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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 451 · 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. 1.92773 ÷ 89 =
  2. 2.2834 ÷ 8 =
  3. 3.829219 ÷ 897 =
  4. 4.910259 ÷ 989 =
  5. 5.65182 ÷ 96 =
  6. 6.872 ÷ 8 =
  7. 7.89836 ÷ 96 =
  8. 8.807680 ÷ 988 =
  9. 9.7063 ÷ 8 =
  10. 10.22707 ÷ 88 =
  11. 11.66765 ÷ 96 =
  12. 12.264796 ÷ 988 =
  13. 13.640089 ÷ 998 =
  14. 14.12518 ÷ 97 =
  15. 15.6407 ÷ 97 =
  16. 16.987685 ÷ 988 =
  17. 17.47569 ÷ 96 =
  18. 18.20016 ÷ 98 =
  19. 19.16920 ÷ 89 =
  20. 20.1042 ÷ 8 =
  21. 21.92162 ÷ 897 =
  22. 22.878898 ÷ 989 =
  23. 23.64232 ÷ 96 =
  24. 24.444247 ÷ 897 =
  25. 25.2258 ÷ 89 =
  26. 26.9955 ÷ 89 =
  27. 27.683700 ÷ 897 =
  28. 28.790229 ÷ 998 =
  29. 29.41916 ÷ 97 =
  30. 30.3068 ÷ 8 =
  31. 31.21696 ÷ 96 =
  32. 32.108639 ÷ 998 =
  33. 33.300346 ÷ 897 =
  34. 34.59648 ÷ 997 =
  35. 35.14488 ÷ 88 =
  36. 36.341303 ÷ 988 =
  37. 37.51621 ÷ 97 =
  38. 38.56857 ÷ 89 =
  39. 39.23503 ÷ 98 =
  40. 40.581412 ÷ 997 =

Answer key

  1. 1042 rem 35
  2. 354 rem 2
  3. 924 rem 391
  4. 920 rem 379
  5. 678 rem 94
  6. 109 rem 0
  7. 935 rem 76
  8. 817 rem 484
  9. 882 rem 7
  10. 258 rem 3
  11. 695 rem 45
  12. 268 rem 12
  13. 641 rem 371
  14. 129 rem 5
  15. 66 rem 5
  16. 999 rem 673
  17. 495 rem 49
  18. 204 rem 24
  19. 190 rem 10
  20. 130 rem 2
  21. 102 rem 668
  22. 888 rem 666
  23. 669 rem 8
  24. 495 rem 232
  25. 25 rem 33
  26. 111 rem 76
  27. 762 rem 186
  28. 791 rem 811
  29. 432 rem 12
  30. 383 rem 4
  31. 226 rem 0
  32. 108 rem 855
  33. 334 rem 748
  34. 59 rem 825
  35. 164 rem 56
  36. 345 rem 443
  37. 532 rem 17
  38. 638 rem 75
  39. 239 rem 81
  40. 583 rem 161

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