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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 750 · 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. 1.389727 ÷ 998 =
  2. 2.77190 ÷ 97 =
  3. 3.181952 ÷ 988 =
  4. 4.85868 ÷ 89 =
  5. 5.6812 ÷ 8 =
  6. 6.2364 ÷ 8 =
  7. 7.235946 ÷ 998 =
  8. 8.405 ÷ 8 =
  9. 9.56517 ÷ 98 =
  10. 10.227004 ÷ 897 =
  11. 11.94877 ÷ 97 =
  12. 12.85633 ÷ 98 =
  13. 13.50731 ÷ 98 =
  14. 14.983927 ÷ 988 =
  15. 15.4931 ÷ 88 =
  16. 16.397698 ÷ 897 =
  17. 17.574270 ÷ 897 =
  18. 18.1837 ÷ 8 =
  19. 19.519352 ÷ 998 =
  20. 20.370646 ÷ 997 =
  21. 21.3993 ÷ 98 =
  22. 22.89283 ÷ 88 =
  23. 23.651290 ÷ 997 =
  24. 24.302512 ÷ 897 =
  25. 25.16125 ÷ 97 =
  26. 26.817604 ÷ 897 =
  27. 27.40456 ÷ 98 =
  28. 28.721899 ÷ 998 =
  29. 29.11311 ÷ 98 =
  30. 30.69069 ÷ 97 =
  31. 31.33115 ÷ 88 =
  32. 32.74925 ÷ 98 =
  33. 33.958261 ÷ 989 =
  34. 34.538197 ÷ 988 =
  35. 35.541016 ÷ 897 =
  36. 36.105219 ÷ 897 =
  37. 37.216309 ÷ 998 =
  38. 38.612553 ÷ 988 =
  39. 39.234176 ÷ 989 =
  40. 40.979758 ÷ 998 =

Answer key

  1. 390 rem 507
  2. 795 rem 75
  3. 184 rem 160
  4. 964 rem 72
  5. 851 rem 4
  6. 295 rem 4
  7. 236 rem 418
  8. 50 rem 5
  9. 576 rem 69
  10. 253 rem 63
  11. 978 rem 11
  12. 873 rem 79
  13. 517 rem 65
  14. 995 rem 867
  15. 56 rem 3
  16. 443 rem 327
  17. 640 rem 190
  18. 229 rem 5
  19. 520 rem 392
  20. 371 rem 759
  21. 40 rem 73
  22. 1014 rem 51
  23. 653 rem 249
  24. 337 rem 223
  25. 166 rem 23
  26. 911 rem 437
  27. 412 rem 80
  28. 723 rem 345
  29. 115 rem 41
  30. 712 rem 5
  31. 376 rem 27
  32. 764 rem 53
  33. 968 rem 909
  34. 544 rem 725
  35. 603 rem 125
  36. 117 rem 270
  37. 216 rem 741
  38. 619 rem 981
  39. 236 rem 772
  40. 981 rem 720

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