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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 168 · 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. 1.97116 ÷ 97 =
  2. 2.22289 ÷ 89 =
  3. 3.859234 ÷ 897 =
  4. 4.499154 ÷ 998 =
  5. 5.330839 ÷ 897 =
  6. 6.7170 ÷ 88 =
  7. 7.565143 ÷ 998 =
  8. 8.279915 ÷ 989 =
  9. 9.60016 ÷ 89 =
  10. 10.23783 ÷ 89 =
  11. 11.2837 ÷ 8 =
  12. 12.17441 ÷ 97 =
  13. 13.51828 ÷ 89 =
  14. 14.222204 ÷ 989 =
  15. 15.37060 ÷ 97 =
  16. 16.203869 ÷ 988 =
  17. 17.776585 ÷ 997 =
  18. 18.57667 ÷ 88 =
  19. 19.592136 ÷ 997 =
  20. 20.748487 ÷ 998 =
  21. 21.75312 ÷ 97 =
  22. 22.822681 ÷ 897 =
  23. 23.144385 ÷ 897 =
  24. 24.84758 ÷ 97 =
  25. 25.16331 ÷ 98 =
  26. 26.94977 ÷ 88 =
  27. 27.73845 ÷ 98 =
  28. 28.890558 ÷ 998 =
  29. 29.656 ÷ 8 =
  30. 30.334944 ÷ 988 =
  31. 31.91658 ÷ 89 =
  32. 32.761191 ÷ 989 =
  33. 33.69911 ÷ 88 =
  34. 34.83735 ÷ 88 =
  35. 35.976699 ÷ 998 =
  36. 36.782196 ÷ 998 =
  37. 37.291724 ÷ 998 =
  38. 38.103312 ÷ 989 =
  39. 39.4850 ÷ 8 =
  40. 40.29799 ÷ 989 =

Answer key

  1. 1001 rem 19
  2. 250 rem 39
  3. 957 rem 805
  4. 500 rem 154
  5. 368 rem 743
  6. 81 rem 42
  7. 566 rem 275
  8. 283 rem 28
  9. 674 rem 30
  10. 267 rem 20
  11. 354 rem 5
  12. 179 rem 78
  13. 582 rem 30
  14. 224 rem 668
  15. 382 rem 6
  16. 206 rem 341
  17. 778 rem 919
  18. 655 rem 27
  19. 593 rem 915
  20. 749 rem 985
  21. 776 rem 40
  22. 917 rem 132
  23. 160 rem 865
  24. 873 rem 77
  25. 166 rem 63
  26. 1079 rem 25
  27. 753 rem 51
  28. 892 rem 342
  29. 82 rem 0
  30. 339 rem 12
  31. 1029 rem 77
  32. 769 rem 650
  33. 794 rem 39
  34. 951 rem 47
  35. 978 rem 655
  36. 783 rem 762
  37. 292 rem 308
  38. 104 rem 456
  39. 606 rem 2
  40. 30 rem 129

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