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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 872 · 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. 1.207467 ÷ 997 =
  2. 2.31653 ÷ 988 =
  3. 3.2392 ÷ 8 =
  4. 4.96144 ÷ 97 =
  5. 5.16339 ÷ 97 =
  6. 6.69008 ÷ 88 =
  7. 7.106824 ÷ 997 =
  8. 8.612788 ÷ 998 =
  9. 9.13769 ÷ 98 =
  10. 10.76315 ÷ 96 =
  11. 11.629779 ÷ 989 =
  12. 12.291657 ÷ 988 =
  13. 13.365212 ÷ 997 =
  14. 14.485952 ÷ 998 =
  15. 15.424144 ÷ 988 =
  16. 16.59452 ÷ 989 =
  17. 17.21640 ÷ 89 =
  18. 18.83307 ÷ 98 =
  19. 19.380241 ÷ 997 =
  20. 20.98692 ÷ 88 =
  21. 21.1187 ÷ 88 =
  22. 22.106868 ÷ 997 =
  23. 23.782 ÷ 8 =
  24. 24.79702 ÷ 96 =
  25. 25.972559 ÷ 989 =
  26. 26.369573 ÷ 997 =
  27. 27.83395 ÷ 97 =
  28. 28.4608 ÷ 8 =
  29. 29.594866 ÷ 998 =
  30. 30.37184 ÷ 96 =
  31. 31.605945 ÷ 997 =
  32. 32.22472 ÷ 88 =
  33. 33.2554 ÷ 8 =
  34. 34.952491 ÷ 897 =
  35. 35.5316 ÷ 88 =
  36. 36.865735 ÷ 897 =
  37. 37.172042 ÷ 998 =
  38. 38.146600 ÷ 897 =
  39. 39.13924 ÷ 97 =
  40. 40.81519 ÷ 89 =

Answer key

  1. 208 rem 91
  2. 32 rem 37
  3. 299 rem 0
  4. 991 rem 17
  5. 168 rem 43
  6. 784 rem 16
  7. 107 rem 145
  8. 614 rem 16
  9. 140 rem 49
  10. 794 rem 91
  11. 636 rem 775
  12. 295 rem 197
  13. 366 rem 310
  14. 486 rem 924
  15. 429 rem 292
  16. 60 rem 112
  17. 243 rem 13
  18. 850 rem 7
  19. 381 rem 384
  20. 1121 rem 44
  21. 13 rem 43
  22. 107 rem 189
  23. 97 rem 6
  24. 830 rem 22
  25. 983 rem 372
  26. 370 rem 683
  27. 859 rem 72
  28. 576 rem 0
  29. 596 rem 58
  30. 387 rem 32
  31. 607 rem 766
  32. 255 rem 32
  33. 319 rem 2
  34. 1061 rem 774
  35. 60 rem 36
  36. 965 rem 130
  37. 172 rem 386
  38. 163 rem 389
  39. 143 rem 53
  40. 915 rem 84

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