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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 528 · 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. 1.637818 ÷ 998 =
  2. 2.178735 ÷ 997 =
  3. 3.919502 ÷ 988 =
  4. 4.490003 ÷ 997 =
  5. 5.53393 ÷ 97 =
  6. 6.901276 ÷ 989 =
  7. 7.73869 ÷ 98 =
  8. 8.9772 ÷ 8 =
  9. 9.690384 ÷ 998 =
  10. 10.56271 ÷ 96 =
  11. 11.31492 ÷ 88 =
  12. 12.345205 ÷ 897 =
  13. 13.30766 ÷ 989 =
  14. 14.685153 ÷ 997 =
  15. 15.25769 ÷ 98 =
  16. 16.914179 ÷ 989 =
  17. 17.584658 ÷ 989 =
  18. 18.945170 ÷ 988 =
  19. 19.46315 ÷ 97 =
  20. 20.530963 ÷ 989 =
  21. 21.2298 ÷ 8 =
  22. 22.600337 ÷ 988 =
  23. 23.20665 ÷ 97 =
  24. 24.23447 ÷ 88 =
  25. 25.396910 ÷ 997 =
  26. 26.79157 ÷ 88 =
  27. 27.19990 ÷ 97 =
  28. 28.93013 ÷ 97 =
  29. 29.84089 ÷ 97 =
  30. 30.99818 ÷ 98 =
  31. 31.4831 ÷ 8 =
  32. 32.89527 ÷ 98 =
  33. 33.54064 ÷ 89 =
  34. 34.26443 ÷ 989 =
  35. 35.8955 ÷ 98 =
  36. 36.25926 ÷ 96 =
  37. 37.666994 ÷ 988 =
  38. 38.501468 ÷ 998 =
  39. 39.4698 ÷ 89 =
  40. 40.98941 ÷ 97 =

Answer key

  1. 639 rem 96
  2. 179 rem 272
  3. 930 rem 662
  4. 491 rem 476
  5. 550 rem 43
  6. 911 rem 297
  7. 753 rem 75
  8. 1221 rem 4
  9. 691 rem 766
  10. 586 rem 15
  11. 357 rem 76
  12. 384 rem 757
  13. 31 rem 107
  14. 687 rem 214
  15. 262 rem 93
  16. 924 rem 343
  17. 591 rem 159
  18. 956 rem 642
  19. 477 rem 46
  20. 536 rem 859
  21. 287 rem 2
  22. 607 rem 621
  23. 213 rem 4
  24. 266 rem 39
  25. 398 rem 104
  26. 899 rem 45
  27. 206 rem 8
  28. 958 rem 87
  29. 866 rem 87
  30. 1018 rem 54
  31. 603 rem 7
  32. 913 rem 53
  33. 607 rem 41
  34. 26 rem 729
  35. 91 rem 37
  36. 270 rem 6
  37. 675 rem 94
  38. 502 rem 472
  39. 52 rem 70
  40. 1020 rem 1

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