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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 487 · 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. 1.94695 ÷ 96 =
  2. 2.217136 ÷ 989 =
  3. 3.305145 ÷ 988 =
  4. 4.24748 ÷ 97 =
  5. 5.731396 ÷ 897 =
  6. 6.80832 ÷ 97 =
  7. 7.405 ÷ 8 =
  8. 8.32177 ÷ 98 =
  9. 9.69830 ÷ 89 =
  10. 10.723293 ÷ 988 =
  11. 11.99386 ÷ 98 =
  12. 12.40231 ÷ 98 =
  13. 13.478338 ÷ 997 =
  14. 14.74714 ÷ 98 =
  15. 15.97607 ÷ 96 =
  16. 16.99456 ÷ 97 =
  17. 17.154088 ÷ 897 =
  18. 18.85586 ÷ 98 =
  19. 19.9753 ÷ 96 =
  20. 20.48581 ÷ 89 =
  21. 21.77535 ÷ 98 =
  22. 22.80009 ÷ 989 =
  23. 23.287646 ÷ 989 =
  24. 24.38478 ÷ 97 =
  25. 25.991440 ÷ 897 =
  26. 26.17017 ÷ 897 =
  27. 27.976967 ÷ 997 =
  28. 28.95068 ÷ 89 =
  29. 29.90315 ÷ 98 =
  30. 30.55744 ÷ 96 =
  31. 31.17560 ÷ 96 =
  32. 32.19167 ÷ 96 =
  33. 33.57585 ÷ 96 =
  34. 34.836667 ÷ 998 =
  35. 35.25468 ÷ 89 =
  36. 36.866141 ÷ 997 =
  37. 37.55455 ÷ 97 =
  38. 38.44449 ÷ 98 =
  39. 39.662917 ÷ 997 =
  40. 40.378878 ÷ 997 =

Answer key

  1. 986 rem 39
  2. 219 rem 545
  3. 308 rem 841
  4. 255 rem 13
  5. 815 rem 341
  6. 833 rem 31
  7. 50 rem 5
  8. 328 rem 33
  9. 784 rem 54
  10. 732 rem 77
  11. 1014 rem 14
  12. 410 rem 51
  13. 479 rem 775
  14. 762 rem 38
  15. 1016 rem 71
  16. 1025 rem 31
  17. 171 rem 701
  18. 873 rem 32
  19. 101 rem 57
  20. 545 rem 76
  21. 791 rem 17
  22. 80 rem 889
  23. 290 rem 836
  24. 396 rem 66
  25. 1105 rem 255
  26. 18 rem 871
  27. 979 rem 904
  28. 1068 rem 16
  29. 921 rem 57
  30. 580 rem 64
  31. 182 rem 88
  32. 199 rem 63
  33. 599 rem 81
  34. 838 rem 343
  35. 286 rem 14
  36. 868 rem 745
  37. 571 rem 68
  38. 453 rem 55
  39. 664 rem 909
  40. 380 rem 18

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