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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 252 · 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. 1.527158 ÷ 997 =
  2. 2.2755 ÷ 98 =
  3. 3.503387 ÷ 998 =
  4. 4.48841 ÷ 96 =
  5. 5.93392 ÷ 998 =
  6. 6.680834 ÷ 897 =
  7. 7.85285 ÷ 88 =
  8. 8.142514 ÷ 988 =
  9. 9.801203 ÷ 897 =
  10. 10.2611 ÷ 8 =
  11. 11.9839 ÷ 8 =
  12. 12.552341 ÷ 988 =
  13. 13.28700 ÷ 89 =
  14. 14.96899 ÷ 96 =
  15. 15.14756 ÷ 97 =
  16. 16.24667 ÷ 96 =
  17. 17.57544 ÷ 96 =
  18. 18.854410 ÷ 989 =
  19. 19.552852 ÷ 988 =
  20. 20.588671 ÷ 988 =
  21. 21.48632 ÷ 96 =
  22. 22.468641 ÷ 988 =
  23. 23.4086 ÷ 8 =
  24. 24.214841 ÷ 989 =
  25. 25.27628 ÷ 89 =
  26. 26.81812 ÷ 88 =
  27. 27.44744 ÷ 88 =
  28. 28.734732 ÷ 997 =
  29. 29.51960 ÷ 98 =
  30. 30.53598 ÷ 96 =
  31. 31.57409 ÷ 97 =
  32. 32.22668 ÷ 98 =
  33. 33.8144 ÷ 8 =
  34. 34.830221 ÷ 988 =
  35. 35.19004 ÷ 96 =
  36. 36.59051 ÷ 98 =
  37. 37.42247 ÷ 89 =
  38. 38.1464 ÷ 8 =
  39. 39.998434 ÷ 997 =
  40. 40.62898 ÷ 98 =

Answer key

  1. 528 rem 742
  2. 28 rem 11
  3. 504 rem 395
  4. 508 rem 73
  5. 93 rem 578
  6. 759 rem 11
  7. 969 rem 13
  8. 144 rem 242
  9. 893 rem 182
  10. 326 rem 3
  11. 1229 rem 7
  12. 559 rem 49
  13. 322 rem 42
  14. 1009 rem 35
  15. 152 rem 12
  16. 256 rem 91
  17. 599 rem 40
  18. 863 rem 903
  19. 559 rem 560
  20. 595 rem 811
  21. 506 rem 56
  22. 474 rem 329
  23. 510 rem 6
  24. 217 rem 228
  25. 310 rem 38
  26. 929 rem 60
  27. 508 rem 40
  28. 736 rem 940
  29. 530 rem 20
  30. 558 rem 30
  31. 591 rem 82
  32. 231 rem 30
  33. 1018 rem 0
  34. 840 rem 301
  35. 197 rem 92
  36. 602 rem 55
  37. 474 rem 61
  38. 183 rem 0
  39. 1001 rem 437
  40. 641 rem 80

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