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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 319 · 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. 1.64979 ÷ 97 =
  2. 2.237894 ÷ 897 =
  3. 3.515414 ÷ 988 =
  4. 4.16801 ÷ 97 =
  5. 5.266047 ÷ 989 =
  6. 6.382505 ÷ 988 =
  7. 7.407642 ÷ 897 =
  8. 8.6833 ÷ 8 =
  9. 9.62680 ÷ 98 =
  10. 10.50186 ÷ 88 =
  11. 11.454484 ÷ 998 =
  12. 12.412433 ÷ 897 =
  13. 13.22320 ÷ 97 =
  14. 14.83571 ÷ 997 =
  15. 15.63099 ÷ 97 =
  16. 16.11247 ÷ 96 =
  17. 17.58593 ÷ 98 =
  18. 18.46653 ÷ 97 =
  19. 19.972393 ÷ 897 =
  20. 20.52782 ÷ 988 =
  21. 21.8361 ÷ 8 =
  22. 22.25803 ÷ 96 =
  23. 23.637665 ÷ 988 =
  24. 24.95910 ÷ 98 =
  25. 25.698627 ÷ 897 =
  26. 26.15228 ÷ 96 =
  27. 27.92152 ÷ 96 =
  28. 28.8866 ÷ 8 =
  29. 29.33466 ÷ 97 =
  30. 30.98780 ÷ 988 =
  31. 31.157208 ÷ 997 =
  32. 32.498906 ÷ 897 =
  33. 33.138805 ÷ 897 =
  34. 34.4940 ÷ 97 =
  35. 35.20068 ÷ 98 =
  36. 36.152362 ÷ 988 =
  37. 37.33225 ÷ 97 =
  38. 38.10649 ÷ 88 =
  39. 39.1076 ÷ 8 =
  40. 40.99115 ÷ 96 =

Answer key

  1. 669 rem 86
  2. 265 rem 189
  3. 521 rem 666
  4. 173 rem 20
  5. 269 rem 6
  6. 387 rem 149
  7. 454 rem 404
  8. 854 rem 1
  9. 639 rem 58
  10. 570 rem 26
  11. 455 rem 394
  12. 459 rem 710
  13. 230 rem 10
  14. 83 rem 820
  15. 650 rem 49
  16. 117 rem 15
  17. 597 rem 87
  18. 480 rem 93
  19. 1084 rem 45
  20. 53 rem 418
  21. 1045 rem 1
  22. 268 rem 75
  23. 645 rem 405
  24. 978 rem 66
  25. 778 rem 761
  26. 158 rem 60
  27. 959 rem 88
  28. 1108 rem 2
  29. 345 rem 1
  30. 99 rem 968
  31. 157 rem 679
  32. 556 rem 174
  33. 154 rem 667
  34. 50 rem 90
  35. 204 rem 76
  36. 154 rem 210
  37. 342 rem 51
  38. 121 rem 1
  39. 134 rem 4
  40. 1032 rem 43

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