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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 567 · 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. 1.51519 ÷ 88 =
  2. 2.396007 ÷ 897 =
  3. 3.6616 ÷ 8 =
  4. 4.4054 ÷ 8 =
  5. 5.5764 ÷ 8 =
  6. 6.18162 ÷ 96 =
  7. 7.8036 ÷ 8 =
  8. 8.910651 ÷ 988 =
  9. 9.1374 ÷ 96 =
  10. 10.41105 ÷ 88 =
  11. 11.7255 ÷ 8 =
  12. 12.17507 ÷ 988 =
  13. 13.415396 ÷ 989 =
  14. 14.484611 ÷ 988 =
  15. 15.52675 ÷ 88 =
  16. 16.8422 ÷ 98 =
  17. 17.27260 ÷ 989 =
  18. 18.9041 ÷ 8 =
  19. 19.32375 ÷ 98 =
  20. 20.34335 ÷ 998 =
  21. 21.45417 ÷ 98 =
  22. 22.3161 ÷ 8 =
  23. 23.85997 ÷ 998 =
  24. 24.9762 ÷ 8 =
  25. 25.71481 ÷ 96 =
  26. 26.3294 ÷ 97 =
  27. 27.67123 ÷ 98 =
  28. 28.4097 ÷ 89 =
  29. 29.921862 ÷ 989 =
  30. 30.16450 ÷ 98 =
  31. 31.75285 ÷ 88 =
  32. 32.159389 ÷ 989 =
  33. 33.83686 ÷ 88 =
  34. 34.590410 ÷ 989 =
  35. 35.420397 ÷ 989 =
  36. 36.66020 ÷ 98 =
  37. 37.97376 ÷ 97 =
  38. 38.62529 ÷ 97 =
  39. 39.6597 ÷ 97 =
  40. 40.1368 ÷ 97 =

Answer key

  1. 585 rem 39
  2. 441 rem 430
  3. 827 rem 0
  4. 506 rem 6
  5. 720 rem 4
  6. 189 rem 18
  7. 1004 rem 4
  8. 921 rem 703
  9. 14 rem 30
  10. 467 rem 9
  11. 906 rem 7
  12. 17 rem 711
  13. 420 rem 16
  14. 490 rem 491
  15. 598 rem 51
  16. 85 rem 92
  17. 27 rem 557
  18. 1130 rem 1
  19. 330 rem 35
  20. 34 rem 403
  21. 463 rem 43
  22. 395 rem 1
  23. 86 rem 169
  24. 1220 rem 2
  25. 744 rem 57
  26. 33 rem 93
  27. 684 rem 91
  28. 46 rem 3
  29. 932 rem 114
  30. 167 rem 84
  31. 855 rem 45
  32. 161 rem 160
  33. 950 rem 86
  34. 596 rem 966
  35. 425 rem 72
  36. 673 rem 66
  37. 1003 rem 85
  38. 644 rem 61
  39. 68 rem 1
  40. 14 rem 10

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