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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 43 · 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. 1.30019 ÷ 96 =
  2. 2.666712 ÷ 989 =
  3. 3.62660 ÷ 88 =
  4. 4.70108 ÷ 89 =
  5. 5.781701 ÷ 997 =
  6. 6.610939 ÷ 897 =
  7. 7.2057 ÷ 98 =
  8. 8.723613 ÷ 998 =
  9. 9.308290 ÷ 989 =
  10. 10.11999 ÷ 98 =
  11. 11.60859 ÷ 98 =
  12. 12.76947 ÷ 89 =
  13. 13.557757 ÷ 997 =
  14. 14.363432 ÷ 988 =
  15. 15.48288 ÷ 989 =
  16. 16.682170 ÷ 998 =
  17. 17.452908 ÷ 989 =
  18. 18.53480 ÷ 98 =
  19. 19.537176 ÷ 997 =
  20. 20.9443 ÷ 8 =
  21. 21.54106 ÷ 98 =
  22. 22.52057 ÷ 89 =
  23. 23.118687 ÷ 989 =
  24. 24.7558 ÷ 8 =
  25. 25.77942 ÷ 97 =
  26. 26.3091 ÷ 8 =
  27. 27.6924 ÷ 89 =
  28. 28.29072 ÷ 88 =
  29. 29.177553 ÷ 997 =
  30. 30.75024 ÷ 98 =
  31. 31.57298 ÷ 88 =
  32. 32.229133 ÷ 997 =
  33. 33.80487 ÷ 88 =
  34. 34.6508 ÷ 8 =
  35. 35.66925 ÷ 96 =
  36. 36.20030 ÷ 88 =
  37. 37.642289 ÷ 988 =
  38. 38.52995 ÷ 88 =
  39. 39.88556 ÷ 98 =
  40. 40.87903 ÷ 98 =

Answer key

  1. 312 rem 67
  2. 674 rem 126
  3. 712 rem 4
  4. 787 rem 65
  5. 784 rem 53
  6. 681 rem 82
  7. 20 rem 97
  8. 725 rem 63
  9. 311 rem 711
  10. 122 rem 43
  11. 621 rem 1
  12. 864 rem 51
  13. 559 rem 434
  14. 367 rem 836
  15. 48 rem 816
  16. 683 rem 536
  17. 457 rem 935
  18. 545 rem 70
  19. 538 rem 790
  20. 1180 rem 3
  21. 552 rem 10
  22. 584 rem 81
  23. 120 rem 7
  24. 944 rem 6
  25. 803 rem 51
  26. 386 rem 3
  27. 77 rem 71
  28. 330 rem 32
  29. 178 rem 87
  30. 765 rem 54
  31. 651 rem 10
  32. 229 rem 820
  33. 914 rem 55
  34. 813 rem 4
  35. 697 rem 13
  36. 227 rem 54
  37. 650 rem 89
  38. 602 rem 19
  39. 903 rem 62
  40. 896 rem 95

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