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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 947 · 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. 1.10012 ÷ 98 =
  2. 2.11842 ÷ 97 =
  3. 3.64583 ÷ 89 =
  4. 4.821957 ÷ 897 =
  5. 5.875 ÷ 8 =
  6. 6.160651 ÷ 989 =
  7. 7.786839 ÷ 897 =
  8. 8.88738 ÷ 97 =
  9. 9.39301 ÷ 97 =
  10. 10.67277 ÷ 96 =
  11. 11.84189 ÷ 98 =
  12. 12.15694 ÷ 97 =
  13. 13.423759 ÷ 989 =
  14. 14.639293 ÷ 997 =
  15. 15.512725 ÷ 897 =
  16. 16.6009 ÷ 8 =
  17. 17.708547 ÷ 897 =
  18. 18.640502 ÷ 897 =
  19. 19.422447 ÷ 989 =
  20. 20.6992 ÷ 8 =
  21. 21.54679 ÷ 88 =
  22. 22.68133 ÷ 96 =
  23. 23.25145 ÷ 88 =
  24. 24.90077 ÷ 989 =
  25. 25.836096 ÷ 897 =
  26. 26.29253 ÷ 88 =
  27. 27.678948 ÷ 897 =
  28. 28.99428 ÷ 89 =
  29. 29.76011 ÷ 98 =
  30. 30.143639 ÷ 997 =
  31. 31.44317 ÷ 96 =
  32. 32.74144 ÷ 88 =
  33. 33.64993 ÷ 98 =
  34. 34.70761 ÷ 88 =
  35. 35.10024 ÷ 96 =
  36. 36.844761 ÷ 997 =
  37. 37.277517 ÷ 989 =
  38. 38.901946 ÷ 897 =
  39. 39.59453 ÷ 98 =
  40. 40.24624 ÷ 97 =

Answer key

  1. 102 rem 16
  2. 122 rem 8
  3. 725 rem 58
  4. 916 rem 305
  5. 109 rem 3
  6. 162 rem 433
  7. 877 rem 170
  8. 914 rem 80
  9. 405 rem 16
  10. 700 rem 77
  11. 859 rem 7
  12. 161 rem 77
  13. 428 rem 467
  14. 641 rem 216
  15. 571 rem 538
  16. 751 rem 1
  17. 789 rem 814
  18. 714 rem 44
  19. 427 rem 144
  20. 874 rem 0
  21. 621 rem 31
  22. 709 rem 69
  23. 285 rem 65
  24. 91 rem 78
  25. 932 rem 92
  26. 332 rem 37
  27. 756 rem 816
  28. 1117 rem 15
  29. 775 rem 61
  30. 144 rem 71
  31. 461 rem 61
  32. 842 rem 48
  33. 663 rem 19
  34. 804 rem 9
  35. 104 rem 40
  36. 847 rem 302
  37. 280 rem 597
  38. 1005 rem 461
  39. 606 rem 65
  40. 253 rem 83

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