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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 362 · 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. 1.212863 ÷ 989 =
  2. 2.659494 ÷ 897 =
  3. 3.6081 ÷ 8 =
  4. 4.85620 ÷ 88 =
  5. 5.49564 ÷ 88 =
  6. 6.228699 ÷ 997 =
  7. 7.692726 ÷ 997 =
  8. 8.883537 ÷ 897 =
  9. 9.272820 ÷ 997 =
  10. 10.14245 ÷ 89 =
  11. 11.871145 ÷ 988 =
  12. 12.538418 ÷ 998 =
  13. 13.74300 ÷ 97 =
  14. 14.582686 ÷ 997 =
  15. 15.46306 ÷ 897 =
  16. 16.738893 ÷ 988 =
  17. 17.56206 ÷ 98 =
  18. 18.88703 ÷ 89 =
  19. 19.88555 ÷ 96 =
  20. 20.3135 ÷ 8 =
  21. 21.94143 ÷ 97 =
  22. 22.52443 ÷ 97 =
  23. 23.610960 ÷ 989 =
  24. 24.41459 ÷ 97 =
  25. 25.17517 ÷ 98 =
  26. 26.26808 ÷ 88 =
  27. 27.28153 ÷ 96 =
  28. 28.134712 ÷ 997 =
  29. 29.96933 ÷ 98 =
  30. 30.64305 ÷ 997 =
  31. 31.117857 ÷ 998 =
  32. 32.730932 ÷ 997 =
  33. 33.122023 ÷ 997 =
  34. 34.727606 ÷ 998 =
  35. 35.43958 ÷ 997 =
  36. 36.63709 ÷ 96 =
  37. 37.7772 ÷ 8 =
  38. 38.906048 ÷ 998 =
  39. 39.80812 ÷ 96 =
  40. 40.13985 ÷ 97 =

Answer key

  1. 215 rem 228
  2. 735 rem 199
  3. 760 rem 1
  4. 972 rem 84
  5. 563 rem 20
  6. 229 rem 386
  7. 694 rem 808
  8. 984 rem 889
  9. 273 rem 639
  10. 160 rem 5
  11. 881 rem 717
  12. 539 rem 496
  13. 765 rem 95
  14. 584 rem 438
  15. 51 rem 559
  16. 747 rem 857
  17. 573 rem 52
  18. 996 rem 59
  19. 922 rem 43
  20. 391 rem 7
  21. 970 rem 53
  22. 540 rem 63
  23. 617 rem 747
  24. 427 rem 40
  25. 178 rem 73
  26. 304 rem 56
  27. 293 rem 25
  28. 135 rem 117
  29. 989 rem 11
  30. 64 rem 497
  31. 118 rem 93
  32. 733 rem 131
  33. 122 rem 389
  34. 729 rem 64
  35. 44 rem 90
  36. 663 rem 61
  37. 971 rem 4
  38. 907 rem 862
  39. 841 rem 76
  40. 144 rem 17

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