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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 673 · 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. 1.47309 ÷ 97 =
  2. 2.10894 ÷ 97 =
  3. 3.75447 ÷ 89 =
  4. 4.3796 ÷ 89 =
  5. 5.10603 ÷ 96 =
  6. 6.96196 ÷ 96 =
  7. 7.79903 ÷ 98 =
  8. 8.641378 ÷ 897 =
  9. 9.41592 ÷ 897 =
  10. 10.115887 ÷ 988 =
  11. 11.295964 ÷ 998 =
  12. 12.72086 ÷ 98 =
  13. 13.50184 ÷ 88 =
  14. 14.164754 ÷ 989 =
  15. 15.87682 ÷ 88 =
  16. 16.266024 ÷ 998 =
  17. 17.45883 ÷ 96 =
  18. 18.781193 ÷ 998 =
  19. 19.29339 ÷ 89 =
  20. 20.21507 ÷ 97 =
  21. 21.314894 ÷ 989 =
  22. 22.764275 ÷ 998 =
  23. 23.328381 ÷ 897 =
  24. 24.879078 ÷ 988 =
  25. 25.694851 ÷ 989 =
  26. 26.85387 ÷ 88 =
  27. 27.75536 ÷ 98 =
  28. 28.68372 ÷ 89 =
  29. 29.9763 ÷ 8 =
  30. 30.367338 ÷ 989 =
  31. 31.43328 ÷ 96 =
  32. 32.64745 ÷ 96 =
  33. 33.46204 ÷ 89 =
  34. 34.28255 ÷ 96 =
  35. 35.16897 ÷ 989 =
  36. 36.34771 ÷ 98 =
  37. 37.87342 ÷ 96 =
  38. 38.87997 ÷ 88 =
  39. 39.15757 ÷ 98 =
  40. 40.6249 ÷ 8 =

Answer key

  1. 487 rem 70
  2. 112 rem 30
  3. 847 rem 64
  4. 42 rem 58
  5. 110 rem 43
  6. 1002 rem 4
  7. 815 rem 33
  8. 715 rem 23
  9. 46 rem 330
  10. 117 rem 291
  11. 296 rem 556
  12. 735 rem 56
  13. 570 rem 24
  14. 166 rem 580
  15. 996 rem 34
  16. 266 rem 556
  17. 477 rem 91
  18. 782 rem 757
  19. 329 rem 58
  20. 221 rem 70
  21. 318 rem 392
  22. 765 rem 805
  23. 366 rem 79
  24. 889 rem 746
  25. 702 rem 573
  26. 970 rem 27
  27. 770 rem 76
  28. 768 rem 20
  29. 1220 rem 3
  30. 371 rem 419
  31. 451 rem 32
  32. 674 rem 41
  33. 519 rem 13
  34. 294 rem 31
  35. 17 rem 84
  36. 354 rem 79
  37. 909 rem 78
  38. 999 rem 85
  39. 160 rem 77
  40. 781 rem 1

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