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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 662 · 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. 1.857771 ÷ 988 =
  2. 2.571601 ÷ 897 =
  3. 3.97103 ÷ 989 =
  4. 4.79725 ÷ 96 =
  5. 5.224911 ÷ 988 =
  6. 6.893035 ÷ 897 =
  7. 7.285559 ÷ 988 =
  8. 8.84789 ÷ 96 =
  9. 9.395249 ÷ 998 =
  10. 10.767499 ÷ 897 =
  11. 11.67302 ÷ 97 =
  12. 12.383320 ÷ 998 =
  13. 13.61089 ÷ 998 =
  14. 14.57034 ÷ 98 =
  15. 15.1133 ÷ 8 =
  16. 16.79813 ÷ 97 =
  17. 17.636530 ÷ 998 =
  18. 18.846100 ÷ 897 =
  19. 19.76338 ÷ 88 =
  20. 20.95848 ÷ 96 =
  21. 21.7605 ÷ 96 =
  22. 22.985090 ÷ 989 =
  23. 23.951783 ÷ 998 =
  24. 24.54111 ÷ 88 =
  25. 25.444890 ÷ 997 =
  26. 26.16027 ÷ 96 =
  27. 27.89574 ÷ 88 =
  28. 28.89163 ÷ 97 =
  29. 29.865253 ÷ 998 =
  30. 30.169081 ÷ 988 =
  31. 31.871422 ÷ 997 =
  32. 32.1838 ÷ 8 =
  33. 33.6921 ÷ 8 =
  34. 34.41256 ÷ 98 =
  35. 35.71308 ÷ 98 =
  36. 36.274143 ÷ 998 =
  37. 37.7896 ÷ 8 =
  38. 38.87061 ÷ 88 =
  39. 39.709015 ÷ 989 =
  40. 40.610255 ÷ 998 =

Answer key

  1. 868 rem 187
  2. 637 rem 212
  3. 98 rem 181
  4. 830 rem 45
  5. 227 rem 635
  6. 995 rem 520
  7. 289 rem 27
  8. 883 rem 21
  9. 396 rem 41
  10. 855 rem 564
  11. 693 rem 81
  12. 384 rem 88
  13. 61 rem 211
  14. 581 rem 96
  15. 141 rem 5
  16. 822 rem 79
  17. 637 rem 804
  18. 943 rem 229
  19. 867 rem 42
  20. 998 rem 40
  21. 79 rem 21
  22. 996 rem 46
  23. 953 rem 689
  24. 614 rem 79
  25. 446 rem 228
  26. 166 rem 91
  27. 1017 rem 78
  28. 919 rem 20
  29. 866 rem 985
  30. 171 rem 133
  31. 874 rem 44
  32. 229 rem 6
  33. 865 rem 1
  34. 420 rem 96
  35. 727 rem 62
  36. 274 rem 691
  37. 987 rem 0
  38. 989 rem 29
  39. 716 rem 891
  40. 611 rem 477

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