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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 721 · 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. 1.83163 ÷ 96 =
  2. 2.63211 ÷ 96 =
  3. 3.34992 ÷ 97 =
  4. 4.88595 ÷ 88 =
  5. 5.17733 ÷ 88 =
  6. 6.57966 ÷ 97 =
  7. 7.247724 ÷ 998 =
  8. 8.6343 ÷ 8 =
  9. 9.34763 ÷ 96 =
  10. 10.60610 ÷ 98 =
  11. 11.59138 ÷ 89 =
  12. 12.784064 ÷ 989 =
  13. 13.9019 ÷ 8 =
  14. 14.3396 ÷ 98 =
  15. 15.641 ÷ 8 =
  16. 16.93031 ÷ 96 =
  17. 17.89279 ÷ 97 =
  18. 18.97574 ÷ 97 =
  19. 19.17672 ÷ 98 =
  20. 20.4695 ÷ 8 =
  21. 21.134108 ÷ 988 =
  22. 22.6928 ÷ 8 =
  23. 23.25076 ÷ 96 =
  24. 24.5611 ÷ 8 =
  25. 25.358992 ÷ 998 =
  26. 26.746829 ÷ 997 =
  27. 27.938838 ÷ 997 =
  28. 28.67658 ÷ 97 =
  29. 29.95327 ÷ 88 =
  30. 30.651498 ÷ 997 =
  31. 31.37553 ÷ 97 =
  32. 32.428124 ÷ 997 =
  33. 33.29121 ÷ 88 =
  34. 34.467609 ÷ 989 =
  35. 35.942844 ÷ 897 =
  36. 36.4203 ÷ 8 =
  37. 37.769496 ÷ 897 =
  38. 38.40986 ÷ 96 =
  39. 39.138916 ÷ 989 =
  40. 40.6690 ÷ 8 =

Answer key

  1. 866 rem 27
  2. 658 rem 43
  3. 360 rem 72
  4. 1006 rem 67
  5. 201 rem 45
  6. 597 rem 57
  7. 248 rem 220
  8. 792 rem 7
  9. 362 rem 11
  10. 618 rem 46
  11. 664 rem 42
  12. 792 rem 776
  13. 1127 rem 3
  14. 34 rem 64
  15. 80 rem 1
  16. 969 rem 7
  17. 920 rem 39
  18. 1005 rem 89
  19. 180 rem 32
  20. 586 rem 7
  21. 135 rem 728
  22. 866 rem 0
  23. 261 rem 20
  24. 701 rem 3
  25. 359 rem 710
  26. 749 rem 76
  27. 941 rem 661
  28. 697 rem 49
  29. 1083 rem 23
  30. 653 rem 457
  31. 387 rem 14
  32. 429 rem 411
  33. 330 rem 81
  34. 472 rem 801
  35. 1051 rem 97
  36. 525 rem 3
  37. 857 rem 767
  38. 426 rem 90
  39. 140 rem 456
  40. 836 rem 2

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