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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 889 · 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. 1.71606 ÷ 89 =
  2. 2.7667 ÷ 89 =
  3. 3.59527 ÷ 89 =
  4. 4.187693 ÷ 997 =
  5. 5.64434 ÷ 88 =
  6. 6.193975 ÷ 988 =
  7. 7.6566 ÷ 98 =
  8. 8.53112 ÷ 89 =
  9. 9.717750 ÷ 998 =
  10. 10.8827 ÷ 8 =
  11. 11.606045 ÷ 897 =
  12. 12.7362 ÷ 8 =
  13. 13.83499 ÷ 88 =
  14. 14.17359 ÷ 97 =
  15. 15.9692 ÷ 8 =
  16. 16.648942 ÷ 997 =
  17. 17.10355 ÷ 988 =
  18. 18.38354 ÷ 98 =
  19. 19.17380 ÷ 998 =
  20. 20.30342 ÷ 988 =
  21. 21.89093 ÷ 88 =
  22. 22.891979 ÷ 897 =
  23. 23.67079 ÷ 989 =
  24. 24.866 ÷ 8 =
  25. 25.53254 ÷ 89 =
  26. 26.949154 ÷ 988 =
  27. 27.91991 ÷ 88 =
  28. 28.78580 ÷ 96 =
  29. 29.89387 ÷ 98 =
  30. 30.5762 ÷ 8 =
  31. 31.77771 ÷ 988 =
  32. 32.87845 ÷ 88 =
  33. 33.885034 ÷ 897 =
  34. 34.295822 ÷ 988 =
  35. 35.5368 ÷ 89 =
  36. 36.840393 ÷ 989 =
  37. 37.23167 ÷ 97 =
  38. 38.238215 ÷ 988 =
  39. 39.675142 ÷ 988 =
  40. 40.575005 ÷ 997 =

Answer key

  1. 804 rem 50
  2. 86 rem 13
  3. 668 rem 75
  4. 188 rem 257
  5. 732 rem 18
  6. 196 rem 327
  7. 67 rem 0
  8. 596 rem 68
  9. 719 rem 188
  10. 1103 rem 3
  11. 675 rem 570
  12. 920 rem 2
  13. 948 rem 75
  14. 178 rem 93
  15. 1211 rem 4
  16. 650 rem 892
  17. 10 rem 475
  18. 391 rem 36
  19. 17 rem 414
  20. 30 rem 702
  21. 1012 rem 37
  22. 994 rem 361
  23. 67 rem 816
  24. 108 rem 2
  25. 598 rem 32
  26. 960 rem 674
  27. 1045 rem 31
  28. 818 rem 52
  29. 912 rem 11
  30. 720 rem 2
  31. 78 rem 707
  32. 998 rem 21
  33. 986 rem 592
  34. 299 rem 410
  35. 60 rem 28
  36. 849 rem 732
  37. 238 rem 81
  38. 241 rem 107
  39. 683 rem 338
  40. 576 rem 733

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