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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 763 · 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. 1.323298 ÷ 989 =
  2. 2.1123 ÷ 97 =
  3. 3.87517 ÷ 97 =
  4. 4.28995 ÷ 98 =
  5. 5.487071 ÷ 998 =
  6. 6.86458 ÷ 998 =
  7. 7.467300 ÷ 997 =
  8. 8.296981 ÷ 988 =
  9. 9.480923 ÷ 989 =
  10. 10.13942 ÷ 89 =
  11. 11.237159 ÷ 988 =
  12. 12.33237 ÷ 89 =
  13. 13.320721 ÷ 997 =
  14. 14.625631 ÷ 989 =
  15. 15.60865 ÷ 998 =
  16. 16.41872 ÷ 96 =
  17. 17.831713 ÷ 988 =
  18. 18.48745 ÷ 97 =
  19. 19.48115 ÷ 89 =
  20. 20.34450 ÷ 97 =
  21. 21.4206 ÷ 97 =
  22. 22.4525 ÷ 8 =
  23. 23.4945 ÷ 96 =
  24. 24.567899 ÷ 897 =
  25. 25.91869 ÷ 97 =
  26. 26.713718 ÷ 998 =
  27. 27.40963 ÷ 89 =
  28. 28.15835 ÷ 88 =
  29. 29.89279 ÷ 89 =
  30. 30.790006 ÷ 998 =
  31. 31.983730 ÷ 997 =
  32. 32.592689 ÷ 897 =
  33. 33.76633 ÷ 97 =
  34. 34.74019 ÷ 88 =
  35. 35.991594 ÷ 988 =
  36. 36.734528 ÷ 998 =
  37. 37.862773 ÷ 998 =
  38. 38.8378 ÷ 8 =
  39. 39.189103 ÷ 988 =
  40. 40.440873 ÷ 989 =

Answer key

  1. 326 rem 884
  2. 11 rem 56
  3. 902 rem 23
  4. 295 rem 85
  5. 488 rem 47
  6. 86 rem 630
  7. 468 rem 704
  8. 300 rem 581
  9. 486 rem 269
  10. 156 rem 58
  11. 240 rem 39
  12. 373 rem 40
  13. 321 rem 684
  14. 632 rem 583
  15. 60 rem 985
  16. 436 rem 16
  17. 841 rem 805
  18. 502 rem 51
  19. 540 rem 55
  20. 355 rem 15
  21. 43 rem 35
  22. 565 rem 5
  23. 51 rem 49
  24. 633 rem 98
  25. 947 rem 10
  26. 715 rem 148
  27. 460 rem 23
  28. 179 rem 83
  29. 1003 rem 12
  30. 791 rem 588
  31. 986 rem 688
  32. 660 rem 669
  33. 790 rem 3
  34. 841 rem 11
  35. 1003 rem 630
  36. 736 rem 0
  37. 864 rem 501
  38. 1047 rem 2
  39. 191 rem 395
  40. 445 rem 768

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