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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 612 · 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. 1.82124 ÷ 98 =
  2. 2.8295 ÷ 8 =
  3. 3.29551 ÷ 998 =
  4. 4.881725 ÷ 988 =
  5. 5.78831 ÷ 89 =
  6. 6.11873 ÷ 97 =
  7. 7.414491 ÷ 988 =
  8. 8.40061 ÷ 97 =
  9. 9.65324 ÷ 997 =
  10. 10.16749 ÷ 98 =
  11. 11.92817 ÷ 89 =
  12. 12.6000 ÷ 8 =
  13. 13.80878 ÷ 97 =
  14. 14.53467 ÷ 997 =
  15. 15.98722 ÷ 96 =
  16. 16.636866 ÷ 998 =
  17. 17.33955 ÷ 97 =
  18. 18.46977 ÷ 897 =
  19. 19.35402 ÷ 97 =
  20. 20.920255 ÷ 988 =
  21. 21.42397 ÷ 88 =
  22. 22.103815 ÷ 997 =
  23. 23.241805 ÷ 897 =
  24. 24.532558 ÷ 988 =
  25. 25.800084 ÷ 997 =
  26. 26.460646 ÷ 988 =
  27. 27.19238 ÷ 98 =
  28. 28.184069 ÷ 989 =
  29. 29.427554 ÷ 989 =
  30. 30.12114 ÷ 98 =
  31. 31.97256 ÷ 88 =
  32. 32.669970 ÷ 988 =
  33. 33.131497 ÷ 989 =
  34. 34.399654 ÷ 988 =
  35. 35.68390 ÷ 97 =
  36. 36.45195 ÷ 88 =
  37. 37.646100 ÷ 997 =
  38. 38.911849 ÷ 988 =
  39. 39.31338 ÷ 97 =
  40. 40.510276 ÷ 989 =

Answer key

  1. 838 rem 0
  2. 1036 rem 7
  3. 29 rem 609
  4. 892 rem 429
  5. 885 rem 66
  6. 122 rem 39
  7. 419 rem 519
  8. 413 rem 0
  9. 65 rem 519
  10. 170 rem 89
  11. 1042 rem 79
  12. 750 rem 0
  13. 833 rem 77
  14. 53 rem 626
  15. 1028 rem 34
  16. 638 rem 142
  17. 350 rem 5
  18. 52 rem 333
  19. 364 rem 94
  20. 931 rem 427
  21. 481 rem 69
  22. 104 rem 127
  23. 269 rem 512
  24. 539 rem 26
  25. 802 rem 490
  26. 466 rem 238
  27. 196 rem 30
  28. 186 rem 115
  29. 432 rem 306
  30. 123 rem 60
  31. 1105 rem 16
  32. 678 rem 106
  33. 132 rem 949
  34. 404 rem 502
  35. 705 rem 5
  36. 513 rem 51
  37. 648 rem 44
  38. 922 rem 913
  39. 323 rem 7
  40. 515 rem 941

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