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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 930 · 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. 1.239527 ÷ 998 =
  2. 2.211463 ÷ 988 =
  3. 3.14903 ÷ 97 =
  4. 4.89790 ÷ 98 =
  5. 5.908101 ÷ 997 =
  6. 6.537828 ÷ 897 =
  7. 7.48146 ÷ 96 =
  8. 8.339755 ÷ 897 =
  9. 9.271115 ÷ 988 =
  10. 10.87955 ÷ 88 =
  11. 11.64026 ÷ 988 =
  12. 12.27232 ÷ 89 =
  13. 13.56210 ÷ 96 =
  14. 14.71142 ÷ 96 =
  15. 15.98776 ÷ 98 =
  16. 16.13639 ÷ 96 =
  17. 17.367708 ÷ 897 =
  18. 18.62069 ÷ 97 =
  19. 19.36513 ÷ 98 =
  20. 20.79195 ÷ 98 =
  21. 21.79748 ÷ 97 =
  22. 22.327021 ÷ 989 =
  23. 23.30191 ÷ 89 =
  24. 24.29723 ÷ 97 =
  25. 25.349226 ÷ 997 =
  26. 26.877164 ÷ 988 =
  27. 27.813531 ÷ 989 =
  28. 28.4783 ÷ 97 =
  29. 29.87881 ÷ 98 =
  30. 30.643563 ÷ 988 =
  31. 31.80191 ÷ 88 =
  32. 32.22467 ÷ 97 =
  33. 33.4786 ÷ 88 =
  34. 34.4030 ÷ 8 =
  35. 35.167758 ÷ 988 =
  36. 36.2655 ÷ 8 =
  37. 37.86295 ÷ 97 =
  38. 38.4152 ÷ 8 =
  39. 39.77112 ÷ 98 =
  40. 40.595696 ÷ 897 =

Answer key

  1. 240 rem 7
  2. 214 rem 31
  3. 153 rem 62
  4. 916 rem 22
  5. 910 rem 831
  6. 599 rem 525
  7. 501 rem 50
  8. 378 rem 689
  9. 274 rem 403
  10. 999 rem 43
  11. 64 rem 794
  12. 305 rem 87
  13. 585 rem 50
  14. 741 rem 6
  15. 1007 rem 90
  16. 142 rem 7
  17. 409 rem 835
  18. 639 rem 86
  19. 372 rem 57
  20. 808 rem 11
  21. 822 rem 14
  22. 330 rem 651
  23. 339 rem 20
  24. 306 rem 41
  25. 350 rem 276
  26. 887 rem 808
  27. 822 rem 573
  28. 49 rem 30
  29. 896 rem 73
  30. 651 rem 375
  31. 911 rem 23
  32. 231 rem 60
  33. 54 rem 34
  34. 503 rem 6
  35. 169 rem 786
  36. 331 rem 7
  37. 889 rem 62
  38. 519 rem 0
  39. 786 rem 84
  40. 664 rem 88

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