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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 990 · 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. 1.30213 ÷ 98 =
  2. 2.31843 ÷ 988 =
  3. 3.95594 ÷ 89 =
  4. 4.24263 ÷ 89 =
  5. 5.129419 ÷ 998 =
  6. 6.569852 ÷ 997 =
  7. 7.93838 ÷ 88 =
  8. 8.299330 ÷ 998 =
  9. 9.50722 ÷ 89 =
  10. 10.628351 ÷ 897 =
  11. 11.687709 ÷ 998 =
  12. 12.5600 ÷ 8 =
  13. 13.28171 ÷ 97 =
  14. 14.80940 ÷ 97 =
  15. 15.79306 ÷ 97 =
  16. 16.94874 ÷ 96 =
  17. 17.48254 ÷ 89 =
  18. 18.84385 ÷ 96 =
  19. 19.463472 ÷ 997 =
  20. 20.896520 ÷ 988 =
  21. 21.44553 ÷ 88 =
  22. 22.34724 ÷ 97 =
  23. 23.94915 ÷ 88 =
  24. 24.804128 ÷ 998 =
  25. 25.22115 ÷ 989 =
  26. 26.35828 ÷ 96 =
  27. 27.422807 ÷ 997 =
  28. 28.74723 ÷ 88 =
  29. 29.5213 ÷ 8 =
  30. 30.894625 ÷ 998 =
  31. 31.984048 ÷ 988 =
  32. 32.39842 ÷ 997 =
  33. 33.63839 ÷ 96 =
  34. 34.7380 ÷ 8 =
  35. 35.835460 ÷ 989 =
  36. 36.52035 ÷ 88 =
  37. 37.5761 ÷ 8 =
  38. 38.6860 ÷ 8 =
  39. 39.8892 ÷ 96 =
  40. 40.94468 ÷ 98 =

Answer key

  1. 308 rem 29
  2. 32 rem 227
  3. 1074 rem 8
  4. 272 rem 55
  5. 129 rem 677
  6. 571 rem 565
  7. 1066 rem 30
  8. 299 rem 928
  9. 569 rem 81
  10. 700 rem 451
  11. 689 rem 87
  12. 700 rem 0
  13. 290 rem 41
  14. 834 rem 42
  15. 817 rem 57
  16. 988 rem 26
  17. 542 rem 16
  18. 879 rem 1
  19. 464 rem 864
  20. 907 rem 404
  21. 506 rem 25
  22. 357 rem 95
  23. 1078 rem 51
  24. 805 rem 738
  25. 22 rem 357
  26. 373 rem 20
  27. 424 rem 79
  28. 849 rem 11
  29. 651 rem 5
  30. 896 rem 417
  31. 996 rem 0
  32. 39 rem 959
  33. 664 rem 95
  34. 922 rem 4
  35. 844 rem 744
  36. 591 rem 27
  37. 720 rem 1
  38. 857 rem 4
  39. 92 rem 60
  40. 963 rem 94

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