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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 479 · 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. 1.39172 ÷ 97 =
  2. 2.378212 ÷ 997 =
  3. 3.39700 ÷ 98 =
  4. 4.407540 ÷ 998 =
  5. 5.22998 ÷ 96 =
  6. 6.870776 ÷ 988 =
  7. 7.49790 ÷ 98 =
  8. 8.98004 ÷ 96 =
  9. 9.650615 ÷ 988 =
  10. 10.60506 ÷ 89 =
  11. 11.593106 ÷ 897 =
  12. 12.133562 ÷ 897 =
  13. 13.874922 ÷ 897 =
  14. 14.941490 ÷ 988 =
  15. 15.225749 ÷ 897 =
  16. 16.160779 ÷ 997 =
  17. 17.240869 ÷ 989 =
  18. 18.111830 ÷ 897 =
  19. 19.82337 ÷ 88 =
  20. 20.118548 ÷ 988 =
  21. 21.97848 ÷ 998 =
  22. 22.16249 ÷ 97 =
  23. 23.94639 ÷ 88 =
  24. 24.333799 ÷ 988 =
  25. 25.909505 ÷ 988 =
  26. 26.8842 ÷ 8 =
  27. 27.39735 ÷ 96 =
  28. 28.453221 ÷ 988 =
  29. 29.157464 ÷ 997 =
  30. 30.63661 ÷ 88 =
  31. 31.338437 ÷ 989 =
  32. 32.853309 ÷ 988 =
  33. 33.925627 ÷ 998 =
  34. 34.81899 ÷ 998 =
  35. 35.804195 ÷ 988 =
  36. 36.894233 ÷ 998 =
  37. 37.118301 ÷ 998 =
  38. 38.38987 ÷ 98 =
  39. 39.51369 ÷ 88 =
  40. 40.118439 ÷ 998 =

Answer key

  1. 403 rem 81
  2. 379 rem 349
  3. 405 rem 10
  4. 408 rem 356
  5. 239 rem 54
  6. 881 rem 348
  7. 508 rem 6
  8. 1020 rem 84
  9. 658 rem 511
  10. 679 rem 75
  11. 661 rem 189
  12. 148 rem 806
  13. 975 rem 347
  14. 952 rem 914
  15. 251 rem 602
  16. 161 rem 262
  17. 243 rem 542
  18. 124 rem 602
  19. 935 rem 57
  20. 119 rem 976
  21. 98 rem 44
  22. 167 rem 50
  23. 1075 rem 39
  24. 337 rem 843
  25. 920 rem 545
  26. 1105 rem 2
  27. 413 rem 87
  28. 458 rem 717
  29. 157 rem 935
  30. 723 rem 37
  31. 342 rem 199
  32. 863 rem 665
  33. 927 rem 481
  34. 82 rem 63
  35. 813 rem 951
  36. 896 rem 25
  37. 118 rem 537
  38. 397 rem 81
  39. 583 rem 65
  40. 118 rem 675

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