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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 72 · 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. 1.133790 ÷ 998 =
  2. 2.201352 ÷ 989 =
  3. 3.73958 ÷ 88 =
  4. 4.17638 ÷ 96 =
  5. 5.644677 ÷ 897 =
  6. 6.433211 ÷ 897 =
  7. 7.1222 ÷ 98 =
  8. 8.482787 ÷ 997 =
  9. 9.63856 ÷ 89 =
  10. 10.17898 ÷ 97 =
  11. 11.97236 ÷ 97 =
  12. 12.262646 ÷ 897 =
  13. 13.20589 ÷ 96 =
  14. 14.41795 ÷ 997 =
  15. 15.6929 ÷ 8 =
  16. 16.3861 ÷ 96 =
  17. 17.43739 ÷ 97 =
  18. 18.44470 ÷ 96 =
  19. 19.91860 ÷ 97 =
  20. 20.47951 ÷ 88 =
  21. 21.522110 ÷ 989 =
  22. 22.30018 ÷ 97 =
  23. 23.91985 ÷ 97 =
  24. 24.224409 ÷ 989 =
  25. 25.1808 ÷ 8 =
  26. 26.576345 ÷ 988 =
  27. 27.715548 ÷ 997 =
  28. 28.554577 ÷ 997 =
  29. 29.377553 ÷ 988 =
  30. 30.950797 ÷ 989 =
  31. 31.43608 ÷ 96 =
  32. 32.741718 ÷ 997 =
  33. 33.359820 ÷ 997 =
  34. 34.12484 ÷ 98 =
  35. 35.68296 ÷ 97 =
  36. 36.199698 ÷ 998 =
  37. 37.393749 ÷ 989 =
  38. 38.273941 ÷ 989 =
  39. 39.70344 ÷ 89 =
  40. 40.3382 ÷ 89 =

Answer key

  1. 134 rem 58
  2. 203 rem 585
  3. 840 rem 38
  4. 183 rem 70
  5. 718 rem 631
  6. 482 rem 857
  7. 12 rem 46
  8. 484 rem 239
  9. 717 rem 43
  10. 184 rem 50
  11. 1002 rem 42
  12. 292 rem 722
  13. 214 rem 45
  14. 41 rem 918
  15. 866 rem 1
  16. 40 rem 21
  17. 450 rem 89
  18. 463 rem 22
  19. 947 rem 1
  20. 544 rem 79
  21. 527 rem 907
  22. 309 rem 45
  23. 948 rem 29
  24. 226 rem 895
  25. 226 rem 0
  26. 583 rem 341
  27. 717 rem 699
  28. 556 rem 245
  29. 382 rem 137
  30. 961 rem 368
  31. 454 rem 24
  32. 743 rem 947
  33. 360 rem 900
  34. 127 rem 38
  35. 704 rem 8
  36. 200 rem 98
  37. 398 rem 127
  38. 276 rem 977
  39. 790 rem 34
  40. 38 rem 0

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