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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 711 · 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. 1.45571 ÷ 88 =
  2. 2.558767 ÷ 998 =
  3. 3.65580 ÷ 89 =
  4. 4.68788 ÷ 88 =
  5. 5.31896 ÷ 89 =
  6. 6.843752 ÷ 997 =
  7. 7.17079 ÷ 88 =
  8. 8.34324 ÷ 98 =
  9. 9.210972 ÷ 998 =
  10. 10.478109 ÷ 997 =
  11. 11.599885 ÷ 989 =
  12. 12.22464 ÷ 98 =
  13. 13.839228 ÷ 997 =
  14. 14.25161 ÷ 97 =
  15. 15.90320 ÷ 96 =
  16. 16.72103 ÷ 98 =
  17. 17.504782 ÷ 989 =
  18. 18.28589 ÷ 96 =
  19. 19.548779 ÷ 897 =
  20. 20.61907 ÷ 97 =
  21. 21.83876 ÷ 96 =
  22. 22.165012 ÷ 988 =
  23. 23.607736 ÷ 998 =
  24. 24.84202 ÷ 97 =
  25. 25.196893 ÷ 988 =
  26. 26.24343 ÷ 88 =
  27. 27.745105 ÷ 998 =
  28. 28.369218 ÷ 897 =
  29. 29.42390 ÷ 96 =
  30. 30.95616 ÷ 89 =
  31. 31.5703 ÷ 8 =
  32. 32.17030 ÷ 96 =
  33. 33.38847 ÷ 89 =
  34. 34.592497 ÷ 988 =
  35. 35.3609 ÷ 89 =
  36. 36.264584 ÷ 897 =
  37. 37.56973 ÷ 97 =
  38. 38.82001 ÷ 96 =
  39. 39.482320 ÷ 988 =
  40. 40.66287 ÷ 98 =

Answer key

  1. 517 rem 75
  2. 559 rem 885
  3. 736 rem 76
  4. 781 rem 60
  5. 358 rem 34
  6. 846 rem 290
  7. 194 rem 7
  8. 350 rem 24
  9. 211 rem 394
  10. 479 rem 546
  11. 606 rem 551
  12. 229 rem 22
  13. 841 rem 751
  14. 259 rem 38
  15. 940 rem 80
  16. 735 rem 73
  17. 510 rem 392
  18. 297 rem 77
  19. 611 rem 712
  20. 638 rem 21
  21. 873 rem 68
  22. 167 rem 16
  23. 608 rem 952
  24. 868 rem 6
  25. 199 rem 281
  26. 276 rem 55
  27. 746 rem 597
  28. 411 rem 551
  29. 441 rem 54
  30. 1074 rem 30
  31. 712 rem 7
  32. 177 rem 38
  33. 436 rem 43
  34. 599 rem 685
  35. 40 rem 49
  36. 294 rem 866
  37. 587 rem 34
  38. 854 rem 17
  39. 488 rem 176
  40. 676 rem 39

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