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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 78 · 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. 1.639800 ÷ 998 =
  2. 2.74494 ÷ 98 =
  3. 3.5303 ÷ 8 =
  4. 4.56349 ÷ 997 =
  5. 5.22451 ÷ 988 =
  6. 6.79179 ÷ 988 =
  7. 7.8332 ÷ 8 =
  8. 8.815873 ÷ 989 =
  9. 9.77340 ÷ 98 =
  10. 10.68350 ÷ 97 =
  11. 11.49071 ÷ 89 =
  12. 12.131077 ÷ 897 =
  13. 13.68332 ÷ 897 =
  14. 14.291262 ÷ 988 =
  15. 15.745515 ÷ 997 =
  16. 16.3181 ÷ 96 =
  17. 17.49207 ÷ 97 =
  18. 18.9182 ÷ 88 =
  19. 19.66520 ÷ 97 =
  20. 20.927842 ÷ 998 =
  21. 21.7072 ÷ 8 =
  22. 22.13988 ÷ 96 =
  23. 23.541189 ÷ 998 =
  24. 24.207677 ÷ 897 =
  25. 25.5482 ÷ 8 =
  26. 26.69363 ÷ 97 =
  27. 27.563738 ÷ 988 =
  28. 28.56805 ÷ 97 =
  29. 29.10864 ÷ 997 =
  30. 30.12495 ÷ 98 =
  31. 31.70622 ÷ 897 =
  32. 32.32717 ÷ 89 =
  33. 33.428379 ÷ 989 =
  34. 34.34125 ÷ 96 =
  35. 35.91555 ÷ 89 =
  36. 36.580567 ÷ 989 =
  37. 37.85815 ÷ 897 =
  38. 38.30884 ÷ 89 =
  39. 39.968259 ÷ 998 =
  40. 40.44474 ÷ 96 =

Answer key

  1. 641 rem 82
  2. 760 rem 14
  3. 662 rem 7
  4. 56 rem 517
  5. 22 rem 715
  6. 80 rem 139
  7. 1041 rem 4
  8. 824 rem 937
  9. 789 rem 18
  10. 704 rem 62
  11. 551 rem 32
  12. 146 rem 115
  13. 76 rem 160
  14. 294 rem 790
  15. 747 rem 756
  16. 33 rem 13
  17. 507 rem 28
  18. 104 rem 30
  19. 685 rem 75
  20. 929 rem 700
  21. 884 rem 0
  22. 145 rem 68
  23. 542 rem 273
  24. 231 rem 470
  25. 685 rem 2
  26. 715 rem 8
  27. 570 rem 578
  28. 585 rem 60
  29. 10 rem 894
  30. 127 rem 49
  31. 78 rem 656
  32. 367 rem 54
  33. 433 rem 142
  34. 355 rem 45
  35. 1028 rem 63
  36. 587 rem 24
  37. 95 rem 600
  38. 347 rem 1
  39. 970 rem 199
  40. 463 rem 26

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