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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 511 · 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. 1.649496 ÷ 989 =
  2. 2.54014 ÷ 997 =
  3. 3.60105 ÷ 88 =
  4. 4.394177 ÷ 988 =
  5. 5.196411 ÷ 997 =
  6. 6.28475 ÷ 96 =
  7. 7.959287 ÷ 997 =
  8. 8.85163 ÷ 89 =
  9. 9.3505 ÷ 8 =
  10. 10.524583 ÷ 988 =
  11. 11.48140 ÷ 96 =
  12. 12.2657 ÷ 8 =
  13. 13.79942 ÷ 88 =
  14. 14.445610 ÷ 997 =
  15. 15.361991 ÷ 997 =
  16. 16.83196 ÷ 97 =
  17. 17.65266 ÷ 997 =
  18. 18.9848 ÷ 88 =
  19. 19.3116 ÷ 8 =
  20. 20.14492 ÷ 98 =
  21. 21.85085 ÷ 88 =
  22. 22.95690 ÷ 96 =
  23. 23.91622 ÷ 98 =
  24. 24.492042 ÷ 989 =
  25. 25.780903 ÷ 989 =
  26. 26.734526 ÷ 998 =
  27. 27.9507 ÷ 98 =
  28. 28.6522 ÷ 8 =
  29. 29.31174 ÷ 97 =
  30. 30.91822 ÷ 97 =
  31. 31.58099 ÷ 97 =
  32. 32.668275 ÷ 998 =
  33. 33.113956 ÷ 989 =
  34. 34.95666 ÷ 96 =
  35. 35.7628 ÷ 97 =
  36. 36.6582 ÷ 8 =
  37. 37.740363 ÷ 897 =
  38. 38.227478 ÷ 989 =
  39. 39.39058 ÷ 96 =
  40. 40.77706 ÷ 989 =

Answer key

  1. 656 rem 712
  2. 54 rem 176
  3. 683 rem 1
  4. 398 rem 953
  5. 197 rem 2
  6. 296 rem 59
  7. 962 rem 173
  8. 956 rem 79
  9. 438 rem 1
  10. 530 rem 943
  11. 501 rem 44
  12. 332 rem 1
  13. 908 rem 38
  14. 446 rem 948
  15. 363 rem 80
  16. 857 rem 67
  17. 65 rem 461
  18. 111 rem 80
  19. 389 rem 4
  20. 147 rem 86
  21. 966 rem 77
  22. 996 rem 74
  23. 934 rem 90
  24. 497 rem 509
  25. 789 rem 582
  26. 735 rem 996
  27. 97 rem 1
  28. 815 rem 2
  29. 321 rem 37
  30. 946 rem 60
  31. 598 rem 93
  32. 669 rem 613
  33. 115 rem 221
  34. 996 rem 50
  35. 78 rem 62
  36. 822 rem 6
  37. 825 rem 338
  38. 230 rem 8
  39. 406 rem 82
  40. 78 rem 564

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