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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 207 · 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. 1.56072 ÷ 97 =
  2. 2.158889 ÷ 897 =
  3. 3.40846 ÷ 96 =
  4. 4.120219 ÷ 997 =
  5. 5.504717 ÷ 897 =
  6. 6.585262 ÷ 989 =
  7. 7.605 ÷ 8 =
  8. 8.909243 ÷ 989 =
  9. 9.726944 ÷ 988 =
  10. 10.11690 ÷ 97 =
  11. 11.1045 ÷ 8 =
  12. 12.617954 ÷ 897 =
  13. 13.74452 ÷ 97 =
  14. 14.512705 ÷ 998 =
  15. 15.831 ÷ 8 =
  16. 16.752982 ÷ 998 =
  17. 17.354560 ÷ 997 =
  18. 18.57705 ÷ 88 =
  19. 19.79399 ÷ 997 =
  20. 20.79719 ÷ 98 =
  21. 21.13771 ÷ 98 =
  22. 22.894652 ÷ 989 =
  23. 23.26121 ÷ 98 =
  24. 24.669951 ÷ 988 =
  25. 25.97634 ÷ 997 =
  26. 26.87559 ÷ 97 =
  27. 27.30002 ÷ 98 =
  28. 28.21245 ÷ 997 =
  29. 29.377631 ÷ 998 =
  30. 30.91850 ÷ 97 =
  31. 31.184 ÷ 8 =
  32. 32.90291 ÷ 988 =
  33. 33.616658 ÷ 988 =
  34. 34.65652 ÷ 96 =
  35. 35.14469 ÷ 96 =
  36. 36.24257 ÷ 96 =
  37. 37.318660 ÷ 998 =
  38. 38.78354 ÷ 89 =
  39. 39.869895 ÷ 989 =
  40. 40.182704 ÷ 989 =

Answer key

  1. 578 rem 6
  2. 177 rem 120
  3. 425 rem 46
  4. 120 rem 579
  5. 562 rem 603
  6. 591 rem 763
  7. 75 rem 5
  8. 919 rem 352
  9. 735 rem 764
  10. 120 rem 50
  11. 130 rem 5
  12. 688 rem 818
  13. 767 rem 53
  14. 513 rem 731
  15. 103 rem 7
  16. 754 rem 490
  17. 355 rem 625
  18. 655 rem 65
  19. 79 rem 636
  20. 813 rem 45
  21. 140 rem 51
  22. 904 rem 596
  23. 266 rem 53
  24. 678 rem 87
  25. 97 rem 925
  26. 902 rem 65
  27. 306 rem 14
  28. 21 rem 308
  29. 378 rem 387
  30. 946 rem 88
  31. 23 rem 0
  32. 91 rem 383
  33. 624 rem 146
  34. 683 rem 84
  35. 150 rem 69
  36. 252 rem 65
  37. 319 rem 298
  38. 880 rem 34
  39. 879 rem 564
  40. 184 rem 728

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