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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 190 · 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. 1.30645 ÷ 97 =
  2. 2.7637 ÷ 8 =
  3. 3.679522 ÷ 897 =
  4. 4.898361 ÷ 897 =
  5. 5.59374 ÷ 96 =
  6. 6.51477 ÷ 98 =
  7. 7.15251 ÷ 96 =
  8. 8.81100 ÷ 98 =
  9. 9.44896 ÷ 88 =
  10. 10.88872 ÷ 97 =
  11. 11.4053 ÷ 97 =
  12. 12.337516 ÷ 989 =
  13. 13.762964 ÷ 988 =
  14. 14.127514 ÷ 897 =
  15. 15.208417 ÷ 988 =
  16. 16.33975 ÷ 96 =
  17. 17.175573 ÷ 897 =
  18. 18.628691 ÷ 998 =
  19. 19.71653 ÷ 96 =
  20. 20.1241 ÷ 98 =
  21. 21.870 ÷ 8 =
  22. 22.314669 ÷ 997 =
  23. 23.70317 ÷ 97 =
  24. 24.904517 ÷ 988 =
  25. 25.70014 ÷ 96 =
  26. 26.33522 ÷ 97 =
  27. 27.457975 ÷ 988 =
  28. 28.77640 ÷ 89 =
  29. 29.453154 ÷ 997 =
  30. 30.905145 ÷ 988 =
  31. 31.601219 ÷ 897 =
  32. 32.63231 ÷ 97 =
  33. 33.666608 ÷ 988 =
  34. 34.690894 ÷ 998 =
  35. 35.29465 ÷ 98 =
  36. 36.5963 ÷ 8 =
  37. 37.130010 ÷ 989 =
  38. 38.825036 ÷ 989 =
  39. 39.4438 ÷ 8 =
  40. 40.94400 ÷ 89 =

Answer key

  1. 315 rem 90
  2. 954 rem 5
  3. 757 rem 493
  4. 1001 rem 464
  5. 618 rem 46
  6. 525 rem 27
  7. 158 rem 83
  8. 827 rem 54
  9. 510 rem 16
  10. 916 rem 20
  11. 41 rem 76
  12. 341 rem 267
  13. 772 rem 228
  14. 142 rem 140
  15. 210 rem 937
  16. 353 rem 87
  17. 195 rem 658
  18. 629 rem 949
  19. 746 rem 37
  20. 12 rem 65
  21. 108 rem 6
  22. 315 rem 614
  23. 724 rem 89
  24. 915 rem 497
  25. 729 rem 30
  26. 345 rem 57
  27. 463 rem 531
  28. 872 rem 32
  29. 454 rem 516
  30. 916 rem 137
  31. 670 rem 229
  32. 651 rem 84
  33. 674 rem 696
  34. 692 rem 278
  35. 300 rem 65
  36. 745 rem 3
  37. 131 rem 451
  38. 834 rem 210
  39. 554 rem 6
  40. 1060 rem 60

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