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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 251 · 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. 1.75258 ÷ 88 =
  2. 2.90035 ÷ 88 =
  3. 3.26154 ÷ 88 =
  4. 4.777592 ÷ 897 =
  5. 5.89968 ÷ 988 =
  6. 6.816605 ÷ 989 =
  7. 7.38076 ÷ 97 =
  8. 8.867444 ÷ 997 =
  9. 9.26794 ÷ 98 =
  10. 10.130130 ÷ 897 =
  11. 11.697 ÷ 8 =
  12. 12.333789 ÷ 897 =
  13. 13.895275 ÷ 997 =
  14. 14.63646 ÷ 98 =
  15. 15.43957 ÷ 98 =
  16. 16.448795 ÷ 989 =
  17. 17.9961 ÷ 8 =
  18. 18.190683 ÷ 998 =
  19. 19.557383 ÷ 897 =
  20. 20.190374 ÷ 897 =
  21. 21.8592 ÷ 8 =
  22. 22.3762 ÷ 8 =
  23. 23.79746 ÷ 98 =
  24. 24.643109 ÷ 988 =
  25. 25.82560 ÷ 89 =
  26. 26.37274 ÷ 89 =
  27. 27.52433 ÷ 98 =
  28. 28.598435 ÷ 997 =
  29. 29.9374 ÷ 8 =
  30. 30.97982 ÷ 998 =
  31. 31.95022 ÷ 89 =
  32. 32.34017 ÷ 96 =
  33. 33.155682 ÷ 998 =
  34. 34.71911 ÷ 989 =
  35. 35.94590 ÷ 96 =
  36. 36.29884 ÷ 897 =
  37. 37.71808 ÷ 97 =
  38. 38.49415 ÷ 97 =
  39. 39.6493 ÷ 8 =
  40. 40.39106 ÷ 88 =

Answer key

  1. 855 rem 18
  2. 1023 rem 11
  3. 297 rem 18
  4. 866 rem 790
  5. 91 rem 60
  6. 825 rem 680
  7. 392 rem 52
  8. 870 rem 54
  9. 273 rem 40
  10. 145 rem 65
  11. 87 rem 1
  12. 372 rem 105
  13. 897 rem 966
  14. 649 rem 44
  15. 448 rem 53
  16. 453 rem 778
  17. 1245 rem 1
  18. 191 rem 65
  19. 621 rem 346
  20. 212 rem 210
  21. 1074 rem 0
  22. 470 rem 2
  23. 813 rem 72
  24. 650 rem 909
  25. 927 rem 57
  26. 418 rem 72
  27. 535 rem 3
  28. 600 rem 235
  29. 1171 rem 6
  30. 98 rem 178
  31. 1067 rem 59
  32. 354 rem 33
  33. 155 rem 992
  34. 72 rem 703
  35. 985 rem 30
  36. 33 rem 283
  37. 740 rem 28
  38. 509 rem 42
  39. 811 rem 5
  40. 444 rem 34

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