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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 114 · 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. 1.55427 ÷ 96 =
  2. 2.12748 ÷ 97 =
  3. 3.849673 ÷ 988 =
  4. 4.707590 ÷ 998 =
  5. 5.20901 ÷ 98 =
  6. 6.11526 ÷ 96 =
  7. 7.560637 ÷ 989 =
  8. 8.59183 ÷ 96 =
  9. 9.54801 ÷ 98 =
  10. 10.475800 ÷ 998 =
  11. 11.27855 ÷ 96 =
  12. 12.10433 ÷ 88 =
  13. 13.115593 ÷ 988 =
  14. 14.587754 ÷ 997 =
  15. 15.52468 ÷ 97 =
  16. 16.45917 ÷ 88 =
  17. 17.19416 ÷ 97 =
  18. 18.97430 ÷ 897 =
  19. 19.74992 ÷ 97 =
  20. 20.29916 ÷ 88 =
  21. 21.480933 ÷ 989 =
  22. 22.93566 ÷ 98 =
  23. 23.74648 ÷ 96 =
  24. 24.5216 ÷ 8 =
  25. 25.122510 ÷ 998 =
  26. 26.134482 ÷ 989 =
  27. 27.95400 ÷ 98 =
  28. 28.67442 ÷ 96 =
  29. 29.253884 ÷ 988 =
  30. 30.94753 ÷ 89 =
  31. 31.981352 ÷ 897 =
  32. 32.48724 ÷ 89 =
  33. 33.16214 ÷ 97 =
  34. 34.925935 ÷ 988 =
  35. 35.86802 ÷ 98 =
  36. 36.58204 ÷ 96 =
  37. 37.5158 ÷ 8 =
  38. 38.13313 ÷ 96 =
  39. 39.886639 ÷ 998 =
  40. 40.71239 ÷ 88 =

Answer key

  1. 577 rem 35
  2. 131 rem 41
  3. 859 rem 981
  4. 709 rem 8
  5. 213 rem 27
  6. 120 rem 6
  7. 566 rem 863
  8. 616 rem 47
  9. 559 rem 19
  10. 476 rem 752
  11. 290 rem 15
  12. 118 rem 49
  13. 116 rem 985
  14. 589 rem 521
  15. 540 rem 88
  16. 521 rem 69
  17. 200 rem 16
  18. 108 rem 554
  19. 773 rem 11
  20. 339 rem 84
  21. 486 rem 279
  22. 954 rem 74
  23. 777 rem 56
  24. 652 rem 0
  25. 122 rem 754
  26. 135 rem 967
  27. 973 rem 46
  28. 702 rem 50
  29. 256 rem 956
  30. 1064 rem 57
  31. 1094 rem 34
  32. 547 rem 41
  33. 167 rem 15
  34. 937 rem 179
  35. 885 rem 72
  36. 606 rem 28
  37. 644 rem 6
  38. 138 rem 65
  39. 888 rem 415
  40. 809 rem 47

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