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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 461 · 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. 1.95386 ÷ 97 =
  2. 2.477107 ÷ 989 =
  3. 3.82359 ÷ 97 =
  4. 4.8175 ÷ 96 =
  5. 5.5176 ÷ 8 =
  6. 6.14860 ÷ 96 =
  7. 7.525755 ÷ 997 =
  8. 8.24245 ÷ 98 =
  9. 9.52728 ÷ 96 =
  10. 10.33782 ÷ 96 =
  11. 11.614 ÷ 8 =
  12. 12.67769 ÷ 88 =
  13. 13.752771 ÷ 988 =
  14. 14.758188 ÷ 897 =
  15. 15.485761 ÷ 997 =
  16. 16.61651 ÷ 98 =
  17. 17.738082 ÷ 989 =
  18. 18.213310 ÷ 897 =
  19. 19.963473 ÷ 897 =
  20. 20.350638 ÷ 897 =
  21. 21.336827 ÷ 988 =
  22. 22.19708 ÷ 97 =
  23. 23.27732 ÷ 97 =
  24. 24.459912 ÷ 997 =
  25. 25.3212 ÷ 8 =
  26. 26.36326 ÷ 97 =
  27. 27.2815 ÷ 96 =
  28. 28.198015 ÷ 897 =
  29. 29.75967 ÷ 998 =
  30. 30.562688 ÷ 988 =
  31. 31.49026 ÷ 97 =
  32. 32.172378 ÷ 989 =
  33. 33.41329 ÷ 96 =
  34. 34.22305 ÷ 89 =
  35. 35.66920 ÷ 88 =
  36. 36.71453 ÷ 98 =
  37. 37.906009 ÷ 997 =
  38. 38.93077 ÷ 988 =
  39. 39.90814 ÷ 89 =
  40. 40.43582 ÷ 96 =

Answer key

  1. 983 rem 35
  2. 482 rem 409
  3. 849 rem 6
  4. 85 rem 15
  5. 647 rem 0
  6. 154 rem 76
  7. 527 rem 336
  8. 247 rem 39
  9. 549 rem 24
  10. 351 rem 86
  11. 76 rem 6
  12. 770 rem 9
  13. 761 rem 903
  14. 845 rem 223
  15. 487 rem 222
  16. 629 rem 9
  17. 746 rem 288
  18. 237 rem 721
  19. 1074 rem 95
  20. 390 rem 808
  21. 340 rem 907
  22. 203 rem 17
  23. 285 rem 87
  24. 461 rem 295
  25. 401 rem 4
  26. 374 rem 48
  27. 29 rem 31
  28. 220 rem 675
  29. 76 rem 119
  30. 569 rem 516
  31. 505 rem 41
  32. 174 rem 292
  33. 430 rem 49
  34. 250 rem 55
  35. 760 rem 40
  36. 729 rem 11
  37. 908 rem 733
  38. 94 rem 205
  39. 1020 rem 34
  40. 453 rem 94

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