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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 601 · 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. 1.5459 ÷ 97 =
  2. 2.755918 ÷ 997 =
  3. 3.18243 ÷ 89 =
  4. 4.866264 ÷ 988 =
  5. 5.578794 ÷ 998 =
  6. 6.23071 ÷ 98 =
  7. 7.28552 ÷ 89 =
  8. 8.235362 ÷ 988 =
  9. 9.83863 ÷ 997 =
  10. 10.7413 ÷ 8 =
  11. 11.98040 ÷ 988 =
  12. 12.12528 ÷ 89 =
  13. 13.21277 ÷ 997 =
  14. 14.42305 ÷ 97 =
  15. 15.92306 ÷ 96 =
  16. 16.70252 ÷ 998 =
  17. 17.17609 ÷ 96 =
  18. 18.32418 ÷ 97 =
  19. 19.7558 ÷ 8 =
  20. 20.28019 ÷ 97 =
  21. 21.13675 ÷ 88 =
  22. 22.2805 ÷ 8 =
  23. 23.4828 ÷ 8 =
  24. 24.44958 ÷ 88 =
  25. 25.33790 ÷ 89 =
  26. 26.27695 ÷ 96 =
  27. 27.991257 ÷ 989 =
  28. 28.6274 ÷ 8 =
  29. 29.242321 ÷ 988 =
  30. 30.6772 ÷ 8 =
  31. 31.73659 ÷ 97 =
  32. 32.34225 ÷ 98 =
  33. 33.13423 ÷ 88 =
  34. 34.99501 ÷ 89 =
  35. 35.741742 ÷ 989 =
  36. 36.6974 ÷ 8 =
  37. 37.905718 ÷ 989 =
  38. 38.271335 ÷ 897 =
  39. 39.91595 ÷ 89 =
  40. 40.795882 ÷ 988 =

Answer key

  1. 56 rem 27
  2. 758 rem 192
  3. 204 rem 87
  4. 876 rem 776
  5. 579 rem 952
  6. 235 rem 41
  7. 320 rem 72
  8. 238 rem 218
  9. 84 rem 115
  10. 926 rem 5
  11. 99 rem 228
  12. 140 rem 68
  13. 21 rem 340
  14. 436 rem 13
  15. 961 rem 50
  16. 70 rem 392
  17. 183 rem 41
  18. 334 rem 20
  19. 944 rem 6
  20. 288 rem 83
  21. 155 rem 35
  22. 350 rem 5
  23. 603 rem 4
  24. 510 rem 78
  25. 379 rem 59
  26. 288 rem 47
  27. 1002 rem 279
  28. 784 rem 2
  29. 245 rem 261
  30. 846 rem 4
  31. 759 rem 36
  32. 349 rem 23
  33. 152 rem 47
  34. 1117 rem 88
  35. 749 rem 981
  36. 871 rem 6
  37. 915 rem 783
  38. 302 rem 441
  39. 1029 rem 14
  40. 805 rem 542

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