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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 764 · 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. 1.336530 ÷ 988 =
  2. 2.61156 ÷ 88 =
  3. 3.10265 ÷ 997 =
  4. 4.867093 ÷ 897 =
  5. 5.259633 ÷ 989 =
  6. 6.795 ÷ 8 =
  7. 7.227769 ÷ 998 =
  8. 8.96927 ÷ 98 =
  9. 9.80584 ÷ 89 =
  10. 10.64855 ÷ 98 =
  11. 11.53087 ÷ 88 =
  12. 12.12500 ÷ 97 =
  13. 13.182480 ÷ 897 =
  14. 14.5387 ÷ 8 =
  15. 15.32523 ÷ 97 =
  16. 16.86394 ÷ 96 =
  17. 17.376795 ÷ 988 =
  18. 18.63861 ÷ 89 =
  19. 19.44843 ÷ 88 =
  20. 20.578828 ÷ 897 =
  21. 21.12232 ÷ 988 =
  22. 22.400653 ÷ 998 =
  23. 23.29136 ÷ 88 =
  24. 24.203591 ÷ 989 =
  25. 25.26193 ÷ 89 =
  26. 26.476273 ÷ 997 =
  27. 27.5715 ÷ 8 =
  28. 28.895406 ÷ 897 =
  29. 29.9972 ÷ 97 =
  30. 30.748672 ÷ 998 =
  31. 31.887706 ÷ 988 =
  32. 32.41443 ÷ 88 =
  33. 33.434642 ÷ 998 =
  34. 34.429881 ÷ 998 =
  35. 35.2365 ÷ 8 =
  36. 36.341747 ÷ 897 =
  37. 37.963984 ÷ 989 =
  38. 38.9218 ÷ 8 =
  39. 39.47693 ÷ 98 =
  40. 40.957156 ÷ 989 =

Answer key

  1. 340 rem 610
  2. 694 rem 84
  3. 10 rem 295
  4. 966 rem 591
  5. 262 rem 515
  6. 99 rem 3
  7. 228 rem 225
  8. 989 rem 5
  9. 905 rem 39
  10. 661 rem 77
  11. 603 rem 23
  12. 128 rem 84
  13. 203 rem 389
  14. 673 rem 3
  15. 335 rem 28
  16. 899 rem 90
  17. 381 rem 367
  18. 717 rem 48
  19. 509 rem 51
  20. 645 rem 263
  21. 12 rem 376
  22. 401 rem 455
  23. 331 rem 8
  24. 205 rem 846
  25. 294 rem 27
  26. 477 rem 704
  27. 714 rem 3
  28. 998 rem 200
  29. 102 rem 78
  30. 750 rem 172
  31. 898 rem 482
  32. 470 rem 83
  33. 435 rem 512
  34. 430 rem 741
  35. 295 rem 5
  36. 380 rem 887
  37. 974 rem 698
  38. 1152 rem 2
  39. 486 rem 65
  40. 967 rem 793

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