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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 858 · 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. 1.36018 ÷ 897 =
  2. 2.841941 ÷ 997 =
  3. 3.96025 ÷ 96 =
  4. 4.964227 ÷ 897 =
  5. 5.77287 ÷ 89 =
  6. 6.687774 ÷ 997 =
  7. 7.51165 ÷ 98 =
  8. 8.9641 ÷ 8 =
  9. 9.24910 ÷ 88 =
  10. 10.22169 ÷ 96 =
  11. 11.438377 ÷ 989 =
  12. 12.97518 ÷ 98 =
  13. 13.828 ÷ 8 =
  14. 14.902795 ÷ 997 =
  15. 15.966977 ÷ 997 =
  16. 16.257300 ÷ 997 =
  17. 17.5415 ÷ 8 =
  18. 18.11519 ÷ 88 =
  19. 19.100590 ÷ 897 =
  20. 20.28496 ÷ 98 =
  21. 21.892891 ÷ 998 =
  22. 22.491491 ÷ 997 =
  23. 23.36668 ÷ 989 =
  24. 24.55936 ÷ 88 =
  25. 25.772549 ÷ 998 =
  26. 26.565977 ÷ 998 =
  27. 27.357399 ÷ 989 =
  28. 28.42479 ÷ 97 =
  29. 29.5909 ÷ 8 =
  30. 30.8840 ÷ 8 =
  31. 31.133725 ÷ 998 =
  32. 32.19204 ÷ 98 =
  33. 33.83595 ÷ 89 =
  34. 34.92227 ÷ 96 =
  35. 35.453169 ÷ 989 =
  36. 36.25360 ÷ 97 =
  37. 37.34775 ÷ 998 =
  38. 38.37981 ÷ 997 =
  39. 39.94071 ÷ 98 =
  40. 40.307270 ÷ 897 =

Answer key

  1. 40 rem 138
  2. 844 rem 473
  3. 1000 rem 25
  4. 1074 rem 849
  5. 868 rem 35
  6. 689 rem 841
  7. 522 rem 9
  8. 1205 rem 1
  9. 283 rem 6
  10. 230 rem 89
  11. 443 rem 250
  12. 995 rem 8
  13. 103 rem 4
  14. 905 rem 510
  15. 969 rem 884
  16. 258 rem 74
  17. 676 rem 7
  18. 130 rem 79
  19. 112 rem 126
  20. 290 rem 76
  21. 894 rem 679
  22. 492 rem 967
  23. 37 rem 75
  24. 635 rem 56
  25. 774 rem 97
  26. 567 rem 111
  27. 361 rem 370
  28. 437 rem 90
  29. 738 rem 5
  30. 1105 rem 0
  31. 133 rem 991
  32. 195 rem 94
  33. 939 rem 24
  34. 960 rem 67
  35. 458 rem 207
  36. 261 rem 43
  37. 34 rem 843
  38. 38 rem 95
  39. 959 rem 89
  40. 342 rem 496

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