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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 405 · 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. 1.277140 ÷ 998 =
  2. 2.47875 ÷ 97 =
  3. 3.93890 ÷ 998 =
  4. 4.82560 ÷ 89 =
  5. 5.10022 ÷ 97 =
  6. 6.86798 ÷ 96 =
  7. 7.69788 ÷ 89 =
  8. 8.47864 ÷ 96 =
  9. 9.89225 ÷ 98 =
  10. 10.68841 ÷ 97 =
  11. 11.796285 ÷ 897 =
  12. 12.35404 ÷ 98 =
  13. 13.95562 ÷ 88 =
  14. 14.33384 ÷ 97 =
  15. 15.467694 ÷ 897 =
  16. 16.50666 ÷ 98 =
  17. 17.63107 ÷ 989 =
  18. 18.2159 ÷ 8 =
  19. 19.786226 ÷ 998 =
  20. 20.78939 ÷ 88 =
  21. 21.21109 ÷ 88 =
  22. 22.4433 ÷ 89 =
  23. 23.339382 ÷ 988 =
  24. 24.14121 ÷ 98 =
  25. 25.952955 ÷ 997 =
  26. 26.54921 ÷ 989 =
  27. 27.360018 ÷ 897 =
  28. 28.299310 ÷ 988 =
  29. 29.988914 ÷ 998 =
  30. 30.57132 ÷ 98 =
  31. 31.6143 ÷ 8 =
  32. 32.955531 ÷ 997 =
  33. 33.2330 ÷ 8 =
  34. 34.233374 ÷ 997 =
  35. 35.66932 ÷ 96 =
  36. 36.506482 ÷ 897 =
  37. 37.71253 ÷ 88 =
  38. 38.35985 ÷ 989 =
  39. 39.86054 ÷ 989 =
  40. 40.39510 ÷ 988 =

Answer key

  1. 277 rem 694
  2. 493 rem 54
  3. 94 rem 78
  4. 927 rem 57
  5. 103 rem 31
  6. 904 rem 14
  7. 784 rem 12
  8. 498 rem 56
  9. 910 rem 45
  10. 709 rem 68
  11. 887 rem 646
  12. 361 rem 26
  13. 1085 rem 82
  14. 344 rem 16
  15. 521 rem 357
  16. 517 rem 0
  17. 63 rem 800
  18. 269 rem 7
  19. 787 rem 800
  20. 897 rem 3
  21. 239 rem 77
  22. 49 rem 72
  23. 343 rem 498
  24. 144 rem 9
  25. 955 rem 820
  26. 55 rem 526
  27. 401 rem 321
  28. 302 rem 934
  29. 990 rem 894
  30. 582 rem 96
  31. 767 rem 7
  32. 958 rem 405
  33. 291 rem 2
  34. 234 rem 76
  35. 697 rem 20
  36. 564 rem 574
  37. 809 rem 61
  38. 36 rem 381
  39. 87 rem 11
  40. 39 rem 978

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