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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 465 · 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. 1.104427 ÷ 989 =
  2. 2.22777 ÷ 96 =
  3. 3.23220 ÷ 988 =
  4. 4.94383 ÷ 89 =
  5. 5.810227 ÷ 998 =
  6. 6.10238 ÷ 96 =
  7. 7.724554 ÷ 989 =
  8. 8.875885 ÷ 989 =
  9. 9.896931 ÷ 897 =
  10. 10.8923 ÷ 8 =
  11. 11.40276 ÷ 98 =
  12. 12.843687 ÷ 997 =
  13. 13.6508 ÷ 8 =
  14. 14.91872 ÷ 97 =
  15. 15.206884 ÷ 997 =
  16. 16.194777 ÷ 897 =
  17. 17.10889 ÷ 97 =
  18. 18.493178 ÷ 989 =
  19. 19.191298 ÷ 997 =
  20. 20.42747 ÷ 96 =
  21. 21.641674 ÷ 988 =
  22. 22.482777 ÷ 998 =
  23. 23.573004 ÷ 897 =
  24. 24.390662 ÷ 997 =
  25. 25.618054 ÷ 989 =
  26. 26.59052 ÷ 98 =
  27. 27.95403 ÷ 98 =
  28. 28.18066 ÷ 88 =
  29. 29.577597 ÷ 988 =
  30. 30.733769 ÷ 989 =
  31. 31.68965 ÷ 98 =
  32. 32.88512 ÷ 89 =
  33. 33.66926 ÷ 97 =
  34. 34.87033 ÷ 97 =
  35. 35.58763 ÷ 88 =
  36. 36.85025 ÷ 89 =
  37. 37.582637 ÷ 997 =
  38. 38.426 ÷ 8 =
  39. 39.16160 ÷ 89 =
  40. 40.366473 ÷ 998 =

Answer key

  1. 105 rem 582
  2. 237 rem 25
  3. 23 rem 496
  4. 1060 rem 43
  5. 811 rem 849
  6. 106 rem 62
  7. 732 rem 606
  8. 885 rem 620
  9. 999 rem 828
  10. 1115 rem 3
  11. 410 rem 96
  12. 846 rem 225
  13. 813 rem 4
  14. 947 rem 13
  15. 207 rem 505
  16. 217 rem 128
  17. 112 rem 25
  18. 498 rem 656
  19. 191 rem 871
  20. 445 rem 27
  21. 649 rem 462
  22. 483 rem 743
  23. 638 rem 718
  24. 391 rem 835
  25. 624 rem 918
  26. 602 rem 56
  27. 973 rem 49
  28. 205 rem 26
  29. 584 rem 605
  30. 741 rem 920
  31. 703 rem 71
  32. 994 rem 46
  33. 689 rem 93
  34. 897 rem 24
  35. 667 rem 67
  36. 955 rem 30
  37. 584 rem 389
  38. 53 rem 2
  39. 181 rem 51
  40. 367 rem 207

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