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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 349 · 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. 1.8552 ÷ 8 =
  2. 2.60515 ÷ 97 =
  3. 3.1927 ÷ 8 =
  4. 4.741233 ÷ 989 =
  5. 5.580625 ÷ 989 =
  6. 6.465984 ÷ 998 =
  7. 7.55354 ÷ 997 =
  8. 8.96665 ÷ 89 =
  9. 9.35699 ÷ 97 =
  10. 10.875186 ÷ 997 =
  11. 11.18929 ÷ 98 =
  12. 12.10558 ÷ 997 =
  13. 13.944417 ÷ 989 =
  14. 14.52970 ÷ 96 =
  15. 15.920145 ÷ 989 =
  16. 16.672679 ÷ 998 =
  17. 17.9864 ÷ 96 =
  18. 18.536696 ÷ 988 =
  19. 19.689692 ÷ 897 =
  20. 20.363906 ÷ 997 =
  21. 21.351212 ÷ 997 =
  22. 22.87591 ÷ 89 =
  23. 23.97733 ÷ 98 =
  24. 24.40547 ÷ 96 =
  25. 25.35938 ÷ 89 =
  26. 26.99868 ÷ 89 =
  27. 27.9382 ÷ 8 =
  28. 28.28630 ÷ 989 =
  29. 29.1459 ÷ 8 =
  30. 30.487519 ÷ 998 =
  31. 31.584114 ÷ 998 =
  32. 32.572022 ÷ 897 =
  33. 33.48441 ÷ 97 =
  34. 34.69408 ÷ 89 =
  35. 35.2965 ÷ 8 =
  36. 36.53282 ÷ 98 =
  37. 37.80106 ÷ 97 =
  38. 38.104 ÷ 8 =
  39. 39.9284 ÷ 88 =
  40. 40.42630 ÷ 89 =

Answer key

  1. 1069 rem 0
  2. 623 rem 84
  3. 240 rem 7
  4. 749 rem 472
  5. 587 rem 82
  6. 466 rem 916
  7. 55 rem 519
  8. 1086 rem 11
  9. 368 rem 3
  10. 877 rem 817
  11. 193 rem 15
  12. 10 rem 588
  13. 954 rem 911
  14. 551 rem 74
  15. 930 rem 375
  16. 674 rem 27
  17. 102 rem 72
  18. 543 rem 212
  19. 768 rem 796
  20. 365 rem 1
  21. 352 rem 268
  22. 984 rem 15
  23. 997 rem 27
  24. 422 rem 35
  25. 403 rem 71
  26. 1122 rem 10
  27. 1172 rem 6
  28. 28 rem 938
  29. 182 rem 3
  30. 488 rem 495
  31. 585 rem 284
  32. 637 rem 633
  33. 499 rem 38
  34. 779 rem 77
  35. 370 rem 5
  36. 543 rem 68
  37. 825 rem 81
  38. 13 rem 0
  39. 105 rem 44
  40. 478 rem 88

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