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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 448 · 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. 1.757045 ÷ 989 =
  2. 2.410468 ÷ 988 =
  3. 3.911677 ÷ 988 =
  4. 4.85609 ÷ 89 =
  5. 5.74033 ÷ 96 =
  6. 6.486328 ÷ 997 =
  7. 7.2643 ÷ 96 =
  8. 8.219179 ÷ 988 =
  9. 9.94141 ÷ 98 =
  10. 10.8703 ÷ 96 =
  11. 11.38764 ÷ 897 =
  12. 12.991892 ÷ 989 =
  13. 13.93421 ÷ 97 =
  14. 14.94990 ÷ 997 =
  15. 15.517427 ÷ 997 =
  16. 16.560157 ÷ 998 =
  17. 17.848103 ÷ 997 =
  18. 18.15847 ÷ 98 =
  19. 19.8460 ÷ 98 =
  20. 20.61713 ÷ 988 =
  21. 21.506685 ÷ 988 =
  22. 22.7975 ÷ 8 =
  23. 23.16583 ÷ 98 =
  24. 24.33744 ÷ 98 =
  25. 25.519160 ÷ 998 =
  26. 26.716922 ÷ 997 =
  27. 27.12203 ÷ 89 =
  28. 28.9252 ÷ 8 =
  29. 29.953959 ÷ 988 =
  30. 30.769169 ÷ 997 =
  31. 31.4265 ÷ 89 =
  32. 32.49114 ÷ 88 =
  33. 33.363092 ÷ 997 =
  34. 34.38954 ÷ 96 =
  35. 35.81409 ÷ 88 =
  36. 36.147351 ÷ 997 =
  37. 37.3349 ÷ 8 =
  38. 38.58863 ÷ 89 =
  39. 39.165889 ÷ 997 =
  40. 40.128626 ÷ 998 =

Answer key

  1. 765 rem 460
  2. 415 rem 448
  3. 922 rem 741
  4. 961 rem 80
  5. 771 rem 17
  6. 487 rem 789
  7. 27 rem 51
  8. 221 rem 831
  9. 960 rem 61
  10. 90 rem 63
  11. 43 rem 193
  12. 1002 rem 914
  13. 963 rem 10
  14. 95 rem 275
  15. 518 rem 981
  16. 561 rem 279
  17. 850 rem 653
  18. 161 rem 69
  19. 86 rem 32
  20. 62 rem 457
  21. 512 rem 829
  22. 996 rem 7
  23. 169 rem 21
  24. 344 rem 32
  25. 520 rem 200
  26. 719 rem 79
  27. 137 rem 10
  28. 1156 rem 4
  29. 965 rem 539
  30. 771 rem 482
  31. 47 rem 82
  32. 558 rem 10
  33. 364 rem 184
  34. 405 rem 74
  35. 925 rem 9
  36. 147 rem 792
  37. 418 rem 5
  38. 661 rem 34
  39. 166 rem 387
  40. 128 rem 882

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