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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 42 · 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. 1.15646 ÷ 89 =
  2. 2.20825 ÷ 96 =
  3. 3.344952 ÷ 897 =
  4. 4.60493 ÷ 89 =
  5. 5.464149 ÷ 998 =
  6. 6.24796 ÷ 89 =
  7. 7.224930 ÷ 989 =
  8. 8.15902 ÷ 97 =
  9. 9.5517 ÷ 8 =
  10. 10.135132 ÷ 897 =
  11. 11.22964 ÷ 89 =
  12. 12.314825 ÷ 988 =
  13. 13.80853 ÷ 97 =
  14. 14.363833 ÷ 998 =
  15. 15.73571 ÷ 98 =
  16. 16.402576 ÷ 998 =
  17. 17.83300 ÷ 89 =
  18. 18.443294 ÷ 988 =
  19. 19.97831 ÷ 97 =
  20. 20.76362 ÷ 98 =
  21. 21.215888 ÷ 997 =
  22. 22.65411 ÷ 96 =
  23. 23.712636 ÷ 998 =
  24. 24.11747 ÷ 88 =
  25. 25.770403 ÷ 998 =
  26. 26.97037 ÷ 96 =
  27. 27.74779 ÷ 98 =
  28. 28.23817 ÷ 89 =
  29. 29.142064 ÷ 989 =
  30. 30.33743 ÷ 98 =
  31. 31.553752 ÷ 988 =
  32. 32.30259 ÷ 96 =
  33. 33.88205 ÷ 988 =
  34. 34.949040 ÷ 988 =
  35. 35.220128 ÷ 897 =
  36. 36.498507 ÷ 988 =
  37. 37.76454 ÷ 89 =
  38. 38.56323 ÷ 96 =
  39. 39.62812 ÷ 98 =
  40. 40.802858 ÷ 897 =

Answer key

  1. 175 rem 71
  2. 216 rem 89
  3. 384 rem 504
  4. 679 rem 62
  5. 465 rem 79
  6. 278 rem 54
  7. 227 rem 427
  8. 163 rem 91
  9. 689 rem 5
  10. 150 rem 582
  11. 258 rem 2
  12. 318 rem 641
  13. 833 rem 52
  14. 364 rem 561
  15. 750 rem 71
  16. 403 rem 382
  17. 935 rem 85
  18. 448 rem 670
  19. 1008 rem 55
  20. 779 rem 20
  21. 216 rem 536
  22. 681 rem 35
  23. 714 rem 64
  24. 133 rem 43
  25. 771 rem 945
  26. 1010 rem 77
  27. 763 rem 5
  28. 267 rem 54
  29. 143 rem 637
  30. 344 rem 31
  31. 560 rem 472
  32. 315 rem 19
  33. 89 rem 273
  34. 960 rem 560
  35. 245 rem 363
  36. 504 rem 555
  37. 859 rem 3
  38. 586 rem 67
  39. 640 rem 92
  40. 895 rem 43

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