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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 9 · 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. 1.3779 ÷ 98 =
  2. 2.115258 ÷ 989 =
  3. 3.797526 ÷ 997 =
  4. 4.910812 ÷ 997 =
  5. 5.845565 ÷ 988 =
  6. 6.235161 ÷ 997 =
  7. 7.84691 ÷ 96 =
  8. 8.3461 ÷ 8 =
  9. 9.271488 ÷ 997 =
  10. 10.8918 ÷ 8 =
  11. 11.2422 ÷ 8 =
  12. 12.297871 ÷ 989 =
  13. 13.687710 ÷ 998 =
  14. 14.33676 ÷ 989 =
  15. 15.595273 ÷ 988 =
  16. 16.2101 ÷ 8 =
  17. 17.7886 ÷ 8 =
  18. 18.66169 ÷ 88 =
  19. 19.704959 ÷ 997 =
  20. 20.18502 ÷ 89 =
  21. 21.73130 ÷ 97 =
  22. 22.125077 ÷ 897 =
  23. 23.21039 ÷ 97 =
  24. 24.11426 ÷ 97 =
  25. 25.31544 ÷ 89 =
  26. 26.568123 ÷ 998 =
  27. 27.90974 ÷ 998 =
  28. 28.62631 ÷ 96 =
  29. 29.251371 ÷ 988 =
  30. 30.744124 ÷ 897 =
  31. 31.70203 ÷ 88 =
  32. 32.68867 ÷ 88 =
  33. 33.31504 ÷ 97 =
  34. 34.183340 ÷ 998 =
  35. 35.27190 ÷ 97 =
  36. 36.11709 ÷ 98 =
  37. 37.486984 ÷ 998 =
  38. 38.966166 ÷ 998 =
  39. 39.158681 ÷ 998 =
  40. 40.52963 ÷ 88 =

Answer key

  1. 38 rem 55
  2. 116 rem 534
  3. 799 rem 923
  4. 913 rem 551
  5. 855 rem 825
  6. 235 rem 866
  7. 882 rem 19
  8. 432 rem 5
  9. 272 rem 304
  10. 1114 rem 6
  11. 302 rem 6
  12. 301 rem 182
  13. 689 rem 88
  14. 34 rem 50
  15. 602 rem 497
  16. 262 rem 5
  17. 985 rem 6
  18. 751 rem 81
  19. 707 rem 80
  20. 207 rem 79
  21. 753 rem 89
  22. 139 rem 394
  23. 216 rem 87
  24. 117 rem 77
  25. 354 rem 38
  26. 569 rem 261
  27. 91 rem 156
  28. 652 rem 39
  29. 254 rem 419
  30. 829 rem 511
  31. 797 rem 67
  32. 782 rem 51
  33. 324 rem 76
  34. 183 rem 706
  35. 280 rem 30
  36. 119 rem 47
  37. 487 rem 958
  38. 968 rem 102
  39. 158 rem 997
  40. 601 rem 75

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