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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 831 · 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. 1.13471 ÷ 96 =
  2. 2.822684 ÷ 998 =
  3. 3.103966 ÷ 989 =
  4. 4.950694 ÷ 998 =
  5. 5.397578 ÷ 988 =
  6. 6.19451 ÷ 98 =
  7. 7.76020 ÷ 89 =
  8. 8.739958 ÷ 997 =
  9. 9.789199 ÷ 989 =
  10. 10.93577 ÷ 96 =
  11. 11.986369 ÷ 988 =
  12. 12.275598 ÷ 988 =
  13. 13.509375 ÷ 897 =
  14. 14.26887 ÷ 89 =
  15. 15.40317 ÷ 97 =
  16. 16.97965 ÷ 989 =
  17. 17.60672 ÷ 96 =
  18. 18.509015 ÷ 897 =
  19. 19.57078 ÷ 97 =
  20. 20.583774 ÷ 997 =
  21. 21.81200 ÷ 98 =
  22. 22.67323 ÷ 97 =
  23. 23.24153 ÷ 96 =
  24. 24.96620 ÷ 96 =
  25. 25.74204 ÷ 97 =
  26. 26.12256 ÷ 97 =
  27. 27.21288 ÷ 88 =
  28. 28.83890 ÷ 89 =
  29. 29.459980 ÷ 998 =
  30. 30.665922 ÷ 997 =
  31. 31.81197 ÷ 89 =
  32. 32.4091 ÷ 8 =
  33. 33.951032 ÷ 998 =
  34. 34.5706 ÷ 97 =
  35. 35.74190 ÷ 88 =
  36. 36.61832 ÷ 98 =
  37. 37.36103 ÷ 88 =
  38. 38.70694 ÷ 96 =
  39. 39.653200 ÷ 897 =
  40. 40.2410 ÷ 8 =

Answer key

  1. 140 rem 31
  2. 824 rem 332
  3. 105 rem 121
  4. 952 rem 598
  5. 402 rem 402
  6. 198 rem 47
  7. 854 rem 14
  8. 742 rem 184
  9. 797 rem 966
  10. 974 rem 73
  11. 998 rem 345
  12. 278 rem 934
  13. 567 rem 776
  14. 302 rem 9
  15. 415 rem 62
  16. 99 rem 54
  17. 632 rem 0
  18. 567 rem 416
  19. 588 rem 42
  20. 585 rem 529
  21. 828 rem 56
  22. 694 rem 5
  23. 251 rem 57
  24. 1006 rem 44
  25. 764 rem 96
  26. 126 rem 34
  27. 241 rem 80
  28. 942 rem 52
  29. 460 rem 900
  30. 667 rem 923
  31. 912 rem 29
  32. 511 rem 3
  33. 952 rem 936
  34. 58 rem 80
  35. 843 rem 6
  36. 630 rem 92
  37. 410 rem 23
  38. 736 rem 38
  39. 728 rem 184
  40. 301 rem 2

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