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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 586 · 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. 1.11459 ÷ 89 =
  2. 2.56196 ÷ 89 =
  3. 3.267634 ÷ 988 =
  4. 4.332773 ÷ 897 =
  5. 5.229269 ÷ 998 =
  6. 6.32356 ÷ 988 =
  7. 7.438170 ÷ 989 =
  8. 8.786983 ÷ 897 =
  9. 9.748433 ÷ 988 =
  10. 10.27390 ÷ 98 =
  11. 11.8457 ÷ 8 =
  12. 12.787415 ÷ 988 =
  13. 13.620283 ÷ 997 =
  14. 14.543 ÷ 8 =
  15. 15.9418 ÷ 98 =
  16. 16.300414 ÷ 988 =
  17. 17.731546 ÷ 989 =
  18. 18.71140 ÷ 89 =
  19. 19.717979 ÷ 988 =
  20. 20.143940 ÷ 997 =
  21. 21.95527 ÷ 96 =
  22. 22.33858 ÷ 88 =
  23. 23.90603 ÷ 98 =
  24. 24.48143 ÷ 88 =
  25. 25.8136 ÷ 89 =
  26. 26.27691 ÷ 97 =
  27. 27.73804 ÷ 98 =
  28. 28.109270 ÷ 897 =
  29. 29.46629 ÷ 96 =
  30. 30.106083 ÷ 997 =
  31. 31.85828 ÷ 96 =
  32. 32.2670 ÷ 8 =
  33. 33.441207 ÷ 897 =
  34. 34.503075 ÷ 998 =
  35. 35.936225 ÷ 998 =
  36. 36.52817 ÷ 98 =
  37. 37.5032 ÷ 97 =
  38. 38.694156 ÷ 997 =
  39. 39.23239 ÷ 98 =
  40. 40.5529 ÷ 88 =

Answer key

  1. 128 rem 67
  2. 631 rem 37
  3. 270 rem 874
  4. 370 rem 883
  5. 229 rem 727
  6. 32 rem 740
  7. 443 rem 43
  8. 877 rem 314
  9. 757 rem 517
  10. 279 rem 48
  11. 1057 rem 1
  12. 796 rem 967
  13. 622 rem 149
  14. 67 rem 7
  15. 96 rem 10
  16. 304 rem 62
  17. 739 rem 675
  18. 799 rem 29
  19. 726 rem 691
  20. 144 rem 372
  21. 995 rem 7
  22. 384 rem 66
  23. 924 rem 51
  24. 547 rem 7
  25. 91 rem 37
  26. 285 rem 46
  27. 753 rem 10
  28. 121 rem 733
  29. 485 rem 69
  30. 106 rem 401
  31. 894 rem 4
  32. 333 rem 6
  33. 491 rem 780
  34. 504 rem 83
  35. 938 rem 101
  36. 538 rem 93
  37. 51 rem 85
  38. 696 rem 244
  39. 237 rem 13
  40. 62 rem 73

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