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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 564 · 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. 1.58819 ÷ 89 =
  2. 2.774009 ÷ 897 =
  3. 3.815467 ÷ 897 =
  4. 4.146167 ÷ 989 =
  5. 5.24742 ÷ 88 =
  6. 6.911501 ÷ 998 =
  7. 7.2857 ÷ 98 =
  8. 8.90558 ÷ 89 =
  9. 9.57589 ÷ 98 =
  10. 10.78396 ÷ 98 =
  11. 11.4571 ÷ 8 =
  12. 12.85039 ÷ 97 =
  13. 13.73765 ÷ 97 =
  14. 14.98662 ÷ 98 =
  15. 15.471903 ÷ 998 =
  16. 16.73309 ÷ 98 =
  17. 17.16756 ÷ 97 =
  18. 18.81888 ÷ 96 =
  19. 19.65689 ÷ 96 =
  20. 20.809 ÷ 8 =
  21. 21.740 ÷ 8 =
  22. 22.801815 ÷ 997 =
  23. 23.71533 ÷ 897 =
  24. 24.417407 ÷ 998 =
  25. 25.23024 ÷ 97 =
  26. 26.2279 ÷ 98 =
  27. 27.63314 ÷ 88 =
  28. 28.1291 ÷ 97 =
  29. 29.75048 ÷ 89 =
  30. 30.41527 ÷ 88 =
  31. 31.62885 ÷ 98 =
  32. 32.3701 ÷ 96 =
  33. 33.29841 ÷ 89 =
  34. 34.94204 ÷ 88 =
  35. 35.661869 ÷ 989 =
  36. 36.32487 ÷ 96 =
  37. 37.10679 ÷ 989 =
  38. 38.158190 ÷ 897 =
  39. 39.406096 ÷ 998 =
  40. 40.4591 ÷ 96 =

Answer key

  1. 660 rem 79
  2. 862 rem 795
  3. 909 rem 94
  4. 147 rem 784
  5. 281 rem 14
  6. 913 rem 327
  7. 29 rem 15
  8. 1017 rem 45
  9. 587 rem 63
  10. 799 rem 94
  11. 571 rem 3
  12. 876 rem 67
  13. 760 rem 45
  14. 1006 rem 74
  15. 472 rem 847
  16. 748 rem 5
  17. 172 rem 72
  18. 853 rem 0
  19. 684 rem 25
  20. 101 rem 1
  21. 92 rem 4
  22. 804 rem 227
  23. 79 rem 670
  24. 418 rem 243
  25. 237 rem 35
  26. 23 rem 25
  27. 719 rem 42
  28. 13 rem 30
  29. 843 rem 21
  30. 471 rem 79
  31. 641 rem 67
  32. 38 rem 53
  33. 335 rem 26
  34. 1070 rem 44
  35. 669 rem 228
  36. 338 rem 39
  37. 10 rem 789
  38. 176 rem 318
  39. 406 rem 908
  40. 47 rem 79

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