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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 984 · 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. 1.963840 ÷ 989 =
  2. 2.262179 ÷ 997 =
  3. 3.55180 ÷ 98 =
  4. 4.79031 ÷ 96 =
  5. 5.283878 ÷ 997 =
  6. 6.94773 ÷ 97 =
  7. 7.20508 ÷ 98 =
  8. 8.112946 ÷ 897 =
  9. 9.5779 ÷ 96 =
  10. 10.264756 ÷ 997 =
  11. 11.474483 ÷ 988 =
  12. 12.298204 ÷ 989 =
  13. 13.44880 ÷ 897 =
  14. 14.891921 ÷ 997 =
  15. 15.9153 ÷ 8 =
  16. 16.73337 ÷ 96 =
  17. 17.581021 ÷ 997 =
  18. 18.863203 ÷ 997 =
  19. 19.465970 ÷ 897 =
  20. 20.71064 ÷ 88 =
  21. 21.332655 ÷ 988 =
  22. 22.843071 ÷ 897 =
  23. 23.284495 ÷ 897 =
  24. 24.80708 ÷ 97 =
  25. 25.12589 ÷ 89 =
  26. 26.3675 ÷ 8 =
  27. 27.795573 ÷ 997 =
  28. 28.3829 ÷ 89 =
  29. 29.730444 ÷ 989 =
  30. 30.8919 ÷ 8 =
  31. 31.461786 ÷ 988 =
  32. 32.168279 ÷ 897 =
  33. 33.93008 ÷ 98 =
  34. 34.3376 ÷ 98 =
  35. 35.587893 ÷ 989 =
  36. 36.571851 ÷ 997 =
  37. 37.57832 ÷ 88 =
  38. 38.924 ÷ 8 =
  39. 39.86439 ÷ 97 =
  40. 40.34429 ÷ 96 =

Answer key

  1. 974 rem 554
  2. 262 rem 965
  3. 563 rem 6
  4. 823 rem 23
  5. 284 rem 730
  6. 977 rem 4
  7. 209 rem 26
  8. 125 rem 821
  9. 60 rem 19
  10. 265 rem 551
  11. 480 rem 243
  12. 301 rem 515
  13. 50 rem 30
  14. 894 rem 603
  15. 1144 rem 1
  16. 763 rem 89
  17. 582 rem 767
  18. 865 rem 798
  19. 519 rem 427
  20. 807 rem 48
  21. 336 rem 687
  22. 939 rem 788
  23. 317 rem 146
  24. 832 rem 4
  25. 141 rem 40
  26. 459 rem 3
  27. 797 rem 964
  28. 43 rem 2
  29. 738 rem 562
  30. 1114 rem 7
  31. 467 rem 390
  32. 187 rem 540
  33. 949 rem 6
  34. 34 rem 44
  35. 594 rem 427
  36. 573 rem 570
  37. 657 rem 16
  38. 115 rem 4
  39. 891 rem 12
  40. 358 rem 61

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