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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 129 · 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. 1.62857 ÷ 96 =
  2. 2.62301 ÷ 88 =
  3. 3.962265 ÷ 897 =
  4. 4.394629 ÷ 897 =
  5. 5.737953 ÷ 998 =
  6. 6.649614 ÷ 988 =
  7. 7.4310 ÷ 8 =
  8. 8.14791 ÷ 997 =
  9. 9.7390 ÷ 97 =
  10. 10.89567 ÷ 89 =
  11. 11.72261 ÷ 89 =
  12. 12.341315 ÷ 989 =
  13. 13.432633 ÷ 989 =
  14. 14.76530 ÷ 96 =
  15. 15.9077 ÷ 8 =
  16. 16.387988 ÷ 989 =
  17. 17.517144 ÷ 989 =
  18. 18.76799 ÷ 97 =
  19. 19.371268 ÷ 998 =
  20. 20.36620 ÷ 98 =
  21. 21.22566 ÷ 88 =
  22. 22.90083 ÷ 89 =
  23. 23.56922 ÷ 97 =
  24. 24.4851 ÷ 88 =
  25. 25.68509 ÷ 89 =
  26. 26.394323 ÷ 998 =
  27. 27.2588 ÷ 8 =
  28. 28.44562 ÷ 89 =
  29. 29.10112 ÷ 98 =
  30. 30.83950 ÷ 88 =
  31. 31.119001 ÷ 897 =
  32. 32.33267 ÷ 89 =
  33. 33.940041 ÷ 989 =
  34. 34.64315 ÷ 96 =
  35. 35.467712 ÷ 997 =
  36. 36.168894 ÷ 997 =
  37. 37.50038 ÷ 998 =
  38. 38.870241 ÷ 998 =
  39. 39.38757 ÷ 98 =
  40. 40.29428 ÷ 97 =

Answer key

  1. 654 rem 73
  2. 707 rem 85
  3. 1072 rem 681
  4. 439 rem 846
  5. 739 rem 431
  6. 657 rem 498
  7. 538 rem 6
  8. 14 rem 833
  9. 76 rem 18
  10. 1006 rem 33
  11. 811 rem 82
  12. 345 rem 110
  13. 437 rem 440
  14. 797 rem 18
  15. 1134 rem 5
  16. 392 rem 300
  17. 522 rem 886
  18. 791 rem 72
  19. 372 rem 12
  20. 373 rem 66
  21. 256 rem 38
  22. 1012 rem 15
  23. 586 rem 80
  24. 55 rem 11
  25. 769 rem 68
  26. 395 rem 113
  27. 323 rem 4
  28. 500 rem 62
  29. 103 rem 18
  30. 953 rem 86
  31. 132 rem 597
  32. 373 rem 70
  33. 950 rem 491
  34. 669 rem 91
  35. 469 rem 119
  36. 169 rem 401
  37. 50 rem 138
  38. 871 rem 983
  39. 395 rem 47
  40. 303 rem 37

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