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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 945 · 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. 1.238012 ÷ 988 =
  2. 2.34472 ÷ 97 =
  3. 3.483755 ÷ 989 =
  4. 4.8142 ÷ 8 =
  5. 5.51687 ÷ 97 =
  6. 6.52234 ÷ 97 =
  7. 7.99824 ÷ 97 =
  8. 8.38048 ÷ 98 =
  9. 9.223701 ÷ 988 =
  10. 10.687533 ÷ 988 =
  11. 11.247851 ÷ 989 =
  12. 12.35830 ÷ 96 =
  13. 13.57456 ÷ 89 =
  14. 14.4875 ÷ 97 =
  15. 15.1054 ÷ 8 =
  16. 16.9817 ÷ 98 =
  17. 17.36810 ÷ 89 =
  18. 18.4621 ÷ 8 =
  19. 19.559782 ÷ 897 =
  20. 20.569557 ÷ 897 =
  21. 21.16329 ÷ 98 =
  22. 22.214226 ÷ 998 =
  23. 23.10407 ÷ 98 =
  24. 24.6389 ÷ 8 =
  25. 25.24060 ÷ 89 =
  26. 26.25113 ÷ 89 =
  27. 27.55006 ÷ 97 =
  28. 28.14002 ÷ 88 =
  29. 29.880890 ÷ 997 =
  30. 30.680320 ÷ 998 =
  31. 31.54316 ÷ 97 =
  32. 32.50980 ÷ 998 =
  33. 33.40351 ÷ 88 =
  34. 34.251368 ÷ 998 =
  35. 35.504838 ÷ 997 =
  36. 36.30070 ÷ 89 =
  37. 37.313926 ÷ 997 =
  38. 38.515870 ÷ 988 =
  39. 39.8502 ÷ 8 =
  40. 40.874986 ÷ 988 =

Answer key

  1. 240 rem 892
  2. 355 rem 37
  3. 489 rem 134
  4. 1017 rem 6
  5. 532 rem 83
  6. 538 rem 48
  7. 1029 rem 11
  8. 388 rem 24
  9. 226 rem 413
  10. 695 rem 873
  11. 250 rem 601
  12. 373 rem 22
  13. 645 rem 51
  14. 50 rem 25
  15. 131 rem 6
  16. 100 rem 17
  17. 413 rem 53
  18. 577 rem 5
  19. 624 rem 54
  20. 634 rem 859
  21. 166 rem 61
  22. 214 rem 654
  23. 106 rem 19
  24. 798 rem 5
  25. 270 rem 30
  26. 282 rem 15
  27. 567 rem 7
  28. 159 rem 10
  29. 883 rem 539
  30. 681 rem 682
  31. 559 rem 93
  32. 51 rem 82
  33. 458 rem 47
  34. 251 rem 870
  35. 506 rem 356
  36. 337 rem 77
  37. 314 rem 868
  38. 522 rem 134
  39. 1062 rem 6
  40. 885 rem 606

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