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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 172 · 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. 1.57829 ÷ 97 =
  2. 2.51394 ÷ 89 =
  3. 3.33764 ÷ 96 =
  4. 4.818878 ÷ 897 =
  5. 5.20612 ÷ 97 =
  6. 6.9178 ÷ 8 =
  7. 7.964357 ÷ 989 =
  8. 8.296411 ÷ 988 =
  9. 9.3734 ÷ 8 =
  10. 10.54246 ÷ 89 =
  11. 11.98680 ÷ 998 =
  12. 12.724394 ÷ 997 =
  13. 13.8792 ÷ 8 =
  14. 14.649382 ÷ 998 =
  15. 15.99619 ÷ 98 =
  16. 16.47982 ÷ 98 =
  17. 17.48409 ÷ 96 =
  18. 18.336585 ÷ 988 =
  19. 19.87963 ÷ 97 =
  20. 20.20039 ÷ 97 =
  21. 21.118908 ÷ 989 =
  22. 22.902 ÷ 8 =
  23. 23.91747 ÷ 89 =
  24. 24.2050 ÷ 8 =
  25. 25.284281 ÷ 988 =
  26. 26.76379 ÷ 96 =
  27. 27.2718 ÷ 8 =
  28. 28.41987 ÷ 88 =
  29. 29.1410 ÷ 8 =
  30. 30.56142 ÷ 989 =
  31. 31.99798 ÷ 89 =
  32. 32.36837 ÷ 89 =
  33. 33.81131 ÷ 89 =
  34. 34.90847 ÷ 98 =
  35. 35.19496 ÷ 97 =
  36. 36.968159 ÷ 997 =
  37. 37.19132 ÷ 96 =
  38. 38.32977 ÷ 89 =
  39. 39.82528 ÷ 89 =
  40. 40.326154 ÷ 989 =

Answer key

  1. 596 rem 17
  2. 577 rem 41
  3. 351 rem 68
  4. 912 rem 814
  5. 212 rem 48
  6. 1147 rem 2
  7. 975 rem 82
  8. 300 rem 11
  9. 466 rem 6
  10. 609 rem 45
  11. 98 rem 876
  12. 726 rem 572
  13. 1099 rem 0
  14. 650 rem 682
  15. 1016 rem 51
  16. 489 rem 60
  17. 504 rem 25
  18. 340 rem 665
  19. 906 rem 81
  20. 206 rem 57
  21. 120 rem 228
  22. 112 rem 6
  23. 1030 rem 77
  24. 256 rem 2
  25. 287 rem 725
  26. 795 rem 59
  27. 339 rem 6
  28. 477 rem 11
  29. 176 rem 2
  30. 56 rem 758
  31. 1121 rem 29
  32. 413 rem 80
  33. 911 rem 52
  34. 927 rem 1
  35. 200 rem 96
  36. 971 rem 72
  37. 199 rem 28
  38. 370 rem 47
  39. 927 rem 25
  40. 329 rem 773

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