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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 76 · 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. 1.878353 ÷ 997 =
  2. 2.438841 ÷ 988 =
  3. 3.79071 ÷ 98 =
  4. 4.1155 ÷ 97 =
  5. 5.15120 ÷ 89 =
  6. 6.6619 ÷ 8 =
  7. 7.91357 ÷ 96 =
  8. 8.873553 ÷ 997 =
  9. 9.85509 ÷ 97 =
  10. 10.4270 ÷ 8 =
  11. 11.781349 ÷ 997 =
  12. 12.2571 ÷ 88 =
  13. 13.649331 ÷ 897 =
  14. 14.9099 ÷ 8 =
  15. 15.2877 ÷ 8 =
  16. 16.586406 ÷ 988 =
  17. 17.88956 ÷ 97 =
  18. 18.71501 ÷ 89 =
  19. 19.996653 ÷ 997 =
  20. 20.699139 ÷ 997 =
  21. 21.69467 ÷ 98 =
  22. 22.71516 ÷ 88 =
  23. 23.11001 ÷ 98 =
  24. 24.358905 ÷ 989 =
  25. 25.948469 ÷ 988 =
  26. 26.80142 ÷ 88 =
  27. 27.23229 ÷ 88 =
  28. 28.6176 ÷ 8 =
  29. 29.464938 ÷ 997 =
  30. 30.63211 ÷ 97 =
  31. 31.52290 ÷ 988 =
  32. 32.674210 ÷ 998 =
  33. 33.19108 ÷ 88 =
  34. 34.58399 ÷ 89 =
  35. 35.59112 ÷ 89 =
  36. 36.13300 ÷ 89 =
  37. 37.4584 ÷ 8 =
  38. 38.871207 ÷ 988 =
  39. 39.840810 ÷ 998 =
  40. 40.33005 ÷ 98 =

Answer key

  1. 880 rem 993
  2. 444 rem 169
  3. 806 rem 83
  4. 11 rem 88
  5. 169 rem 79
  6. 827 rem 3
  7. 951 rem 61
  8. 876 rem 181
  9. 881 rem 52
  10. 533 rem 6
  11. 783 rem 698
  12. 29 rem 19
  13. 723 rem 800
  14. 1137 rem 3
  15. 359 rem 5
  16. 593 rem 522
  17. 917 rem 7
  18. 803 rem 34
  19. 999 rem 650
  20. 701 rem 242
  21. 708 rem 83
  22. 812 rem 60
  23. 112 rem 25
  24. 362 rem 887
  25. 959 rem 977
  26. 910 rem 62
  27. 263 rem 85
  28. 772 rem 0
  29. 466 rem 336
  30. 651 rem 64
  31. 52 rem 914
  32. 675 rem 560
  33. 217 rem 12
  34. 656 rem 15
  35. 664 rem 16
  36. 149 rem 39
  37. 573 rem 0
  38. 881 rem 779
  39. 842 rem 494
  40. 336 rem 77

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