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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 328 · 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. 1.16681 ÷ 98 =
  2. 2.96294 ÷ 97 =
  3. 3.9959 ÷ 8 =
  4. 4.7937 ÷ 8 =
  5. 5.82551 ÷ 96 =
  6. 6.66472 ÷ 988 =
  7. 7.510022 ÷ 989 =
  8. 8.35914 ÷ 98 =
  9. 9.80316 ÷ 96 =
  10. 10.19630 ÷ 989 =
  11. 11.750983 ÷ 998 =
  12. 12.732527 ÷ 998 =
  13. 13.85463 ÷ 88 =
  14. 14.486294 ÷ 988 =
  15. 15.20885 ÷ 98 =
  16. 16.63721 ÷ 97 =
  17. 17.186953 ÷ 997 =
  18. 18.23236 ÷ 96 =
  19. 19.764655 ÷ 997 =
  20. 20.809108 ÷ 988 =
  21. 21.11464 ÷ 97 =
  22. 22.16950 ÷ 89 =
  23. 23.97015 ÷ 88 =
  24. 24.353882 ÷ 989 =
  25. 25.4083 ÷ 8 =
  26. 26.671666 ÷ 997 =
  27. 27.97699 ÷ 88 =
  28. 28.19178 ÷ 88 =
  29. 29.953041 ÷ 997 =
  30. 30.36223 ÷ 96 =
  31. 31.68904 ÷ 897 =
  32. 32.11784 ÷ 98 =
  33. 33.9007 ÷ 8 =
  34. 34.14195 ÷ 98 =
  35. 35.268306 ÷ 897 =
  36. 36.267281 ÷ 997 =
  37. 37.775241 ÷ 998 =
  38. 38.405460 ÷ 998 =
  39. 39.24475 ÷ 97 =
  40. 40.75577 ÷ 88 =

Answer key

  1. 170 rem 21
  2. 992 rem 70
  3. 1244 rem 7
  4. 992 rem 1
  5. 859 rem 87
  6. 67 rem 276
  7. 515 rem 687
  8. 366 rem 46
  9. 836 rem 60
  10. 19 rem 839
  11. 752 rem 487
  12. 733 rem 993
  13. 971 rem 15
  14. 492 rem 198
  15. 213 rem 11
  16. 656 rem 89
  17. 187 rem 514
  18. 242 rem 4
  19. 766 rem 953
  20. 818 rem 924
  21. 118 rem 18
  22. 190 rem 40
  23. 1102 rem 39
  24. 357 rem 809
  25. 510 rem 3
  26. 673 rem 685
  27. 1110 rem 19
  28. 217 rem 82
  29. 955 rem 906
  30. 377 rem 31
  31. 76 rem 732
  32. 120 rem 24
  33. 1125 rem 7
  34. 144 rem 83
  35. 299 rem 103
  36. 268 rem 85
  37. 776 rem 793
  38. 406 rem 272
  39. 252 rem 31
  40. 858 rem 73

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