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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 504 · 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. 1.366548 ÷ 998 =
  2. 2.4411 ÷ 8 =
  3. 3.16351 ÷ 97 =
  4. 4.19718 ÷ 88 =
  5. 5.5307 ÷ 98 =
  6. 6.3880 ÷ 8 =
  7. 7.952606 ÷ 997 =
  8. 8.543721 ÷ 988 =
  9. 9.36573 ÷ 98 =
  10. 10.62412 ÷ 96 =
  11. 11.707945 ÷ 988 =
  12. 12.89962 ÷ 98 =
  13. 13.20151 ÷ 88 =
  14. 14.2086 ÷ 88 =
  15. 15.38686 ÷ 89 =
  16. 16.8498 ÷ 8 =
  17. 17.87541 ÷ 97 =
  18. 18.782816 ÷ 897 =
  19. 19.103791 ÷ 997 =
  20. 20.834059 ÷ 897 =
  21. 21.85024 ÷ 97 =
  22. 22.90472 ÷ 897 =
  23. 23.561199 ÷ 988 =
  24. 24.64887 ÷ 998 =
  25. 25.73175 ÷ 98 =
  26. 26.17409 ÷ 96 =
  27. 27.84980 ÷ 997 =
  28. 28.860994 ÷ 989 =
  29. 29.427007 ÷ 988 =
  30. 30.22147 ÷ 96 =
  31. 31.610475 ÷ 989 =
  32. 32.363632 ÷ 997 =
  33. 33.136173 ÷ 989 =
  34. 34.596107 ÷ 998 =
  35. 35.653698 ÷ 988 =
  36. 36.423052 ÷ 998 =
  37. 37.310000 ÷ 997 =
  38. 38.50278 ÷ 88 =
  39. 39.176561 ÷ 998 =
  40. 40.861479 ÷ 989 =

Answer key

  1. 367 rem 282
  2. 551 rem 3
  3. 168 rem 55
  4. 224 rem 6
  5. 54 rem 15
  6. 485 rem 0
  7. 955 rem 471
  8. 550 rem 321
  9. 373 rem 19
  10. 650 rem 12
  11. 716 rem 537
  12. 917 rem 96
  13. 228 rem 87
  14. 23 rem 62
  15. 434 rem 60
  16. 1062 rem 2
  17. 902 rem 47
  18. 872 rem 632
  19. 104 rem 103
  20. 929 rem 746
  21. 876 rem 52
  22. 100 rem 772
  23. 568 rem 15
  24. 65 rem 17
  25. 746 rem 67
  26. 181 rem 33
  27. 85 rem 235
  28. 870 rem 564
  29. 432 rem 191
  30. 230 rem 67
  31. 617 rem 262
  32. 364 rem 724
  33. 137 rem 680
  34. 597 rem 301
  35. 661 rem 630
  36. 423 rem 898
  37. 310 rem 930
  38. 571 rem 30
  39. 176 rem 913
  40. 871 rem 60

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