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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 226 · 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. 1.39907 ÷ 89 =
  2. 2.19441 ÷ 97 =
  3. 3.587515 ÷ 988 =
  4. 4.66081 ÷ 96 =
  5. 5.46828 ÷ 96 =
  6. 6.642136 ÷ 989 =
  7. 7.143103 ÷ 897 =
  8. 8.78103 ÷ 96 =
  9. 9.393077 ÷ 989 =
  10. 10.70989 ÷ 89 =
  11. 11.496843 ÷ 897 =
  12. 12.275573 ÷ 897 =
  13. 13.848850 ÷ 988 =
  14. 14.97492 ÷ 89 =
  15. 15.772910 ÷ 989 =
  16. 16.63185 ÷ 98 =
  17. 17.130939 ÷ 897 =
  18. 18.758975 ÷ 988 =
  19. 19.277253 ÷ 997 =
  20. 20.29526 ÷ 97 =
  21. 21.31838 ÷ 89 =
  22. 22.131349 ÷ 998 =
  23. 23.78967 ÷ 98 =
  24. 24.52921 ÷ 98 =
  25. 25.1750 ÷ 8 =
  26. 26.329296 ÷ 988 =
  27. 27.135676 ÷ 998 =
  28. 28.9458 ÷ 96 =
  29. 29.126751 ÷ 989 =
  30. 30.2833 ÷ 89 =
  31. 31.64562 ÷ 88 =
  32. 32.72955 ÷ 88 =
  33. 33.704 ÷ 8 =
  34. 34.253645 ÷ 988 =
  35. 35.8852 ÷ 88 =
  36. 36.89000 ÷ 98 =
  37. 37.13176 ÷ 98 =
  38. 38.8923 ÷ 89 =
  39. 39.19347 ÷ 98 =
  40. 40.22991 ÷ 89 =

Answer key

  1. 448 rem 35
  2. 200 rem 41
  3. 594 rem 643
  4. 688 rem 33
  5. 487 rem 76
  6. 649 rem 275
  7. 159 rem 480
  8. 813 rem 55
  9. 397 rem 444
  10. 797 rem 56
  11. 553 rem 802
  12. 307 rem 194
  13. 859 rem 158
  14. 1095 rem 37
  15. 781 rem 501
  16. 644 rem 73
  17. 145 rem 874
  18. 768 rem 191
  19. 278 rem 87
  20. 304 rem 38
  21. 357 rem 65
  22. 131 rem 611
  23. 805 rem 77
  24. 540 rem 1
  25. 218 rem 6
  26. 333 rem 292
  27. 135 rem 946
  28. 98 rem 50
  29. 128 rem 159
  30. 31 rem 74
  31. 733 rem 58
  32. 829 rem 3
  33. 88 rem 0
  34. 256 rem 717
  35. 100 rem 52
  36. 908 rem 16
  37. 134 rem 44
  38. 100 rem 23
  39. 197 rem 41
  40. 258 rem 29

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