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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 695 · 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. 1.43679 ÷ 96 =
  2. 2.295616 ÷ 989 =
  3. 3.83046 ÷ 98 =
  4. 4.594954 ÷ 897 =
  5. 5.9611 ÷ 96 =
  6. 6.763179 ÷ 997 =
  7. 7.31414 ÷ 97 =
  8. 8.749676 ÷ 988 =
  9. 9.281515 ÷ 897 =
  10. 10.197940 ÷ 997 =
  11. 11.17966 ÷ 89 =
  12. 12.97885 ÷ 96 =
  13. 13.853733 ÷ 988 =
  14. 14.85112 ÷ 97 =
  15. 15.71347 ÷ 97 =
  16. 16.45102 ÷ 98 =
  17. 17.86734 ÷ 98 =
  18. 18.141950 ÷ 988 =
  19. 19.54673 ÷ 989 =
  20. 20.531436 ÷ 897 =
  21. 21.499487 ÷ 897 =
  22. 22.15437 ÷ 96 =
  23. 23.4819 ÷ 8 =
  24. 24.661582 ÷ 897 =
  25. 25.200450 ÷ 997 =
  26. 26.41940 ÷ 88 =
  27. 27.74858 ÷ 97 =
  28. 28.947520 ÷ 998 =
  29. 29.882289 ÷ 989 =
  30. 30.446755 ÷ 998 =
  31. 31.34360 ÷ 96 =
  32. 32.75955 ÷ 96 =
  33. 33.77536 ÷ 98 =
  34. 34.665368 ÷ 897 =
  35. 35.403574 ÷ 989 =
  36. 36.79224 ÷ 97 =
  37. 37.11918 ÷ 98 =
  38. 38.62011 ÷ 98 =
  39. 39.6284 ÷ 8 =
  40. 40.644840 ÷ 997 =

Answer key

  1. 454 rem 95
  2. 298 rem 894
  3. 847 rem 40
  4. 663 rem 243
  5. 100 rem 11
  6. 765 rem 474
  7. 323 rem 83
  8. 758 rem 772
  9. 313 rem 754
  10. 198 rem 534
  11. 201 rem 77
  12. 1019 rem 61
  13. 864 rem 101
  14. 877 rem 43
  15. 735 rem 52
  16. 460 rem 22
  17. 885 rem 4
  18. 143 rem 666
  19. 55 rem 278
  20. 592 rem 412
  21. 556 rem 755
  22. 160 rem 77
  23. 602 rem 3
  24. 737 rem 493
  25. 201 rem 53
  26. 476 rem 52
  27. 771 rem 71
  28. 949 rem 418
  29. 892 rem 101
  30. 447 rem 649
  31. 357 rem 88
  32. 791 rem 19
  33. 791 rem 18
  34. 741 rem 691
  35. 408 rem 62
  36. 816 rem 72
  37. 121 rem 60
  38. 632 rem 75
  39. 785 rem 4
  40. 646 rem 778

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