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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 177 · 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. 1.5236 ÷ 8 =
  2. 2.2874 ÷ 89 =
  3. 3.68219 ÷ 88 =
  4. 4.43357 ÷ 98 =
  5. 5.7034 ÷ 8 =
  6. 6.85932 ÷ 997 =
  7. 7.6645 ÷ 97 =
  8. 8.3488 ÷ 8 =
  9. 9.61384 ÷ 97 =
  10. 10.578156 ÷ 997 =
  11. 11.565070 ÷ 988 =
  12. 12.68836 ÷ 96 =
  13. 13.37774 ÷ 89 =
  14. 14.89717 ÷ 89 =
  15. 15.48749 ÷ 997 =
  16. 16.48492 ÷ 96 =
  17. 17.985057 ÷ 998 =
  18. 18.357491 ÷ 897 =
  19. 19.141947 ÷ 998 =
  20. 20.504904 ÷ 988 =
  21. 21.34797 ÷ 98 =
  22. 22.300610 ÷ 988 =
  23. 23.84933 ÷ 88 =
  24. 24.79150 ÷ 96 =
  25. 25.6259 ÷ 8 =
  26. 26.272858 ÷ 897 =
  27. 27.87366 ÷ 89 =
  28. 28.78545 ÷ 97 =
  29. 29.263931 ÷ 989 =
  30. 30.351347 ÷ 998 =
  31. 31.774428 ÷ 989 =
  32. 32.80934 ÷ 96 =
  33. 33.67492 ÷ 88 =
  34. 34.10158 ÷ 98 =
  35. 35.45639 ÷ 96 =
  36. 36.16527 ÷ 96 =
  37. 37.90361 ÷ 98 =
  38. 38.903614 ÷ 988 =
  39. 39.19354 ÷ 88 =
  40. 40.620843 ÷ 989 =

Answer key

  1. 654 rem 4
  2. 32 rem 26
  3. 775 rem 19
  4. 442 rem 41
  5. 879 rem 2
  6. 86 rem 190
  7. 68 rem 49
  8. 436 rem 0
  9. 632 rem 80
  10. 579 rem 893
  11. 571 rem 922
  12. 717 rem 4
  13. 424 rem 38
  14. 1008 rem 5
  15. 48 rem 893
  16. 505 rem 12
  17. 987 rem 31
  18. 398 rem 485
  19. 142 rem 231
  20. 511 rem 36
  21. 355 rem 7
  22. 304 rem 258
  23. 965 rem 13
  24. 824 rem 46
  25. 782 rem 3
  26. 304 rem 170
  27. 981 rem 57
  28. 809 rem 72
  29. 266 rem 857
  30. 352 rem 51
  31. 783 rem 41
  32. 843 rem 6
  33. 766 rem 84
  34. 103 rem 64
  35. 475 rem 39
  36. 172 rem 15
  37. 922 rem 5
  38. 914 rem 582
  39. 219 rem 82
  40. 627 rem 740

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