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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 776 · 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. 1.34118 ÷ 97 =
  2. 2.13428 ÷ 96 =
  3. 3.8975 ÷ 8 =
  4. 4.5027 ÷ 8 =
  5. 5.854799 ÷ 988 =
  6. 6.4583 ÷ 8 =
  7. 7.980209 ÷ 989 =
  8. 8.744382 ÷ 997 =
  9. 9.240794 ÷ 897 =
  10. 10.65924 ÷ 96 =
  11. 11.142361 ÷ 988 =
  12. 12.2687 ÷ 8 =
  13. 13.48234 ÷ 97 =
  14. 14.71245 ÷ 998 =
  15. 15.330892 ÷ 988 =
  16. 16.73162 ÷ 89 =
  17. 17.1693 ÷ 8 =
  18. 18.120957 ÷ 989 =
  19. 19.1548 ÷ 98 =
  20. 20.75783 ÷ 88 =
  21. 21.24842 ÷ 97 =
  22. 22.65772 ÷ 97 =
  23. 23.22307 ÷ 897 =
  24. 24.49341 ÷ 98 =
  25. 25.547913 ÷ 897 =
  26. 26.4475 ÷ 8 =
  27. 27.237260 ÷ 997 =
  28. 28.492460 ÷ 998 =
  29. 29.2574 ÷ 97 =
  30. 30.53488 ÷ 98 =
  31. 31.42705 ÷ 96 =
  32. 32.1778 ÷ 8 =
  33. 33.359450 ÷ 988 =
  34. 34.78200 ÷ 98 =
  35. 35.948288 ÷ 988 =
  36. 36.82015 ÷ 97 =
  37. 37.873263 ÷ 988 =
  38. 38.33700 ÷ 89 =
  39. 39.70243 ÷ 96 =
  40. 40.76776 ÷ 97 =

Answer key

  1. 351 rem 71
  2. 139 rem 84
  3. 1121 rem 7
  4. 628 rem 3
  5. 865 rem 179
  6. 572 rem 7
  7. 991 rem 110
  8. 746 rem 620
  9. 268 rem 398
  10. 686 rem 68
  11. 144 rem 89
  12. 335 rem 7
  13. 497 rem 25
  14. 71 rem 387
  15. 334 rem 900
  16. 822 rem 4
  17. 211 rem 5
  18. 122 rem 299
  19. 15 rem 78
  20. 861 rem 15
  21. 256 rem 10
  22. 678 rem 6
  23. 24 rem 779
  24. 503 rem 47
  25. 610 rem 743
  26. 559 rem 3
  27. 237 rem 971
  28. 493 rem 446
  29. 26 rem 52
  30. 545 rem 78
  31. 444 rem 81
  32. 222 rem 2
  33. 363 rem 806
  34. 797 rem 94
  35. 959 rem 796
  36. 845 rem 50
  37. 883 rem 859
  38. 378 rem 58
  39. 731 rem 67
  40. 791 rem 49

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