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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 912 · 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. 1.965506 ÷ 997 =
  2. 2.870960 ÷ 998 =
  3. 3.322859 ÷ 988 =
  4. 4.22306 ÷ 88 =
  5. 5.9191 ÷ 8 =
  6. 6.29112 ÷ 98 =
  7. 7.7451 ÷ 8 =
  8. 8.74086 ÷ 96 =
  9. 9.15477 ÷ 88 =
  10. 10.822816 ÷ 988 =
  11. 11.86644 ÷ 88 =
  12. 12.55108 ÷ 97 =
  13. 13.28324 ÷ 97 =
  14. 14.76064 ÷ 88 =
  15. 15.15434 ÷ 96 =
  16. 16.74146 ÷ 89 =
  17. 17.254814 ÷ 988 =
  18. 18.354100 ÷ 897 =
  19. 19.248596 ÷ 997 =
  20. 20.59527 ÷ 98 =
  21. 21.24505 ÷ 98 =
  22. 22.20917 ÷ 97 =
  23. 23.4015 ÷ 97 =
  24. 24.16727 ÷ 89 =
  25. 25.362679 ÷ 897 =
  26. 26.71597 ÷ 89 =
  27. 27.46820 ÷ 89 =
  28. 28.7851 ÷ 88 =
  29. 29.9573 ÷ 8 =
  30. 30.548849 ÷ 897 =
  31. 31.5559 ÷ 8 =
  32. 32.583022 ÷ 989 =
  33. 33.360401 ÷ 897 =
  34. 34.99227 ÷ 89 =
  35. 35.775782 ÷ 998 =
  36. 36.887990 ÷ 997 =
  37. 37.80719 ÷ 88 =
  38. 38.647549 ÷ 988 =
  39. 39.89952 ÷ 88 =
  40. 40.351057 ÷ 998 =

Answer key

  1. 968 rem 410
  2. 872 rem 704
  3. 326 rem 771
  4. 253 rem 42
  5. 1148 rem 7
  6. 297 rem 6
  7. 931 rem 3
  8. 771 rem 70
  9. 175 rem 77
  10. 832 rem 800
  11. 984 rem 52
  12. 568 rem 12
  13. 292 rem 0
  14. 864 rem 32
  15. 160 rem 74
  16. 833 rem 9
  17. 257 rem 898
  18. 394 rem 682
  19. 249 rem 343
  20. 607 rem 41
  21. 250 rem 5
  22. 215 rem 62
  23. 41 rem 38
  24. 187 rem 84
  25. 404 rem 291
  26. 804 rem 41
  27. 526 rem 6
  28. 89 rem 19
  29. 1196 rem 5
  30. 611 rem 782
  31. 694 rem 7
  32. 589 rem 501
  33. 401 rem 704
  34. 1114 rem 81
  35. 777 rem 336
  36. 890 rem 660
  37. 917 rem 23
  38. 655 rem 409
  39. 1022 rem 16
  40. 351 rem 759

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