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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 394 · 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. 1.469515 ÷ 989 =
  2. 2.8092 ÷ 8 =
  3. 3.79036 ÷ 89 =
  4. 4.3027 ÷ 96 =
  5. 5.581940 ÷ 897 =
  6. 6.264674 ÷ 989 =
  7. 7.6243 ÷ 96 =
  8. 8.64360 ÷ 98 =
  9. 9.76131 ÷ 98 =
  10. 10.988582 ÷ 997 =
  11. 11.65275 ÷ 89 =
  12. 12.847133 ÷ 997 =
  13. 13.875819 ÷ 897 =
  14. 14.7932 ÷ 98 =
  15. 15.3982 ÷ 8 =
  16. 16.766019 ÷ 988 =
  17. 17.10899 ÷ 96 =
  18. 18.48743 ÷ 97 =
  19. 19.446389 ÷ 998 =
  20. 20.197737 ÷ 897 =
  21. 21.655266 ÷ 897 =
  22. 22.59211 ÷ 988 =
  23. 23.277972 ÷ 989 =
  24. 24.62642 ÷ 96 =
  25. 25.138220 ÷ 989 =
  26. 26.946536 ÷ 998 =
  27. 27.759666 ÷ 897 =
  28. 28.622526 ÷ 998 =
  29. 29.64542 ÷ 988 =
  30. 30.42180 ÷ 96 =
  31. 31.441259 ÷ 989 =
  32. 32.780185 ÷ 998 =
  33. 33.6987 ÷ 8 =
  34. 34.19124 ÷ 96 =
  35. 35.15173 ÷ 98 =
  36. 36.998339 ÷ 988 =
  37. 37.85133 ÷ 89 =
  38. 38.42175 ÷ 89 =
  39. 39.438642 ÷ 897 =
  40. 40.890472 ÷ 988 =

Answer key

  1. 474 rem 729
  2. 1011 rem 4
  3. 888 rem 4
  4. 31 rem 51
  5. 648 rem 684
  6. 267 rem 611
  7. 65 rem 3
  8. 656 rem 72
  9. 776 rem 83
  10. 991 rem 555
  11. 733 rem 38
  12. 849 rem 680
  13. 976 rem 347
  14. 80 rem 92
  15. 497 rem 6
  16. 775 rem 319
  17. 113 rem 51
  18. 502 rem 49
  19. 447 rem 283
  20. 220 rem 397
  21. 730 rem 456
  22. 59 rem 919
  23. 281 rem 63
  24. 652 rem 50
  25. 139 rem 749
  26. 948 rem 432
  27. 846 rem 804
  28. 623 rem 772
  29. 65 rem 322
  30. 439 rem 36
  31. 446 rem 165
  32. 781 rem 747
  33. 873 rem 3
  34. 199 rem 20
  35. 154 rem 81
  36. 1010 rem 459
  37. 956 rem 49
  38. 473 rem 78
  39. 489 rem 9
  40. 901 rem 284

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