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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 34 · 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. 1.564013 ÷ 988 =
  2. 2.69021 ÷ 89 =
  3. 3.24056 ÷ 89 =
  4. 4.143821 ÷ 988 =
  5. 5.3599 ÷ 89 =
  6. 6.47470 ÷ 96 =
  7. 7.71627 ÷ 97 =
  8. 8.223783 ÷ 988 =
  9. 9.31118 ÷ 97 =
  10. 10.5935 ÷ 8 =
  11. 11.10820 ÷ 98 =
  12. 12.49486 ÷ 98 =
  13. 13.410237 ÷ 998 =
  14. 14.56837 ÷ 98 =
  15. 15.154821 ÷ 897 =
  16. 16.495863 ÷ 988 =
  17. 17.37193 ÷ 88 =
  18. 18.3254 ÷ 8 =
  19. 19.212377 ÷ 989 =
  20. 20.5939 ÷ 8 =
  21. 21.70985 ÷ 88 =
  22. 22.24099 ÷ 96 =
  23. 23.360863 ÷ 997 =
  24. 24.80262 ÷ 88 =
  25. 25.65080 ÷ 97 =
  26. 26.52946 ÷ 998 =
  27. 27.503107 ÷ 988 =
  28. 28.64406 ÷ 88 =
  29. 29.74390 ÷ 998 =
  30. 30.651557 ÷ 989 =
  31. 31.77416 ÷ 98 =
  32. 32.988562 ÷ 989 =
  33. 33.29486 ÷ 97 =
  34. 34.6832 ÷ 8 =
  35. 35.144055 ÷ 988 =
  36. 36.78267 ÷ 97 =
  37. 37.8436 ÷ 8 =
  38. 38.95000 ÷ 96 =
  39. 39.53940 ÷ 97 =
  40. 40.73092 ÷ 98 =

Answer key

  1. 570 rem 853
  2. 775 rem 46
  3. 270 rem 26
  4. 145 rem 561
  5. 40 rem 39
  6. 494 rem 46
  7. 738 rem 41
  8. 226 rem 495
  9. 320 rem 78
  10. 741 rem 7
  11. 110 rem 40
  12. 504 rem 94
  13. 411 rem 59
  14. 579 rem 95
  15. 172 rem 537
  16. 501 rem 875
  17. 422 rem 57
  18. 406 rem 6
  19. 214 rem 731
  20. 742 rem 3
  21. 806 rem 57
  22. 251 rem 3
  23. 361 rem 946
  24. 912 rem 6
  25. 670 rem 90
  26. 53 rem 52
  27. 509 rem 215
  28. 731 rem 78
  29. 74 rem 538
  30. 658 rem 795
  31. 789 rem 94
  32. 999 rem 551
  33. 303 rem 95
  34. 854 rem 0
  35. 145 rem 795
  36. 806 rem 85
  37. 1054 rem 4
  38. 989 rem 56
  39. 556 rem 8
  40. 745 rem 82

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