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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 841 · 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. 1.471143 ÷ 998 =
  2. 2.88868 ÷ 998 =
  3. 3.68970 ÷ 98 =
  4. 4.25340 ÷ 89 =
  5. 5.935896 ÷ 998 =
  6. 6.80546 ÷ 96 =
  7. 7.2784 ÷ 8 =
  8. 8.390988 ÷ 988 =
  9. 9.211902 ÷ 989 =
  10. 10.6150 ÷ 8 =
  11. 11.67142 ÷ 89 =
  12. 12.229952 ÷ 989 =
  13. 13.18471 ÷ 97 =
  14. 14.72242 ÷ 97 =
  15. 15.768206 ÷ 997 =
  16. 16.81849 ÷ 96 =
  17. 17.529044 ÷ 997 =
  18. 18.4222 ÷ 8 =
  19. 19.32548 ÷ 96 =
  20. 20.625307 ÷ 897 =
  21. 21.297482 ÷ 897 =
  22. 22.54447 ÷ 97 =
  23. 23.977395 ÷ 988 =
  24. 24.229882 ÷ 997 =
  25. 25.648045 ÷ 988 =
  26. 26.39757 ÷ 98 =
  27. 27.988358 ÷ 998 =
  28. 28.66054 ÷ 98 =
  29. 29.150302 ÷ 989 =
  30. 30.19064 ÷ 997 =
  31. 31.36074 ÷ 96 =
  32. 32.9941 ÷ 8 =
  33. 33.455680 ÷ 998 =
  34. 34.33954 ÷ 89 =
  35. 35.82063 ÷ 97 =
  36. 36.272846 ÷ 989 =
  37. 37.248842 ÷ 998 =
  38. 38.278944 ÷ 988 =
  39. 39.5562 ÷ 8 =
  40. 40.822290 ÷ 998 =

Answer key

  1. 472 rem 87
  2. 89 rem 46
  3. 703 rem 76
  4. 284 rem 64
  5. 937 rem 770
  6. 839 rem 2
  7. 348 rem 0
  8. 395 rem 728
  9. 214 rem 256
  10. 768 rem 6
  11. 754 rem 36
  12. 232 rem 504
  13. 190 rem 41
  14. 744 rem 74
  15. 770 rem 516
  16. 852 rem 57
  17. 530 rem 634
  18. 527 rem 6
  19. 339 rem 4
  20. 697 rem 98
  21. 331 rem 575
  22. 561 rem 30
  23. 989 rem 263
  24. 230 rem 572
  25. 655 rem 905
  26. 405 rem 67
  27. 990 rem 338
  28. 674 rem 2
  29. 151 rem 963
  30. 19 rem 121
  31. 375 rem 74
  32. 1242 rem 5
  33. 456 rem 592
  34. 381 rem 45
  35. 846 rem 1
  36. 275 rem 871
  37. 249 rem 340
  38. 282 rem 328
  39. 695 rem 2
  40. 823 rem 936

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