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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 882 · 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. 1.304105 ÷ 897 =
  2. 2.663221 ÷ 897 =
  3. 3.34217 ÷ 98 =
  4. 4.13911 ÷ 98 =
  5. 5.891537 ÷ 998 =
  6. 6.64004 ÷ 98 =
  7. 7.542492 ÷ 989 =
  8. 8.29693 ÷ 89 =
  9. 9.3668 ÷ 8 =
  10. 10.87012 ÷ 97 =
  11. 11.26906 ÷ 98 =
  12. 12.757743 ÷ 998 =
  13. 13.17365 ÷ 897 =
  14. 14.19750 ÷ 997 =
  15. 15.344031 ÷ 989 =
  16. 16.327553 ÷ 897 =
  17. 17.98439 ÷ 98 =
  18. 18.977458 ÷ 998 =
  19. 19.20760 ÷ 98 =
  20. 20.319605 ÷ 988 =
  21. 21.5761 ÷ 97 =
  22. 22.97749 ÷ 98 =
  23. 23.715863 ÷ 998 =
  24. 24.548516 ÷ 988 =
  25. 25.81844 ÷ 96 =
  26. 26.3375 ÷ 8 =
  27. 27.6456 ÷ 88 =
  28. 28.934353 ÷ 897 =
  29. 29.409199 ÷ 998 =
  30. 30.91487 ÷ 89 =
  31. 31.29790 ÷ 97 =
  32. 32.66970 ÷ 96 =
  33. 33.905076 ÷ 997 =
  34. 34.3481 ÷ 88 =
  35. 35.63697 ÷ 88 =
  36. 36.37559 ÷ 96 =
  37. 37.559021 ÷ 997 =
  38. 38.46312 ÷ 97 =
  39. 39.832862 ÷ 989 =
  40. 40.13319 ÷ 89 =

Answer key

  1. 339 rem 22
  2. 739 rem 338
  3. 349 rem 15
  4. 141 rem 93
  5. 893 rem 323
  6. 653 rem 10
  7. 548 rem 520
  8. 333 rem 56
  9. 458 rem 4
  10. 897 rem 3
  11. 274 rem 54
  12. 759 rem 261
  13. 19 rem 322
  14. 19 rem 807
  15. 347 rem 848
  16. 365 rem 148
  17. 1004 rem 47
  18. 979 rem 416
  19. 211 rem 82
  20. 323 rem 481
  21. 59 rem 38
  22. 997 rem 43
  23. 717 rem 297
  24. 555 rem 176
  25. 852 rem 52
  26. 421 rem 7
  27. 73 rem 32
  28. 1041 rem 576
  29. 410 rem 19
  30. 1027 rem 84
  31. 307 rem 11
  32. 697 rem 58
  33. 907 rem 797
  34. 39 rem 49
  35. 723 rem 73
  36. 391 rem 23
  37. 560 rem 701
  38. 477 rem 43
  39. 842 rem 124
  40. 149 rem 58

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