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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 16 · 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. 1.447206 ÷ 998 =
  2. 2.761390 ÷ 897 =
  3. 3.181398 ÷ 989 =
  4. 4.86862 ÷ 97 =
  5. 5.66694 ÷ 88 =
  6. 6.34177 ÷ 998 =
  7. 7.8057 ÷ 97 =
  8. 8.515536 ÷ 988 =
  9. 9.5745 ÷ 8 =
  10. 10.97096 ÷ 98 =
  11. 11.63512 ÷ 89 =
  12. 12.906523 ÷ 998 =
  13. 13.84537 ÷ 97 =
  14. 14.719727 ÷ 897 =
  15. 15.8418 ÷ 98 =
  16. 16.31123 ÷ 897 =
  17. 17.80083 ÷ 88 =
  18. 18.92869 ÷ 89 =
  19. 19.48830 ÷ 98 =
  20. 20.3549 ÷ 8 =
  21. 21.72775 ÷ 88 =
  22. 22.668342 ÷ 989 =
  23. 23.124443 ÷ 998 =
  24. 24.38587 ÷ 88 =
  25. 25.672858 ÷ 897 =
  26. 26.30369 ÷ 96 =
  27. 27.395118 ÷ 989 =
  28. 28.969719 ÷ 998 =
  29. 29.70435 ÷ 97 =
  30. 30.187633 ÷ 997 =
  31. 31.667291 ÷ 897 =
  32. 32.824015 ÷ 997 =
  33. 33.683733 ÷ 989 =
  34. 34.24444 ÷ 98 =
  35. 35.10996 ÷ 89 =
  36. 36.80146 ÷ 96 =
  37. 37.12844 ÷ 96 =
  38. 38.158174 ÷ 998 =
  39. 39.65435 ÷ 97 =
  40. 40.560031 ÷ 897 =

Answer key

  1. 448 rem 102
  2. 848 rem 734
  3. 183 rem 411
  4. 895 rem 47
  5. 757 rem 78
  6. 34 rem 245
  7. 83 rem 6
  8. 521 rem 788
  9. 718 rem 1
  10. 990 rem 76
  11. 713 rem 55
  12. 908 rem 339
  13. 871 rem 50
  14. 802 rem 333
  15. 85 rem 88
  16. 34 rem 625
  17. 910 rem 3
  18. 1043 rem 42
  19. 498 rem 26
  20. 443 rem 5
  21. 826 rem 87
  22. 675 rem 767
  23. 124 rem 691
  24. 438 rem 43
  25. 750 rem 108
  26. 316 rem 33
  27. 399 rem 507
  28. 971 rem 661
  29. 726 rem 13
  30. 188 rem 197
  31. 743 rem 820
  32. 826 rem 493
  33. 691 rem 334
  34. 249 rem 42
  35. 123 rem 49
  36. 834 rem 82
  37. 133 rem 76
  38. 158 rem 490
  39. 674 rem 57
  40. 624 rem 303

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