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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 537 · 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. 1.46237 ÷ 997 =
  2. 2.5589 ÷ 8 =
  3. 3.5866 ÷ 8 =
  4. 4.901167 ÷ 897 =
  5. 5.369933 ÷ 997 =
  6. 6.57107 ÷ 97 =
  7. 7.237931 ÷ 997 =
  8. 8.6296 ÷ 8 =
  9. 9.85166 ÷ 97 =
  10. 10.28816 ÷ 98 =
  11. 11.11857 ÷ 98 =
  12. 12.49194 ÷ 96 =
  13. 13.12452 ÷ 89 =
  14. 14.245126 ÷ 997 =
  15. 15.15009 ÷ 96 =
  16. 16.87869 ÷ 96 =
  17. 17.40780 ÷ 96 =
  18. 18.94702 ÷ 96 =
  19. 19.63505 ÷ 88 =
  20. 20.978345 ÷ 998 =
  21. 21.52145 ÷ 89 =
  22. 22.30365 ÷ 989 =
  23. 23.45839 ÷ 88 =
  24. 24.8153 ÷ 8 =
  25. 25.58238 ÷ 88 =
  26. 26.52372 ÷ 98 =
  27. 27.912303 ÷ 988 =
  28. 28.3628 ÷ 88 =
  29. 29.3252 ÷ 8 =
  30. 30.597684 ÷ 989 =
  31. 31.617193 ÷ 897 =
  32. 32.15602 ÷ 88 =
  33. 33.893345 ÷ 997 =
  34. 34.31928 ÷ 97 =
  35. 35.186999 ÷ 998 =
  36. 36.81017 ÷ 96 =
  37. 37.131619 ÷ 989 =
  38. 38.63272 ÷ 96 =
  39. 39.69304 ÷ 89 =
  40. 40.204084 ÷ 997 =

Answer key

  1. 46 rem 375
  2. 698 rem 5
  3. 733 rem 2
  4. 1004 rem 579
  5. 371 rem 46
  6. 588 rem 71
  7. 238 rem 645
  8. 787 rem 0
  9. 878 rem 0
  10. 294 rem 4
  11. 120 rem 97
  12. 512 rem 42
  13. 139 rem 81
  14. 245 rem 861
  15. 156 rem 33
  16. 915 rem 29
  17. 424 rem 76
  18. 986 rem 46
  19. 721 rem 57
  20. 980 rem 305
  21. 585 rem 80
  22. 30 rem 695
  23. 520 rem 79
  24. 1019 rem 1
  25. 661 rem 70
  26. 534 rem 40
  27. 923 rem 379
  28. 41 rem 20
  29. 406 rem 4
  30. 604 rem 328
  31. 688 rem 57
  32. 177 rem 26
  33. 896 rem 33
  34. 329 rem 15
  35. 187 rem 373
  36. 843 rem 89
  37. 133 rem 82
  38. 659 rem 8
  39. 778 rem 62
  40. 204 rem 696

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