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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 143 · 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. 1.707551 ÷ 989 =
  2. 2.69014 ÷ 89 =
  3. 3.8999 ÷ 98 =
  4. 4.324532 ÷ 897 =
  5. 5.457318 ÷ 998 =
  6. 6.48775 ÷ 998 =
  7. 7.546771 ÷ 988 =
  8. 8.320112 ÷ 989 =
  9. 9.503546 ÷ 998 =
  10. 10.224059 ÷ 988 =
  11. 11.295581 ÷ 989 =
  12. 12.3466 ÷ 8 =
  13. 13.28242 ÷ 88 =
  14. 14.133786 ÷ 897 =
  15. 15.80775 ÷ 89 =
  16. 16.904487 ÷ 897 =
  17. 17.13642 ÷ 98 =
  18. 18.45581 ÷ 88 =
  19. 19.86677 ÷ 88 =
  20. 20.3184 ÷ 8 =
  21. 21.4248 ÷ 97 =
  22. 22.95425 ÷ 89 =
  23. 23.52692 ÷ 98 =
  24. 24.323972 ÷ 989 =
  25. 25.85612 ÷ 89 =
  26. 26.56388 ÷ 98 =
  27. 27.27758 ÷ 98 =
  28. 28.70410 ÷ 998 =
  29. 29.73246 ÷ 96 =
  30. 30.92437 ÷ 96 =
  31. 31.59377 ÷ 98 =
  32. 32.23561 ÷ 98 =
  33. 33.9952 ÷ 8 =
  34. 34.256354 ÷ 897 =
  35. 35.511833 ÷ 988 =
  36. 36.96925 ÷ 89 =
  37. 37.62569 ÷ 97 =
  38. 38.39854 ÷ 96 =
  39. 39.983379 ÷ 988 =
  40. 40.93613 ÷ 98 =

Answer key

  1. 715 rem 416
  2. 775 rem 39
  3. 91 rem 81
  4. 361 rem 715
  5. 458 rem 234
  6. 48 rem 871
  7. 553 rem 407
  8. 323 rem 665
  9. 504 rem 554
  10. 226 rem 771
  11. 298 rem 859
  12. 433 rem 2
  13. 320 rem 82
  14. 149 rem 133
  15. 907 rem 52
  16. 1008 rem 311
  17. 139 rem 20
  18. 517 rem 85
  19. 984 rem 85
  20. 398 rem 0
  21. 43 rem 77
  22. 1072 rem 17
  23. 537 rem 66
  24. 327 rem 569
  25. 961 rem 83
  26. 575 rem 38
  27. 283 rem 24
  28. 70 rem 550
  29. 762 rem 94
  30. 962 rem 85
  31. 605 rem 87
  32. 240 rem 41
  33. 1244 rem 0
  34. 285 rem 709
  35. 518 rem 49
  36. 1089 rem 4
  37. 645 rem 4
  38. 415 rem 14
  39. 995 rem 319
  40. 955 rem 23

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