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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 91 · 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. 1.605054 ÷ 997 =
  2. 2.142905 ÷ 988 =
  3. 3.19748 ÷ 998 =
  4. 4.95796 ÷ 989 =
  5. 5.739869 ÷ 998 =
  6. 6.858 ÷ 8 =
  7. 7.30889 ÷ 98 =
  8. 8.9571 ÷ 98 =
  9. 9.379132 ÷ 897 =
  10. 10.66968 ÷ 96 =
  11. 11.3515 ÷ 8 =
  12. 12.72129 ÷ 96 =
  13. 13.17479 ÷ 89 =
  14. 14.4481 ÷ 8 =
  15. 15.909921 ÷ 897 =
  16. 16.14065 ÷ 97 =
  17. 17.53710 ÷ 96 =
  18. 18.218428 ÷ 997 =
  19. 19.790 ÷ 8 =
  20. 20.896469 ÷ 997 =
  21. 21.7870 ÷ 97 =
  22. 22.8357 ÷ 8 =
  23. 23.16109 ÷ 89 =
  24. 24.66886 ÷ 97 =
  25. 25.3491 ÷ 8 =
  26. 26.781884 ÷ 897 =
  27. 27.73426 ÷ 89 =
  28. 28.4785 ÷ 8 =
  29. 29.271170 ÷ 897 =
  30. 30.24687 ÷ 89 =
  31. 31.8698 ÷ 98 =
  32. 32.184416 ÷ 998 =
  33. 33.768104 ÷ 998 =
  34. 34.801501 ÷ 988 =
  35. 35.94126 ÷ 97 =
  36. 36.326094 ÷ 988 =
  37. 37.544799 ÷ 997 =
  38. 38.907075 ÷ 997 =
  39. 39.9859 ÷ 98 =
  40. 40.505420 ÷ 897 =

Answer key

  1. 606 rem 872
  2. 144 rem 633
  3. 19 rem 786
  4. 96 rem 852
  5. 741 rem 351
  6. 107 rem 2
  7. 315 rem 19
  8. 97 rem 65
  9. 422 rem 598
  10. 697 rem 56
  11. 439 rem 3
  12. 751 rem 33
  13. 196 rem 35
  14. 560 rem 1
  15. 1014 rem 363
  16. 145 rem 0
  17. 559 rem 46
  18. 219 rem 85
  19. 98 rem 6
  20. 899 rem 166
  21. 81 rem 13
  22. 1044 rem 5
  23. 181 rem 0
  24. 689 rem 53
  25. 436 rem 3
  26. 871 rem 597
  27. 825 rem 1
  28. 598 rem 1
  29. 302 rem 276
  30. 277 rem 34
  31. 88 rem 74
  32. 184 rem 784
  33. 769 rem 642
  34. 811 rem 233
  35. 970 rem 36
  36. 330 rem 54
  37. 546 rem 437
  38. 909 rem 802
  39. 100 rem 59
  40. 563 rem 409

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