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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 689 · 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. 1.31618 ÷ 98 =
  2. 2.58814 ÷ 88 =
  3. 3.734812 ÷ 988 =
  4. 4.40354 ÷ 88 =
  5. 5.6182 ÷ 8 =
  6. 6.1007 ÷ 8 =
  7. 7.6193 ÷ 88 =
  8. 8.16575 ÷ 989 =
  9. 9.47641 ÷ 88 =
  10. 10.4732 ÷ 8 =
  11. 11.31833 ÷ 88 =
  12. 12.19150 ÷ 97 =
  13. 13.392406 ÷ 989 =
  14. 14.815 ÷ 8 =
  15. 15.306948 ÷ 997 =
  16. 16.980070 ÷ 989 =
  17. 17.1900 ÷ 8 =
  18. 18.70646 ÷ 89 =
  19. 19.45056 ÷ 97 =
  20. 20.4076 ÷ 8 =
  21. 21.549755 ÷ 998 =
  22. 22.75433 ÷ 88 =
  23. 23.6321 ÷ 8 =
  24. 24.882361 ÷ 998 =
  25. 25.93380 ÷ 89 =
  26. 26.676599 ÷ 897 =
  27. 27.687730 ÷ 989 =
  28. 28.84072 ÷ 96 =
  29. 29.238955 ÷ 897 =
  30. 30.11534 ÷ 89 =
  31. 31.4358 ÷ 89 =
  32. 32.74825 ÷ 998 =
  33. 33.10418 ÷ 89 =
  34. 34.860847 ÷ 998 =
  35. 35.508411 ÷ 998 =
  36. 36.8572 ÷ 97 =
  37. 37.519344 ÷ 998 =
  38. 38.57766 ÷ 89 =
  39. 39.58789 ÷ 89 =
  40. 40.87262 ÷ 89 =

Answer key

  1. 322 rem 62
  2. 668 rem 30
  3. 743 rem 728
  4. 458 rem 50
  5. 772 rem 6
  6. 125 rem 7
  7. 70 rem 33
  8. 16 rem 751
  9. 541 rem 33
  10. 591 rem 4
  11. 361 rem 65
  12. 197 rem 41
  13. 396 rem 762
  14. 101 rem 7
  15. 307 rem 869
  16. 990 rem 960
  17. 237 rem 4
  18. 793 rem 69
  19. 464 rem 48
  20. 509 rem 4
  21. 550 rem 855
  22. 857 rem 17
  23. 790 rem 1
  24. 884 rem 129
  25. 1049 rem 19
  26. 754 rem 261
  27. 695 rem 375
  28. 875 rem 72
  29. 266 rem 353
  30. 129 rem 53
  31. 48 rem 86
  32. 74 rem 973
  33. 117 rem 5
  34. 862 rem 571
  35. 509 rem 429
  36. 88 rem 36
  37. 520 rem 384
  38. 649 rem 5
  39. 660 rem 49
  40. 980 rem 42

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