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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 134 · 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. 1.120331 ÷ 989 =
  2. 2.691767 ÷ 998 =
  3. 3.165974 ÷ 988 =
  4. 4.98499 ÷ 98 =
  5. 5.59044 ÷ 98 =
  6. 6.7185 ÷ 8 =
  7. 7.68547 ÷ 96 =
  8. 8.730346 ÷ 997 =
  9. 9.144097 ÷ 997 =
  10. 10.68272 ÷ 98 =
  11. 11.458281 ÷ 988 =
  12. 12.70454 ÷ 96 =
  13. 13.28646 ÷ 97 =
  14. 14.520225 ÷ 998 =
  15. 15.304950 ÷ 997 =
  16. 16.35383 ÷ 98 =
  17. 17.60395 ÷ 997 =
  18. 18.35814 ÷ 897 =
  19. 19.425659 ÷ 997 =
  20. 20.973456 ÷ 989 =
  21. 21.63471 ÷ 97 =
  22. 22.815869 ÷ 988 =
  23. 23.63919 ÷ 98 =
  24. 24.353233 ÷ 998 =
  25. 25.45823 ÷ 989 =
  26. 26.45170 ÷ 97 =
  27. 27.415356 ÷ 989 =
  28. 28.8227 ÷ 8 =
  29. 29.791191 ÷ 897 =
  30. 30.4448 ÷ 98 =
  31. 31.50605 ÷ 97 =
  32. 32.119974 ÷ 989 =
  33. 33.69502 ÷ 89 =
  34. 34.237166 ÷ 998 =
  35. 35.170649 ÷ 997 =
  36. 36.74485 ÷ 98 =
  37. 37.247911 ÷ 998 =
  38. 38.37172 ÷ 96 =
  39. 39.40657 ÷ 98 =
  40. 40.7360 ÷ 8 =

Answer key

  1. 121 rem 662
  2. 693 rem 153
  3. 167 rem 978
  4. 1005 rem 9
  5. 602 rem 48
  6. 898 rem 1
  7. 714 rem 3
  8. 732 rem 542
  9. 144 rem 529
  10. 696 rem 64
  11. 463 rem 837
  12. 733 rem 86
  13. 295 rem 31
  14. 521 rem 267
  15. 305 rem 865
  16. 361 rem 5
  17. 60 rem 575
  18. 39 rem 831
  19. 426 rem 937
  20. 984 rem 280
  21. 654 rem 33
  22. 825 rem 769
  23. 652 rem 23
  24. 353 rem 939
  25. 46 rem 329
  26. 465 rem 65
  27. 419 rem 965
  28. 1028 rem 3
  29. 882 rem 37
  30. 45 rem 38
  31. 521 rem 68
  32. 121 rem 305
  33. 780 rem 82
  34. 237 rem 640
  35. 171 rem 162
  36. 760 rem 5
  37. 248 rem 407
  38. 387 rem 20
  39. 414 rem 85
  40. 920 rem 0

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