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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 801 · 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. 1.43429 ÷ 98 =
  2. 2.30033 ÷ 97 =
  3. 3.6138 ÷ 8 =
  4. 4.93978 ÷ 89 =
  5. 5.684405 ÷ 988 =
  6. 6.564751 ÷ 998 =
  7. 7.18031 ÷ 96 =
  8. 8.785247 ÷ 988 =
  9. 9.906622 ÷ 998 =
  10. 10.5477 ÷ 98 =
  11. 11.31795 ÷ 89 =
  12. 12.74719 ÷ 89 =
  13. 13.94884 ÷ 98 =
  14. 14.42536 ÷ 97 =
  15. 15.282368 ÷ 897 =
  16. 16.22468 ÷ 98 =
  17. 17.74349 ÷ 98 =
  18. 18.75276 ÷ 88 =
  19. 19.6767 ÷ 89 =
  20. 20.253165 ÷ 988 =
  21. 21.6252 ÷ 8 =
  22. 22.585747 ÷ 997 =
  23. 23.597514 ÷ 988 =
  24. 24.99453 ÷ 88 =
  25. 25.8448 ÷ 8 =
  26. 26.43873 ÷ 97 =
  27. 27.7653 ÷ 8 =
  28. 28.344002 ÷ 989 =
  29. 29.961132 ÷ 997 =
  30. 30.802424 ÷ 998 =
  31. 31.16381 ÷ 97 =
  32. 32.173828 ÷ 998 =
  33. 33.920799 ÷ 988 =
  34. 34.35339 ÷ 96 =
  35. 35.779862 ÷ 998 =
  36. 36.67518 ÷ 97 =
  37. 37.40739 ÷ 98 =
  38. 38.721414 ÷ 998 =
  39. 39.999742 ÷ 998 =
  40. 40.80015 ÷ 97 =

Answer key

  1. 443 rem 15
  2. 309 rem 60
  3. 767 rem 2
  4. 1055 rem 83
  5. 692 rem 709
  6. 565 rem 881
  7. 187 rem 79
  8. 794 rem 775
  9. 908 rem 438
  10. 55 rem 87
  11. 357 rem 22
  12. 839 rem 48
  13. 968 rem 20
  14. 438 rem 50
  15. 314 rem 710
  16. 229 rem 26
  17. 758 rem 65
  18. 855 rem 36
  19. 76 rem 3
  20. 256 rem 237
  21. 781 rem 4
  22. 587 rem 508
  23. 604 rem 762
  24. 1130 rem 13
  25. 1056 rem 0
  26. 452 rem 29
  27. 956 rem 5
  28. 347 rem 819
  29. 964 rem 24
  30. 804 rem 32
  31. 168 rem 85
  32. 174 rem 176
  33. 931 rem 971
  34. 368 rem 11
  35. 781 rem 424
  36. 696 rem 6
  37. 415 rem 69
  38. 722 rem 858
  39. 1001 rem 744
  40. 824 rem 87

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