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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 237 · 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. 1.35038 ÷ 89 =
  2. 2.34743 ÷ 96 =
  3. 3.83447 ÷ 96 =
  4. 4.9831 ÷ 89 =
  5. 5.85479 ÷ 89 =
  6. 6.9879 ÷ 8 =
  7. 7.742261 ÷ 988 =
  8. 8.62089 ÷ 96 =
  9. 9.327803 ÷ 998 =
  10. 10.96230 ÷ 97 =
  11. 11.816256 ÷ 989 =
  12. 12.327897 ÷ 897 =
  13. 13.653984 ÷ 997 =
  14. 14.8491 ÷ 8 =
  15. 15.652472 ÷ 989 =
  16. 16.4604 ÷ 88 =
  17. 17.68774 ÷ 88 =
  18. 18.57584 ÷ 89 =
  19. 19.444 ÷ 8 =
  20. 20.65862 ÷ 98 =
  21. 21.27229 ÷ 988 =
  22. 22.29592 ÷ 97 =
  23. 23.201052 ÷ 997 =
  24. 24.434689 ÷ 997 =
  25. 25.51894 ÷ 96 =
  26. 26.817628 ÷ 997 =
  27. 27.337890 ÷ 897 =
  28. 28.412371 ÷ 897 =
  29. 29.82829 ÷ 998 =
  30. 30.653276 ÷ 997 =
  31. 31.26268 ÷ 98 =
  32. 32.12816 ÷ 997 =
  33. 33.27153 ÷ 98 =
  34. 34.44490 ÷ 96 =
  35. 35.167227 ÷ 998 =
  36. 36.45641 ÷ 98 =
  37. 37.633356 ÷ 897 =
  38. 38.59906 ÷ 88 =
  39. 39.941237 ÷ 997 =
  40. 40.442749 ÷ 997 =

Answer key

  1. 393 rem 61
  2. 361 rem 87
  3. 869 rem 23
  4. 110 rem 41
  5. 960 rem 39
  6. 1234 rem 7
  7. 751 rem 273
  8. 646 rem 73
  9. 328 rem 459
  10. 992 rem 6
  11. 825 rem 331
  12. 365 rem 492
  13. 655 rem 949
  14. 1061 rem 3
  15. 659 rem 721
  16. 52 rem 28
  17. 781 rem 46
  18. 647 rem 1
  19. 55 rem 4
  20. 672 rem 6
  21. 27 rem 553
  22. 305 rem 7
  23. 201 rem 655
  24. 435 rem 994
  25. 540 rem 54
  26. 820 rem 88
  27. 376 rem 618
  28. 459 rem 648
  29. 82 rem 993
  30. 655 rem 241
  31. 268 rem 4
  32. 12 rem 852
  33. 277 rem 7
  34. 463 rem 42
  35. 167 rem 561
  36. 465 rem 71
  37. 706 rem 74
  38. 680 rem 66
  39. 944 rem 69
  40. 444 rem 81

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