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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 895 · 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. 1.10972 ÷ 89 =
  2. 2.634689 ÷ 988 =
  3. 3.970829 ÷ 998 =
  4. 4.852735 ÷ 988 =
  5. 5.188681 ÷ 989 =
  6. 6.71387 ÷ 96 =
  7. 7.808288 ÷ 997 =
  8. 8.866278 ÷ 989 =
  9. 9.10487 ÷ 96 =
  10. 10.9337 ÷ 96 =
  11. 11.970561 ÷ 997 =
  12. 12.713157 ÷ 998 =
  13. 13.228185 ÷ 997 =
  14. 14.61796 ÷ 97 =
  15. 15.314874 ÷ 989 =
  16. 16.784219 ÷ 897 =
  17. 17.97962 ÷ 98 =
  18. 18.8217 ÷ 8 =
  19. 19.42975 ÷ 89 =
  20. 20.89879 ÷ 97 =
  21. 21.90817 ÷ 97 =
  22. 22.425025 ÷ 998 =
  23. 23.66717 ÷ 988 =
  24. 24.50220 ÷ 89 =
  25. 25.1793 ÷ 97 =
  26. 26.840958 ÷ 997 =
  27. 27.22853 ÷ 89 =
  28. 28.44879 ÷ 997 =
  29. 29.47651 ÷ 88 =
  30. 30.46388 ÷ 97 =
  31. 31.16116 ÷ 98 =
  32. 32.963032 ÷ 997 =
  33. 33.505678 ÷ 997 =
  34. 34.234502 ÷ 997 =
  35. 35.17376 ÷ 88 =
  36. 36.44867 ÷ 89 =
  37. 37.678307 ÷ 998 =
  38. 38.1950 ÷ 8 =
  39. 39.57030 ÷ 97 =
  40. 40.639265 ÷ 989 =

Answer key

  1. 123 rem 25
  2. 642 rem 393
  3. 972 rem 773
  4. 863 rem 91
  5. 190 rem 771
  6. 743 rem 59
  7. 810 rem 718
  8. 875 rem 903
  9. 109 rem 23
  10. 97 rem 25
  11. 973 rem 480
  12. 714 rem 585
  13. 228 rem 869
  14. 637 rem 7
  15. 318 rem 372
  16. 874 rem 241
  17. 999 rem 60
  18. 1027 rem 1
  19. 482 rem 77
  20. 926 rem 57
  21. 936 rem 25
  22. 425 rem 875
  23. 67 rem 521
  24. 564 rem 24
  25. 18 rem 47
  26. 843 rem 487
  27. 256 rem 69
  28. 45 rem 14
  29. 541 rem 43
  30. 478 rem 22
  31. 164 rem 44
  32. 965 rem 927
  33. 507 rem 199
  34. 235 rem 207
  35. 197 rem 40
  36. 504 rem 11
  37. 679 rem 665
  38. 243 rem 6
  39. 587 rem 91
  40. 646 rem 371

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