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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 649 · 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. 1.242175 ÷ 988 =
  2. 2.936614 ÷ 998 =
  3. 3.88641 ÷ 988 =
  4. 4.58063 ÷ 96 =
  5. 5.3523 ÷ 8 =
  6. 6.80972 ÷ 98 =
  7. 7.945505 ÷ 897 =
  8. 8.54759 ÷ 89 =
  9. 9.973823 ÷ 989 =
  10. 10.51604 ÷ 96 =
  11. 11.64785 ÷ 97 =
  12. 12.883773 ÷ 988 =
  13. 13.55742 ÷ 98 =
  14. 14.457603 ÷ 988 =
  15. 15.7063 ÷ 8 =
  16. 16.484257 ÷ 997 =
  17. 17.19877 ÷ 97 =
  18. 18.8096 ÷ 8 =
  19. 19.58811 ÷ 97 =
  20. 20.21568 ÷ 997 =
  21. 21.5080 ÷ 97 =
  22. 22.205780 ÷ 997 =
  23. 23.87112 ÷ 98 =
  24. 24.626722 ÷ 989 =
  25. 25.91020 ÷ 88 =
  26. 26.8669 ÷ 8 =
  27. 27.30782 ÷ 98 =
  28. 28.395796 ÷ 897 =
  29. 29.78515 ÷ 96 =
  30. 30.78185 ÷ 897 =
  31. 31.313872 ÷ 997 =
  32. 32.162149 ÷ 989 =
  33. 33.79638 ÷ 89 =
  34. 34.642367 ÷ 998 =
  35. 35.39788 ÷ 96 =
  36. 36.194563 ÷ 897 =
  37. 37.4780 ÷ 8 =
  38. 38.76073 ÷ 96 =
  39. 39.33669 ÷ 89 =
  40. 40.31668 ÷ 89 =

Answer key

  1. 245 rem 115
  2. 938 rem 490
  3. 89 rem 709
  4. 604 rem 79
  5. 440 rem 3
  6. 826 rem 24
  7. 1054 rem 67
  8. 615 rem 24
  9. 984 rem 647
  10. 537 rem 52
  11. 667 rem 86
  12. 894 rem 501
  13. 568 rem 78
  14. 463 rem 159
  15. 882 rem 7
  16. 485 rem 712
  17. 204 rem 89
  18. 1012 rem 0
  19. 606 rem 29
  20. 21 rem 631
  21. 52 rem 36
  22. 206 rem 398
  23. 888 rem 88
  24. 633 rem 685
  25. 1034 rem 28
  26. 1083 rem 5
  27. 314 rem 10
  28. 441 rem 219
  29. 817 rem 83
  30. 87 rem 146
  31. 314 rem 814
  32. 163 rem 942
  33. 894 rem 72
  34. 643 rem 653
  35. 414 rem 44
  36. 216 rem 811
  37. 597 rem 4
  38. 792 rem 41
  39. 378 rem 27
  40. 355 rem 73

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