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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 665 · 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. 1.98190 ÷ 96 =
  2. 2.767605 ÷ 988 =
  3. 3.954825 ÷ 897 =
  4. 4.24596 ÷ 98 =
  5. 5.286055 ÷ 997 =
  6. 6.90109 ÷ 89 =
  7. 7.256260 ÷ 988 =
  8. 8.51442 ÷ 88 =
  9. 9.4668 ÷ 8 =
  10. 10.4883 ÷ 88 =
  11. 11.59600 ÷ 98 =
  12. 12.300654 ÷ 897 =
  13. 13.48677 ÷ 88 =
  14. 14.611112 ÷ 897 =
  15. 15.273284 ÷ 997 =
  16. 16.799756 ÷ 897 =
  17. 17.769561 ÷ 997 =
  18. 18.650728 ÷ 989 =
  19. 19.904127 ÷ 989 =
  20. 20.136292 ÷ 897 =
  21. 21.69809 ÷ 96 =
  22. 22.20077 ÷ 89 =
  23. 23.211455 ÷ 988 =
  24. 24.15909 ÷ 96 =
  25. 25.29459 ÷ 98 =
  26. 26.656902 ÷ 988 =
  27. 27.834299 ÷ 897 =
  28. 28.389686 ÷ 988 =
  29. 29.1524 ÷ 8 =
  30. 30.61566 ÷ 96 =
  31. 31.992189 ÷ 897 =
  32. 32.765504 ÷ 897 =
  33. 33.93132 ÷ 97 =
  34. 34.9307 ÷ 89 =
  35. 35.104906 ÷ 988 =
  36. 36.93911 ÷ 89 =
  37. 37.56041 ÷ 88 =
  38. 38.659730 ÷ 897 =
  39. 39.66232 ÷ 997 =
  40. 40.8488 ÷ 8 =

Answer key

  1. 1022 rem 78
  2. 776 rem 917
  3. 1064 rem 417
  4. 250 rem 96
  5. 286 rem 913
  6. 1012 rem 41
  7. 259 rem 368
  8. 584 rem 50
  9. 583 rem 4
  10. 55 rem 43
  11. 608 rem 16
  12. 335 rem 159
  13. 553 rem 13
  14. 681 rem 255
  15. 274 rem 106
  16. 891 rem 529
  17. 771 rem 874
  18. 657 rem 955
  19. 914 rem 181
  20. 151 rem 845
  21. 727 rem 17
  22. 225 rem 52
  23. 214 rem 23
  24. 165 rem 69
  25. 300 rem 59
  26. 664 rem 870
  27. 930 rem 89
  28. 394 rem 414
  29. 190 rem 4
  30. 641 rem 30
  31. 1106 rem 107
  32. 853 rem 363
  33. 960 rem 12
  34. 104 rem 51
  35. 106 rem 178
  36. 1055 rem 16
  37. 636 rem 73
  38. 735 rem 435
  39. 66 rem 430
  40. 1061 rem 0

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