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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 249 · 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. 1.89823 ÷ 88 =
  2. 2.8211 ÷ 8 =
  3. 3.9979 ÷ 8 =
  4. 4.3030 ÷ 89 =
  5. 5.1678 ÷ 8 =
  6. 6.254989 ÷ 998 =
  7. 7.573168 ÷ 997 =
  8. 8.2052 ÷ 8 =
  9. 9.35450 ÷ 88 =
  10. 10.617376 ÷ 988 =
  11. 11.54843 ÷ 96 =
  12. 12.385870 ÷ 897 =
  13. 13.54554 ÷ 88 =
  14. 14.55956 ÷ 88 =
  15. 15.97960 ÷ 97 =
  16. 16.95643 ÷ 89 =
  17. 17.297204 ÷ 989 =
  18. 18.5109 ÷ 8 =
  19. 19.773654 ÷ 998 =
  20. 20.69409 ÷ 98 =
  21. 21.7540 ÷ 88 =
  22. 22.292720 ÷ 989 =
  23. 23.991040 ÷ 989 =
  24. 24.670632 ÷ 988 =
  25. 25.40624 ÷ 98 =
  26. 26.23472 ÷ 96 =
  27. 27.63103 ÷ 98 =
  28. 28.75422 ÷ 98 =
  29. 29.52601 ÷ 88 =
  30. 30.184633 ÷ 997 =
  31. 31.249232 ÷ 998 =
  32. 32.66597 ÷ 97 =
  33. 33.1779 ÷ 8 =
  34. 34.24201 ÷ 98 =
  35. 35.814693 ÷ 998 =
  36. 36.390235 ÷ 998 =
  37. 37.84297 ÷ 98 =
  38. 38.694410 ÷ 988 =
  39. 39.89996 ÷ 97 =
  40. 40.214983 ÷ 997 =

Answer key

  1. 1020 rem 63
  2. 1026 rem 3
  3. 1247 rem 3
  4. 34 rem 4
  5. 209 rem 6
  6. 255 rem 499
  7. 574 rem 890
  8. 256 rem 4
  9. 402 rem 74
  10. 624 rem 864
  11. 571 rem 27
  12. 430 rem 160
  13. 619 rem 82
  14. 635 rem 76
  15. 1009 rem 87
  16. 1074 rem 57
  17. 300 rem 504
  18. 638 rem 5
  19. 775 rem 204
  20. 708 rem 25
  21. 85 rem 60
  22. 295 rem 965
  23. 1002 rem 62
  24. 678 rem 768
  25. 414 rem 52
  26. 244 rem 48
  27. 643 rem 89
  28. 769 rem 60
  29. 597 rem 65
  30. 185 rem 188
  31. 249 rem 730
  32. 686 rem 55
  33. 222 rem 3
  34. 246 rem 93
  35. 816 rem 325
  36. 391 rem 17
  37. 860 rem 17
  38. 702 rem 834
  39. 927 rem 77
  40. 215 rem 628

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