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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 996 · 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. 1.7671 ÷ 96 =
  2. 2.8707 ÷ 8 =
  3. 3.561601 ÷ 997 =
  4. 4.68214 ÷ 96 =
  5. 5.105862 ÷ 989 =
  6. 6.87144 ÷ 89 =
  7. 7.50751 ÷ 96 =
  8. 8.367470 ÷ 897 =
  9. 9.87552 ÷ 98 =
  10. 10.79857 ÷ 97 =
  11. 11.222343 ÷ 988 =
  12. 12.97199 ÷ 96 =
  13. 13.52690 ÷ 98 =
  14. 14.629276 ÷ 998 =
  15. 15.947826 ÷ 988 =
  16. 16.2154 ÷ 8 =
  17. 17.18109 ÷ 97 =
  18. 18.10418 ÷ 89 =
  19. 19.283931 ÷ 897 =
  20. 20.923457 ÷ 988 =
  21. 21.88571 ÷ 97 =
  22. 22.18948 ÷ 89 =
  23. 23.91884 ÷ 89 =
  24. 24.77796 ÷ 96 =
  25. 25.207784 ÷ 998 =
  26. 26.282832 ÷ 998 =
  27. 27.7164 ÷ 96 =
  28. 28.97631 ÷ 98 =
  29. 29.964943 ÷ 988 =
  30. 30.4727 ÷ 8 =
  31. 31.15889 ÷ 98 =
  32. 32.946071 ÷ 997 =
  33. 33.490005 ÷ 997 =
  34. 34.941960 ÷ 997 =
  35. 35.57946 ÷ 89 =
  36. 36.560621 ÷ 989 =
  37. 37.48767 ÷ 89 =
  38. 38.2365 ÷ 98 =
  39. 39.267018 ÷ 998 =
  40. 40.347539 ÷ 998 =

Answer key

  1. 79 rem 87
  2. 1088 rem 3
  3. 563 rem 290
  4. 710 rem 54
  5. 107 rem 39
  6. 979 rem 13
  7. 528 rem 63
  8. 409 rem 597
  9. 893 rem 38
  10. 823 rem 26
  11. 225 rem 43
  12. 1012 rem 47
  13. 537 rem 64
  14. 630 rem 536
  15. 959 rem 334
  16. 269 rem 2
  17. 186 rem 67
  18. 117 rem 5
  19. 316 rem 479
  20. 934 rem 665
  21. 913 rem 10
  22. 212 rem 80
  23. 1032 rem 36
  24. 810 rem 36
  25. 208 rem 200
  26. 283 rem 398
  27. 74 rem 60
  28. 996 rem 23
  29. 976 rem 655
  30. 590 rem 7
  31. 162 rem 13
  32. 948 rem 915
  33. 491 rem 478
  34. 944 rem 792
  35. 651 rem 7
  36. 566 rem 847
  37. 547 rem 84
  38. 24 rem 13
  39. 267 rem 552
  40. 348 rem 235

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