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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 507 · 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. 1.50546 ÷ 98 =
  2. 2.877795 ÷ 989 =
  3. 3.643743 ÷ 997 =
  4. 4.243008 ÷ 897 =
  5. 5.428289 ÷ 997 =
  6. 6.53025 ÷ 98 =
  7. 7.17471 ÷ 88 =
  8. 8.39841 ÷ 97 =
  9. 9.442365 ÷ 998 =
  10. 10.52611 ÷ 97 =
  11. 11.6571 ÷ 8 =
  12. 12.93566 ÷ 89 =
  13. 13.9987 ÷ 8 =
  14. 14.750277 ÷ 988 =
  15. 15.898824 ÷ 989 =
  16. 16.787488 ÷ 988 =
  17. 17.66652 ÷ 89 =
  18. 18.84904 ÷ 96 =
  19. 19.81165 ÷ 96 =
  20. 20.29549 ÷ 97 =
  21. 21.10609 ÷ 96 =
  22. 22.612299 ÷ 998 =
  23. 23.83490 ÷ 98 =
  24. 24.82010 ÷ 96 =
  25. 25.63765 ÷ 98 =
  26. 26.1968 ÷ 8 =
  27. 27.167349 ÷ 988 =
  28. 28.80440 ÷ 98 =
  29. 29.660233 ÷ 997 =
  30. 30.1708 ÷ 8 =
  31. 31.90930 ÷ 97 =
  32. 32.268 ÷ 8 =
  33. 33.294412 ÷ 998 =
  34. 34.523154 ÷ 988 =
  35. 35.6656 ÷ 98 =
  36. 36.254885 ÷ 998 =
  37. 37.367670 ÷ 997 =
  38. 38.690783 ÷ 989 =
  39. 39.944630 ÷ 897 =
  40. 40.988869 ÷ 988 =

Answer key

  1. 515 rem 76
  2. 887 rem 552
  3. 645 rem 678
  4. 270 rem 818
  5. 429 rem 576
  6. 541 rem 7
  7. 198 rem 47
  8. 410 rem 71
  9. 443 rem 251
  10. 542 rem 37
  11. 821 rem 3
  12. 1051 rem 27
  13. 1248 rem 3
  14. 759 rem 385
  15. 908 rem 812
  16. 797 rem 52
  17. 748 rem 80
  18. 884 rem 40
  19. 845 rem 45
  20. 304 rem 61
  21. 110 rem 49
  22. 613 rem 525
  23. 851 rem 92
  24. 854 rem 26
  25. 650 rem 65
  26. 246 rem 0
  27. 169 rem 377
  28. 820 rem 80
  29. 662 rem 219
  30. 213 rem 4
  31. 937 rem 41
  32. 33 rem 4
  33. 295 rem 2
  34. 529 rem 502
  35. 67 rem 90
  36. 255 rem 395
  37. 368 rem 774
  38. 698 rem 461
  39. 1053 rem 89
  40. 1000 rem 869

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