. 32.691872 ÷ 988 =
  33. 33.215781 ÷ 897 =
  34. 34.64683 ÷ 89 =
  35. 35.79723 ÷ 98 =
  36. 36.22342 ÷ 98 =
  37. 37.18089 ÷ 98 =
  38. 38.22091 ÷ 98 =
  39. 39.63005 ÷ 98 =
  40. 40.98292 ÷ 89 =

Answer key

  1. 965 rem 67
  2. 484 rem 924
  3. 389 rem 70
  4. 624 rem 30
  5. 971 rem 35
  6. 129 rem 569
  7. 123 rem 682
  8. 600 rem 12
  9. 292 rem 6
  10. 692 rem 7
  11. 588 rem 1
  12. 32 rem 123
  13. 880 rem 3
  14. 417 rem 650
  15. 191 rem 72
  16. 818 rem 4
  17. 313 rem 604
  18. 888 rem 707
  19. 529 rem 776
  20. 757 rem 329
  21. 351 rem 835
  22. 33 rem 350
  23. 39 rem 402
  24. 62 rem 42
  25. 983 rem 35
  26. 584 rem 13
  27. 172 rem 62
  28. 882 rem 0
  29. 15 rem 84
  30. 1060 rem 38
  31. 415 rem 77
  32. 700 rem 272
  33. 240 rem 501
  34. 726 rem 69
  35. 813 rem 49
  36. 227 rem 96
  37. 184 rem 57
  38. 225 rem 41
  39. 642 rem 89
  40. 1104 rem 36

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