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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 213 · 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. 1.431525 ÷ 988 =
  2. 2.838344 ÷ 997 =
  3. 3.634625 ÷ 988 =
  4. 4.193327 ÷ 998 =
  5. 5.500069 ÷ 997 =
  6. 6.22296 ÷ 98 =
  7. 7.79742 ÷ 988 =
  8. 8.58816 ÷ 98 =
  9. 9.656318 ÷ 988 =
  10. 10.389667 ÷ 997 =
  11. 11.82810 ÷ 88 =
  12. 12.810475 ÷ 897 =
  13. 13.94980 ÷ 96 =
  14. 14.22562 ÷ 88 =
  15. 15.8302 ÷ 8 =
  16. 16.195706 ÷ 988 =
  17. 17.11806 ÷ 97 =
  18. 18.65540 ÷ 98 =
  19. 19.79732 ÷ 96 =
  20. 20.8411 ÷ 89 =
  21. 21.548802 ÷ 998 =
  22. 22.32696 ÷ 98 =
  23. 23.88775 ÷ 98 =
  24. 24.71594 ÷ 96 =
  25. 25.38795 ÷ 89 =
  26. 26.518967 ÷ 998 =
  27. 27.902144 ÷ 897 =
  28. 28.571694 ÷ 998 =
  29. 29.886487 ÷ 998 =
  30. 30.42231 ÷ 98 =
  31. 31.27682 ÷ 89 =
  32. 32.630252 ÷ 988 =
  33. 33.9304 ÷ 8 =
  34. 34.563492 ÷ 997 =
  35. 35.6642 ÷ 88 =
  36. 36.432525 ÷ 989 =
  37. 37.37347 ÷ 97 =
  38. 38.240365 ÷ 998 =
  39. 39.309065 ÷ 897 =
  40. 40.725730 ÷ 998 =

Answer key

  1. 436 rem 757
  2. 840 rem 864
  3. 642 rem 329
  4. 193 rem 713
  5. 501 rem 572
  6. 227 rem 50
  7. 80 rem 702
  8. 600 rem 16
  9. 664 rem 286
  10. 390 rem 837
  11. 941 rem 2
  12. 903 rem 484
  13. 989 rem 36
  14. 256 rem 34
  15. 1037 rem 6
  16. 198 rem 82
  17. 121 rem 69
  18. 668 rem 76
  19. 830 rem 52
  20. 94 rem 45
  21. 549 rem 900
  22. 333 rem 62
  23. 905 rem 85
  24. 745 rem 74
  25. 435 rem 80
  26. 520 rem 7
  27. 1005 rem 659
  28. 572 rem 838
  29. 888 rem 263
  30. 430 rem 91
  31. 311 rem 3
  32. 637 rem 896
  33. 1163 rem 0
  34. 565 rem 187
  35. 75 rem 42
  36. 437 rem 332
  37. 385 rem 2
  38. 240 rem 845
  39. 344 rem 497
  40. 727 rem 184

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