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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 27 · 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. 1.58009 ÷ 97 =
  2. 2.405430 ÷ 998 =
  3. 3.88920 ÷ 96 =
  4. 4.6394 ÷ 98 =
  5. 5.665014 ÷ 997 =
  6. 6.72613 ÷ 98 =
  7. 7.3277 ÷ 8 =
  8. 8.945378 ÷ 897 =
  9. 9.608093 ÷ 998 =
  10. 10.90345 ÷ 96 =
  11. 11.338310 ÷ 989 =
  12. 12.220722 ÷ 998 =
  13. 13.92772 ÷ 96 =
  14. 14.227927 ÷ 998 =
  15. 15.132345 ÷ 998 =
  16. 16.662055 ÷ 998 =
  17. 17.76428 ÷ 96 =
  18. 18.12223 ÷ 88 =
  19. 19.221717 ÷ 988 =
  20. 20.71113 ÷ 97 =
  21. 21.65257 ÷ 97 =
  22. 22.91743 ÷ 997 =
  23. 23.247901 ÷ 897 =
  24. 24.596164 ÷ 997 =
  25. 25.502799 ÷ 897 =
  26. 26.470545 ÷ 997 =
  27. 27.63753 ÷ 88 =
  28. 28.397675 ÷ 998 =
  29. 29.313061 ÷ 998 =
  30. 30.961724 ÷ 897 =
  31. 31.13390 ÷ 96 =
  32. 32.47296 ÷ 96 =
  33. 33.458790 ÷ 998 =
  34. 34.521586 ÷ 897 =
  35. 35.32011 ÷ 97 =
  36. 36.88725 ÷ 97 =
  37. 37.3390 ÷ 88 =
  38. 38.70018 ÷ 989 =
  39. 39.99856 ÷ 97 =
  40. 40.8853 ÷ 98 =

Answer key

  1. 598 rem 3
  2. 406 rem 242
  3. 926 rem 24
  4. 65 rem 24
  5. 667 rem 15
  6. 740 rem 93
  7. 409 rem 5
  8. 1053 rem 837
  9. 609 rem 311
  10. 941 rem 9
  11. 342 rem 72
  12. 221 rem 164
  13. 966 rem 36
  14. 228 rem 383
  15. 132 rem 609
  16. 663 rem 381
  17. 796 rem 12
  18. 138 rem 79
  19. 224 rem 405
  20. 733 rem 12
  21. 672 rem 73
  22. 92 rem 19
  23. 276 rem 329
  24. 597 rem 955
  25. 560 rem 479
  26. 471 rem 958
  27. 724 rem 41
  28. 398 rem 471
  29. 313 rem 687
  30. 1072 rem 140
  31. 139 rem 46
  32. 492 rem 64
  33. 459 rem 708
  34. 581 rem 429
  35. 330 rem 1
  36. 914 rem 67
  37. 38 rem 46
  38. 70 rem 788
  39. 1029 rem 43
  40. 90 rem 33

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