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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 205 · 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. 1.263447 ÷ 997 =
  2. 2.2933 ÷ 8 =
  3. 3.88382 ÷ 96 =
  4. 4.87006 ÷ 96 =
  5. 5.910916 ÷ 989 =
  6. 6.860947 ÷ 897 =
  7. 7.31893 ÷ 97 =
  8. 8.67376 ÷ 96 =
  9. 9.909281 ÷ 988 =
  10. 10.9426 ÷ 97 =
  11. 11.335618 ÷ 989 =
  12. 12.122382 ÷ 989 =
  13. 13.992991 ÷ 988 =
  14. 14.74881 ÷ 88 =
  15. 15.68540 ÷ 96 =
  16. 16.28154 ÷ 96 =
  17. 17.86215 ÷ 997 =
  18. 18.86788 ÷ 96 =
  19. 19.8300 ÷ 97 =
  20. 20.686082 ÷ 897 =
  21. 21.830 ÷ 8 =
  22. 22.4653 ÷ 88 =
  23. 23.865006 ÷ 897 =
  24. 24.8752 ÷ 8 =
  25. 25.382467 ÷ 988 =
  26. 26.41751 ÷ 96 =
  27. 27.35918 ÷ 97 =
  28. 28.339023 ÷ 897 =
  29. 29.776541 ÷ 988 =
  30. 30.18211 ÷ 89 =
  31. 31.42219 ÷ 97 =
  32. 32.3074 ÷ 8 =
  33. 33.466150 ÷ 988 =
  34. 34.757734 ÷ 997 =
  35. 35.24982 ÷ 89 =
  36. 36.63563 ÷ 98 =
  37. 37.18748 ÷ 89 =
  38. 38.78859 ÷ 98 =
  39. 39.684833 ÷ 989 =
  40. 40.65027 ÷ 997 =

Answer key

  1. 264 rem 239
  2. 366 rem 5
  3. 920 rem 62
  4. 906 rem 30
  5. 921 rem 47
  6. 959 rem 724
  7. 328 rem 77
  8. 701 rem 80
  9. 920 rem 321
  10. 97 rem 17
  11. 339 rem 347
  12. 123 rem 735
  13. 1005 rem 51
  14. 850 rem 81
  15. 713 rem 92
  16. 293 rem 26
  17. 86 rem 473
  18. 904 rem 4
  19. 85 rem 55
  20. 764 rem 774
  21. 103 rem 6
  22. 52 rem 77
  23. 964 rem 298
  24. 1094 rem 0
  25. 387 rem 111
  26. 434 rem 87
  27. 370 rem 28
  28. 377 rem 854
  29. 785 rem 961
  30. 204 rem 55
  31. 435 rem 24
  32. 384 rem 2
  33. 471 rem 802
  34. 760 rem 14
  35. 280 rem 62
  36. 648 rem 59
  37. 210 rem 58
  38. 804 rem 67
  39. 692 rem 445
  40. 65 rem 222

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