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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 543 · 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. 1.346188 ÷ 897 =
  2. 2.666 ÷ 8 =
  3. 3.41831 ÷ 89 =
  4. 4.651212 ÷ 997 =
  5. 5.60061 ÷ 96 =
  6. 6.459886 ÷ 989 =
  7. 7.210953 ÷ 997 =
  8. 8.88157 ÷ 89 =
  9. 9.863553 ÷ 897 =
  10. 10.81965 ÷ 88 =
  11. 11.140766 ÷ 988 =
  12. 12.114375 ÷ 988 =
  13. 13.1426 ÷ 8 =
  14. 14.33507 ÷ 96 =
  15. 15.524807 ÷ 997 =
  16. 16.9793 ÷ 8 =
  17. 17.8120 ÷ 8 =
  18. 18.13218 ÷ 96 =
  19. 19.15907 ÷ 97 =
  20. 20.816971 ÷ 988 =
  21. 21.79225 ÷ 96 =
  22. 22.51409 ÷ 98 =
  23. 23.174292 ÷ 897 =
  24. 24.316545 ÷ 998 =
  25. 25.49649 ÷ 89 =
  26. 26.86268 ÷ 96 =
  27. 27.67792 ÷ 98 =
  28. 28.19967 ÷ 998 =
  29. 29.64418 ÷ 96 =
  30. 30.22446 ÷ 97 =
  31. 31.133620 ÷ 997 =
  32. 32.659218 ÷ 988 =
  33. 33.87450 ÷ 897 =
  34. 34.800234 ÷ 988 =
  35. 35.41893 ÷ 897 =
  36. 36.78274 ÷ 988 =
  37. 37.431116 ÷ 998 =
  38. 38.183601 ÷ 897 =
  39. 39.17485 ÷ 88 =
  40. 40.98444 ÷ 97 =

Answer key

  1. 385 rem 843
  2. 83 rem 2
  3. 470 rem 1
  4. 653 rem 171
  5. 625 rem 61
  6. 465 rem 1
  7. 211 rem 586
  8. 990 rem 47
  9. 962 rem 639
  10. 931 rem 37
  11. 142 rem 470
  12. 115 rem 755
  13. 178 rem 2
  14. 349 rem 3
  15. 526 rem 385
  16. 1224 rem 1
  17. 1015 rem 0
  18. 137 rem 66
  19. 163 rem 96
  20. 826 rem 883
  21. 825 rem 25
  22. 524 rem 57
  23. 194 rem 274
  24. 317 rem 179
  25. 557 rem 76
  26. 898 rem 60
  27. 691 rem 74
  28. 20 rem 7
  29. 671 rem 2
  30. 231 rem 39
  31. 134 rem 22
  32. 667 rem 222
  33. 97 rem 441
  34. 809 rem 942
  35. 46 rem 631
  36. 79 rem 222
  37. 431 rem 978
  38. 204 rem 613
  39. 198 rem 61
  40. 1014 rem 86

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