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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 304 · 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. 1.34722 ÷ 96 =
  2. 2.948665 ÷ 989 =
  3. 3.39648 ÷ 96 =
  4. 4.18403 ÷ 97 =
  5. 5.43777 ÷ 89 =
  6. 6.627844 ÷ 997 =
  7. 7.807892 ÷ 997 =
  8. 8.65956 ÷ 88 =
  9. 9.678398 ÷ 998 =
  10. 10.310859 ÷ 998 =
  11. 11.56530 ÷ 89 =
  12. 12.570903 ÷ 988 =
  13. 13.20244 ÷ 88 =
  14. 14.70392 ÷ 98 =
  15. 15.8051 ÷ 8 =
  16. 16.987798 ÷ 997 =
  17. 17.285526 ÷ 997 =
  18. 18.6245 ÷ 8 =
  19. 19.10475 ÷ 96 =
  20. 20.13575 ÷ 997 =
  21. 21.141770 ÷ 897 =
  22. 22.15004 ÷ 97 =
  23. 23.636837 ÷ 997 =
  24. 24.76466 ÷ 97 =
  25. 25.88038 ÷ 98 =
  26. 26.546423 ÷ 988 =
  27. 27.6912 ÷ 8 =
  28. 28.605991 ÷ 998 =
  29. 29.7001 ÷ 88 =
  30. 30.66173 ÷ 897 =
  31. 31.261638 ÷ 997 =
  32. 32.63354 ÷ 89 =
  33. 33.1971 ÷ 98 =
  34. 34.943443 ÷ 997 =
  35. 35.5390 ÷ 8 =
  36. 36.11828 ÷ 88 =
  37. 37.845696 ÷ 989 =
  38. 38.7230 ÷ 97 =
  39. 39.45267 ÷ 98 =
  40. 40.64049 ÷ 88 =

Answer key

  1. 361 rem 66
  2. 959 rem 214
  3. 413 rem 0
  4. 189 rem 70
  5. 491 rem 78
  6. 629 rem 731
  7. 810 rem 322
  8. 749 rem 44
  9. 679 rem 756
  10. 311 rem 481
  11. 635 rem 15
  12. 577 rem 827
  13. 230 rem 4
  14. 718 rem 28
  15. 1006 rem 3
  16. 990 rem 768
  17. 286 rem 384
  18. 780 rem 5
  19. 109 rem 11
  20. 13 rem 614
  21. 158 rem 44
  22. 154 rem 66
  23. 638 rem 751
  24. 788 rem 30
  25. 898 rem 34
  26. 553 rem 59
  27. 864 rem 0
  28. 607 rem 205
  29. 79 rem 49
  30. 73 rem 692
  31. 262 rem 424
  32. 711 rem 75
  33. 20 rem 11
  34. 946 rem 281
  35. 673 rem 6
  36. 134 rem 36
  37. 855 rem 101
  38. 74 rem 52
  39. 461 rem 89
  40. 727 rem 73

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