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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 18 · 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. 1.101681 ÷ 897 =
  2. 2.73620 ÷ 88 =
  3. 3.99385 ÷ 88 =
  4. 4.212529 ÷ 897 =
  5. 5.524042 ÷ 997 =
  6. 6.66698 ÷ 96 =
  7. 7.781517 ÷ 897 =
  8. 8.82317 ÷ 989 =
  9. 9.18603 ÷ 97 =
  10. 10.1876 ÷ 96 =
  11. 11.138325 ÷ 988 =
  12. 12.14744 ÷ 96 =
  13. 13.534631 ÷ 897 =
  14. 14.616013 ÷ 988 =
  15. 15.762947 ÷ 997 =
  16. 16.852006 ÷ 988 =
  17. 17.56750 ÷ 97 =
  18. 18.4393 ÷ 8 =
  19. 19.5313 ÷ 8 =
  20. 20.557225 ÷ 988 =
  21. 21.502453 ÷ 989 =
  22. 22.481721 ÷ 997 =
  23. 23.418865 ÷ 998 =
  24. 24.47396 ÷ 96 =
  25. 25.12832 ÷ 96 =
  26. 26.446403 ÷ 897 =
  27. 27.529736 ÷ 997 =
  28. 28.987821 ÷ 897 =
  29. 29.23708 ÷ 98 =
  30. 30.17432 ÷ 98 =
  31. 31.69717 ÷ 998 =
  32. 32.436336 ÷ 998 =
  33. 33.2688 ÷ 8 =
  34. 34.15515 ÷ 98 =
  35. 35.55527 ÷ 97 =
  36. 36.657644 ÷ 997 =
  37. 37.91085 ÷ 97 =
  38. 38.97148 ÷ 88 =
  39. 39.1776 ÷ 8 =
  40. 40.126005 ÷ 989 =

Answer key

  1. 113 rem 320
  2. 836 rem 52
  3. 1129 rem 33
  4. 236 rem 837
  5. 525 rem 617
  6. 694 rem 74
  7. 871 rem 230
  8. 83 rem 230
  9. 191 rem 76
  10. 19 rem 52
  11. 140 rem 5
  12. 153 rem 56
  13. 596 rem 19
  14. 623 rem 489
  15. 765 rem 242
  16. 862 rem 350
  17. 585 rem 5
  18. 549 rem 1
  19. 664 rem 1
  20. 563 rem 981
  21. 508 rem 41
  22. 483 rem 170
  23. 419 rem 703
  24. 493 rem 68
  25. 133 rem 64
  26. 497 rem 594
  27. 531 rem 329
  28. 1101 rem 224
  29. 241 rem 90
  30. 177 rem 86
  31. 69 rem 855
  32. 437 rem 210
  33. 336 rem 0
  34. 158 rem 31
  35. 572 rem 43
  36. 659 rem 621
  37. 939 rem 2
  38. 1103 rem 84
  39. 222 rem 0
  40. 127 rem 402

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