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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 985 · 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. 1.1718 ÷ 8 =
  2. 2.941573 ÷ 897 =
  3. 3.1467 ÷ 8 =
  4. 4.740893 ÷ 998 =
  5. 5.15175 ÷ 98 =
  6. 6.144738 ÷ 988 =
  7. 7.98137 ÷ 97 =
  8. 8.93444 ÷ 998 =
  9. 9.158570 ÷ 997 =
  10. 10.4279 ÷ 97 =
  11. 11.41996 ÷ 96 =
  12. 12.75294 ÷ 96 =
  13. 13.64906 ÷ 89 =
  14. 14.248090 ÷ 997 =
  15. 15.82280 ÷ 98 =
  16. 16.96351 ÷ 96 =
  17. 17.23474 ÷ 88 =
  18. 18.46383 ÷ 88 =
  19. 19.285056 ÷ 897 =
  20. 20.593791 ÷ 989 =
  21. 21.58279 ÷ 88 =
  22. 22.99866 ÷ 97 =
  23. 23.7556 ÷ 96 =
  24. 24.14910 ÷ 97 =
  25. 25.47535 ÷ 89 =
  26. 26.44091 ÷ 989 =
  27. 27.6622 ÷ 8 =
  28. 28.1205 ÷ 8 =
  29. 29.989550 ÷ 998 =
  30. 30.576173 ÷ 998 =
  31. 31.382925 ÷ 998 =
  32. 32.117349 ÷ 998 =
  33. 33.83531 ÷ 98 =
  34. 34.957816 ÷ 988 =
  35. 35.47914 ÷ 98 =
  36. 36.724717 ÷ 998 =
  37. 37.551996 ÷ 998 =
  38. 38.76618 ÷ 988 =
  39. 39.293515 ÷ 988 =
  40. 40.26313 ÷ 97 =

Answer key

  1. 214 rem 6
  2. 1049 rem 620
  3. 183 rem 3
  4. 742 rem 377
  5. 154 rem 83
  6. 146 rem 490
  7. 1011 rem 70
  8. 93 rem 630
  9. 159 rem 47
  10. 44 rem 11
  11. 437 rem 44
  12. 784 rem 30
  13. 729 rem 25
  14. 248 rem 834
  15. 839 rem 58
  16. 1003 rem 63
  17. 266 rem 66
  18. 527 rem 7
  19. 317 rem 707
  20. 600 rem 391
  21. 662 rem 23
  22. 1029 rem 53
  23. 78 rem 68
  24. 153 rem 69
  25. 534 rem 9
  26. 44 rem 575
  27. 827 rem 6
  28. 150 rem 5
  29. 991 rem 532
  30. 577 rem 327
  31. 383 rem 691
  32. 117 rem 583
  33. 852 rem 35
  34. 969 rem 444
  35. 488 rem 90
  36. 726 rem 169
  37. 553 rem 102
  38. 77 rem 542
  39. 297 rem 79
  40. 271 rem 26

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