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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 192 · 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. 1.72415 ÷ 98 =
  2. 2.4732 ÷ 8 =
  3. 3.653195 ÷ 988 =
  4. 4.68473 ÷ 89 =
  5. 5.796590 ÷ 989 =
  6. 6.86172 ÷ 98 =
  7. 7.955317 ÷ 988 =
  8. 8.46230 ÷ 97 =
  9. 9.512900 ÷ 989 =
  10. 10.767801 ÷ 997 =
  11. 11.944255 ÷ 997 =
  12. 12.96000 ÷ 88 =
  13. 13.71768 ÷ 89 =
  14. 14.35154 ÷ 897 =
  15. 15.45619 ÷ 988 =
  16. 16.172578 ÷ 997 =
  17. 17.54023 ÷ 98 =
  18. 18.645614 ÷ 989 =
  19. 19.900547 ÷ 998 =
  20. 20.44909 ÷ 96 =
  21. 21.97401 ÷ 97 =
  22. 22.346870 ÷ 988 =
  23. 23.515165 ÷ 997 =
  24. 24.60864 ÷ 97 =
  25. 25.308422 ÷ 998 =
  26. 26.804165 ÷ 988 =
  27. 27.93909 ÷ 97 =
  28. 28.75022 ÷ 97 =
  29. 29.46591 ÷ 88 =
  30. 30.42213 ÷ 97 =
  31. 31.73773 ÷ 98 =
  32. 32.19750 ÷ 97 =
  33. 33.90455 ÷ 96 =
  34. 34.40980 ÷ 96 =
  35. 35.20294 ÷ 96 =
  36. 36.13339 ÷ 998 =
  37. 37.1100 ÷ 8 =
  38. 38.92645 ÷ 96 =
  39. 39.699261 ÷ 988 =
  40. 40.536159 ÷ 897 =

Answer key

  1. 738 rem 91
  2. 591 rem 4
  3. 661 rem 127
  4. 769 rem 32
  5. 805 rem 445
  6. 879 rem 30
  7. 966 rem 909
  8. 476 rem 58
  9. 518 rem 598
  10. 770 rem 111
  11. 947 rem 96
  12. 1090 rem 80
  13. 806 rem 34
  14. 39 rem 171
  15. 46 rem 171
  16. 173 rem 97
  17. 551 rem 25
  18. 652 rem 786
  19. 902 rem 351
  20. 467 rem 77
  21. 1004 rem 13
  22. 351 rem 82
  23. 516 rem 713
  24. 627 rem 45
  25. 309 rem 40
  26. 813 rem 921
  27. 968 rem 13
  28. 773 rem 41
  29. 529 rem 39
  30. 435 rem 18
  31. 752 rem 77
  32. 203 rem 59
  33. 942 rem 23
  34. 426 rem 84
  35. 211 rem 38
  36. 13 rem 365
  37. 137 rem 4
  38. 965 rem 5
  39. 707 rem 745
  40. 597 rem 650

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