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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 217 · 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. 1.64146 ÷ 96 =
  2. 2.85643 ÷ 98 =
  3. 3.78825 ÷ 988 =
  4. 4.89964 ÷ 96 =
  5. 5.4610 ÷ 89 =
  6. 6.993833 ÷ 998 =
  7. 7.222563 ÷ 998 =
  8. 8.50291 ÷ 97 =
  9. 9.16093 ÷ 96 =
  10. 10.55817 ÷ 89 =
  11. 11.114652 ÷ 897 =
  12. 12.887306 ÷ 997 =
  13. 13.7067 ÷ 8 =
  14. 14.829989 ÷ 998 =
  15. 15.87292 ÷ 897 =
  16. 16.894631 ÷ 989 =
  17. 17.69913 ÷ 96 =
  18. 18.899109 ÷ 997 =
  19. 19.92939 ÷ 98 =
  20. 20.2028 ÷ 8 =
  21. 21.60525 ÷ 97 =
  22. 22.66768 ÷ 97 =
  23. 23.581001 ÷ 988 =
  24. 24.447267 ÷ 989 =
  25. 25.67827 ÷ 98 =
  26. 26.946187 ÷ 897 =
  27. 27.11684 ÷ 96 =
  28. 28.25048 ÷ 88 =
  29. 29.67370 ÷ 98 =
  30. 30.92894 ÷ 97 =
  31. 31.642471 ÷ 997 =
  32. 32.621949 ÷ 897 =
  33. 33.72975 ÷ 97 =
  34. 34.51423 ÷ 998 =
  35. 35.51911 ÷ 989 =
  36. 36.8887 ÷ 8 =
  37. 37.728336 ÷ 997 =
  38. 38.397359 ÷ 997 =
  39. 39.673031 ÷ 897 =
  40. 40.87573 ÷ 98 =

Answer key

  1. 668 rem 18
  2. 873 rem 89
  3. 79 rem 773
  4. 937 rem 12
  5. 51 rem 71
  6. 995 rem 823
  7. 223 rem 9
  8. 518 rem 45
  9. 167 rem 61
  10. 627 rem 14
  11. 127 rem 733
  12. 889 rem 973
  13. 883 rem 3
  14. 831 rem 651
  15. 97 rem 283
  16. 904 rem 575
  17. 728 rem 25
  18. 901 rem 812
  19. 948 rem 35
  20. 253 rem 4
  21. 623 rem 94
  22. 688 rem 32
  23. 588 rem 57
  24. 452 rem 239
  25. 692 rem 11
  26. 1054 rem 749
  27. 121 rem 68
  28. 284 rem 56
  29. 687 rem 44
  30. 957 rem 65
  31. 644 rem 403
  32. 693 rem 328
  33. 752 rem 31
  34. 51 rem 525
  35. 52 rem 483
  36. 1110 rem 7
  37. 730 rem 526
  38. 398 rem 553
  39. 750 rem 281
  40. 893 rem 59

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