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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 906 · 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. 1.182230 ÷ 997 =
  2. 2.983449 ÷ 998 =
  3. 3.79366 ÷ 96 =
  4. 4.9074 ÷ 8 =
  5. 5.92710 ÷ 89 =
  6. 6.66976 ÷ 998 =
  7. 7.18362 ÷ 897 =
  8. 8.4929 ÷ 8 =
  9. 9.978929 ÷ 988 =
  10. 10.31866 ÷ 88 =
  11. 11.37077 ÷ 97 =
  12. 12.872887 ÷ 897 =
  13. 13.813434 ÷ 998 =
  14. 14.36483 ÷ 96 =
  15. 15.70942 ÷ 96 =
  16. 16.872595 ÷ 998 =
  17. 17.884522 ÷ 897 =
  18. 18.868565 ÷ 997 =
  19. 19.138120 ÷ 989 =
  20. 20.87761 ÷ 98 =
  21. 21.40403 ÷ 98 =
  22. 22.26399 ÷ 88 =
  23. 23.688415 ÷ 998 =
  24. 24.98410 ÷ 96 =
  25. 25.632296 ÷ 897 =
  26. 26.706352 ÷ 998 =
  27. 27.38138 ÷ 89 =
  28. 28.353097 ÷ 997 =
  29. 29.1720 ÷ 98 =
  30. 30.37908 ÷ 89 =
  31. 31.592004 ÷ 897 =
  32. 32.82555 ÷ 98 =
  33. 33.48492 ÷ 97 =
  34. 34.8210 ÷ 8 =
  35. 35.246099 ÷ 989 =
  36. 36.83204 ÷ 88 =
  37. 37.11495 ÷ 89 =
  38. 38.597376 ÷ 989 =
  39. 39.87830 ÷ 88 =
  40. 40.25872 ÷ 88 =

Answer key

  1. 182 rem 776
  2. 985 rem 419
  3. 826 rem 70
  4. 1134 rem 2
  5. 1041 rem 61
  6. 67 rem 110
  7. 20 rem 422
  8. 616 rem 1
  9. 990 rem 809
  10. 362 rem 10
  11. 382 rem 23
  12. 973 rem 106
  13. 815 rem 64
  14. 380 rem 3
  15. 738 rem 94
  16. 874 rem 343
  17. 986 rem 80
  18. 871 rem 178
  19. 139 rem 649
  20. 895 rem 51
  21. 412 rem 27
  22. 299 rem 87
  23. 689 rem 793
  24. 1025 rem 10
  25. 704 rem 808
  26. 707 rem 766
  27. 428 rem 46
  28. 354 rem 159
  29. 17 rem 54
  30. 425 rem 83
  31. 659 rem 881
  32. 842 rem 39
  33. 499 rem 89
  34. 1026 rem 2
  35. 248 rem 827
  36. 945 rem 44
  37. 129 rem 14
  38. 604 rem 20
  39. 998 rem 6
  40. 294 rem 0

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