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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 717 · 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. 1.407233 ÷ 989 =
  2. 2.2987 ÷ 88 =
  3. 3.109770 ÷ 997 =
  4. 4.511771 ÷ 997 =
  5. 5.464418 ÷ 988 =
  6. 6.81887 ÷ 96 =
  7. 7.69915 ÷ 97 =
  8. 8.763873 ÷ 989 =
  9. 9.43744 ÷ 88 =
  10. 10.44397 ÷ 88 =
  11. 11.33978 ÷ 98 =
  12. 12.5332 ÷ 8 =
  13. 13.747821 ÷ 998 =
  14. 14.416285 ÷ 988 =
  15. 15.22648 ÷ 97 =
  16. 16.59798 ÷ 97 =
  17. 17.194034 ÷ 988 =
  18. 18.81060 ÷ 97 =
  19. 19.329805 ÷ 897 =
  20. 20.93833 ÷ 88 =
  21. 21.352170 ÷ 998 =
  22. 22.82450 ÷ 98 =
  23. 23.2378 ÷ 96 =
  24. 24.17902 ÷ 88 =
  25. 25.17710 ÷ 97 =
  26. 26.946155 ÷ 988 =
  27. 27.460320 ÷ 997 =
  28. 28.55606 ÷ 97 =
  29. 29.88969 ÷ 98 =
  30. 30.96795 ÷ 97 =
  31. 31.1155 ÷ 8 =
  32. 32.98874 ÷ 89 =
  33. 33.994683 ÷ 997 =
  34. 34.256175 ÷ 997 =
  35. 35.8321 ÷ 98 =
  36. 36.205505 ÷ 897 =
  37. 37.165579 ÷ 989 =
  38. 38.2848 ÷ 8 =
  39. 39.17987 ÷ 96 =
  40. 40.6543 ÷ 8 =

Answer key

  1. 411 rem 754
  2. 33 rem 83
  3. 110 rem 100
  4. 513 rem 310
  5. 470 rem 58
  6. 852 rem 95
  7. 720 rem 75
  8. 772 rem 365
  9. 497 rem 8
  10. 504 rem 45
  11. 346 rem 70
  12. 666 rem 4
  13. 749 rem 319
  14. 421 rem 337
  15. 233 rem 47
  16. 616 rem 46
  17. 196 rem 386
  18. 835 rem 65
  19. 367 rem 606
  20. 1066 rem 25
  21. 352 rem 874
  22. 841 rem 32
  23. 24 rem 74
  24. 203 rem 38
  25. 182 rem 56
  26. 957 rem 639
  27. 461 rem 703
  28. 573 rem 25
  29. 907 rem 83
  30. 997 rem 86
  31. 144 rem 3
  32. 1110 rem 84
  33. 997 rem 674
  34. 256 rem 943
  35. 84 rem 89
  36. 229 rem 92
  37. 167 rem 416
  38. 356 rem 0
  39. 187 rem 35
  40. 817 rem 7

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