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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 313 · 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. 1.9308 ÷ 8 =
  2. 2.667090 ÷ 988 =
  3. 3.57285 ÷ 88 =
  4. 4.66094 ÷ 98 =
  5. 5.95845 ÷ 97 =
  6. 6.60153 ÷ 98 =
  7. 7.2150 ÷ 88 =
  8. 8.48487 ÷ 997 =
  9. 9.596336 ÷ 988 =
  10. 10.23790 ÷ 98 =
  11. 11.4325 ÷ 8 =
  12. 12.53874 ÷ 96 =
  13. 13.307531 ÷ 989 =
  14. 14.692655 ÷ 989 =
  15. 15.376668 ÷ 998 =
  16. 16.18079 ÷ 97 =
  17. 17.467997 ÷ 998 =
  18. 18.817014 ÷ 989 =
  19. 19.430465 ÷ 989 =
  20. 20.14072 ÷ 96 =
  21. 21.88722 ÷ 98 =
  22. 22.99185 ÷ 88 =
  23. 23.759686 ÷ 988 =
  24. 24.78009 ÷ 88 =
  25. 25.16882 ÷ 89 =
  26. 26.39496 ÷ 98 =
  27. 27.722453 ÷ 998 =
  28. 28.364296 ÷ 989 =
  29. 29.914975 ÷ 998 =
  30. 30.27568 ÷ 98 =
  31. 31.117913 ÷ 989 =
  32. 32.229452 ÷ 989 =
  33. 33.78384 ÷ 89 =
  34. 34.291615 ÷ 997 =
  35. 35.12282 ÷ 88 =
  36. 36.685830 ÷ 998 =
  37. 37.638751 ÷ 988 =
  38. 38.82653 ÷ 98 =
  39. 39.67241 ÷ 98 =
  40. 40.372697 ÷ 997 =

Answer key

  1. 1163 rem 4
  2. 675 rem 190
  3. 650 rem 85
  4. 674 rem 42
  5. 988 rem 9
  6. 613 rem 79
  7. 24 rem 38
  8. 48 rem 631
  9. 603 rem 572
  10. 242 rem 74
  11. 540 rem 5
  12. 561 rem 18
  13. 310 rem 941
  14. 700 rem 355
  15. 377 rem 422
  16. 186 rem 37
  17. 468 rem 933
  18. 826 rem 100
  19. 435 rem 250
  20. 146 rem 56
  21. 905 rem 32
  22. 1127 rem 9
  23. 768 rem 902
  24. 886 rem 41
  25. 189 rem 61
  26. 403 rem 2
  27. 723 rem 899
  28. 368 rem 344
  29. 916 rem 807
  30. 281 rem 30
  31. 119 rem 222
  32. 232 rem 4
  33. 880 rem 64
  34. 292 rem 491
  35. 139 rem 50
  36. 687 rem 204
  37. 646 rem 503
  38. 843 rem 39
  39. 686 rem 13
  40. 373 rem 816

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