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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 100 · 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. 1.33575 ÷ 96 =
  2. 2.909957 ÷ 997 =
  3. 3.320674 ÷ 897 =
  4. 4.330638 ÷ 998 =
  5. 5.656058 ÷ 997 =
  6. 6.737149 ÷ 997 =
  7. 7.899860 ÷ 997 =
  8. 8.86083 ÷ 98 =
  9. 9.11405 ÷ 98 =
  10. 10.537749 ÷ 897 =
  11. 11.73716 ÷ 96 =
  12. 12.91368 ÷ 97 =
  13. 13.83782 ÷ 989 =
  14. 14.45322 ÷ 998 =
  15. 15.39694 ÷ 96 =
  16. 16.9871 ÷ 8 =
  17. 17.325968 ÷ 997 =
  18. 18.460463 ÷ 897 =
  19. 19.887112 ÷ 998 =
  20. 20.60543 ÷ 96 =
  21. 21.331488 ÷ 989 =
  22. 22.725721 ÷ 988 =
  23. 23.388727 ÷ 988 =
  24. 24.86777 ÷ 88 =
  25. 25.40971 ÷ 88 =
  26. 26.3367 ÷ 96 =
  27. 27.23585 ÷ 98 =
  28. 28.53545 ÷ 88 =
  29. 29.61049 ÷ 89 =
  30. 30.231859 ÷ 988 =
  31. 31.677797 ÷ 897 =
  32. 32.39074 ÷ 98 =
  33. 33.10092 ÷ 89 =
  34. 34.609695 ÷ 997 =
  35. 35.88930 ÷ 89 =
  36. 36.61373 ÷ 89 =
  37. 37.64549 ÷ 97 =
  38. 38.15013 ÷ 88 =
  39. 39.201984 ÷ 989 =
  40. 40.337144 ÷ 988 =

Answer key

  1. 349 rem 71
  2. 912 rem 693
  3. 357 rem 445
  4. 331 rem 300
  5. 658 rem 32
  6. 739 rem 366
  7. 902 rem 566
  8. 878 rem 39
  9. 116 rem 37
  10. 599 rem 446
  11. 767 rem 84
  12. 941 rem 91
  13. 84 rem 706
  14. 45 rem 412
  15. 413 rem 46
  16. 1233 rem 7
  17. 326 rem 946
  18. 513 rem 302
  19. 888 rem 888
  20. 630 rem 63
  21. 335 rem 173
  22. 734 rem 529
  23. 393 rem 443
  24. 986 rem 9
  25. 465 rem 51
  26. 35 rem 7
  27. 240 rem 65
  28. 608 rem 41
  29. 685 rem 84
  30. 234 rem 667
  31. 755 rem 562
  32. 398 rem 70
  33. 113 rem 35
  34. 611 rem 528
  35. 999 rem 19
  36. 689 rem 52
  37. 665 rem 44
  38. 170 rem 53
  39. 204 rem 228
  40. 341 rem 236

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