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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 71 · 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. 1.280919 ÷ 989 =
  2. 2.428926 ÷ 997 =
  3. 3.48204 ÷ 989 =
  4. 4.6441 ÷ 8 =
  5. 5.9435 ÷ 96 =
  6. 6.92645 ÷ 97 =
  7. 7.878260 ÷ 997 =
  8. 8.96652 ÷ 98 =
  9. 9.89846 ÷ 97 =
  10. 10.402935 ÷ 998 =
  11. 11.287387 ÷ 998 =
  12. 12.2349 ÷ 89 =
  13. 13.8202 ÷ 97 =
  14. 14.62935 ÷ 98 =
  15. 15.6673 ÷ 8 =
  16. 16.299388 ÷ 989 =
  17. 17.5972 ÷ 8 =
  18. 18.154364 ÷ 989 =
  19. 19.55877 ÷ 97 =
  20. 20.88349 ÷ 98 =
  21. 21.43153 ÷ 98 =
  22. 22.78234 ÷ 88 =
  23. 23.53248 ÷ 96 =
  24. 24.83348 ÷ 89 =
  25. 25.25572 ÷ 96 =
  26. 26.95841 ÷ 88 =
  27. 27.76162 ÷ 97 =
  28. 28.17713 ÷ 89 =
  29. 29.101379 ÷ 989 =
  30. 30.290826 ÷ 897 =
  31. 31.20817 ÷ 97 =
  32. 32.1686 ÷ 8 =
  33. 33.34169 ÷ 98 =
  34. 34.8307 ÷ 8 =
  35. 35.478656 ÷ 897 =
  36. 36.711734 ÷ 897 =
  37. 37.79433 ÷ 88 =
  38. 38.40571 ÷ 97 =
  39. 39.38757 ÷ 98 =
  40. 40.89884 ÷ 98 =

Answer key

  1. 284 rem 43
  2. 430 rem 216
  3. 48 rem 732
  4. 805 rem 1
  5. 98 rem 27
  6. 955 rem 10
  7. 880 rem 900
  8. 986 rem 24
  9. 926 rem 24
  10. 403 rem 741
  11. 287 rem 961
  12. 26 rem 35
  13. 84 rem 54
  14. 642 rem 19
  15. 834 rem 1
  16. 302 rem 710
  17. 746 rem 4
  18. 156 rem 80
  19. 576 rem 5
  20. 901 rem 51
  21. 440 rem 33
  22. 889 rem 2
  23. 554 rem 64
  24. 936 rem 44
  25. 266 rem 36
  26. 1089 rem 9
  27. 785 rem 17
  28. 199 rem 2
  29. 102 rem 501
  30. 324 rem 198
  31. 214 rem 59
  32. 210 rem 6
  33. 348 rem 65
  34. 1038 rem 3
  35. 533 rem 555
  36. 793 rem 413
  37. 902 rem 57
  38. 418 rem 25
  39. 395 rem 47
  40. 917 rem 18

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