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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 382 · 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. 1.53658 ÷ 98 =
  2. 2.70041 ÷ 98 =
  3. 3.248656 ÷ 897 =
  4. 4.983766 ÷ 988 =
  5. 5.467627 ÷ 989 =
  6. 6.54829 ÷ 88 =
  7. 7.21034 ÷ 98 =
  8. 8.10201 ÷ 97 =
  9. 9.229037 ÷ 988 =
  10. 10.2478 ÷ 8 =
  11. 11.137279 ÷ 997 =
  12. 12.39503 ÷ 88 =
  13. 13.93935 ÷ 989 =
  14. 14.1441 ÷ 8 =
  15. 15.845868 ÷ 989 =
  16. 16.56737 ÷ 98 =
  17. 17.92580 ÷ 88 =
  18. 18.798284 ÷ 998 =
  19. 19.905229 ÷ 897 =
  20. 20.23290 ÷ 989 =
  21. 21.48701 ÷ 89 =
  22. 22.482249 ÷ 988 =
  23. 23.2783 ÷ 8 =
  24. 24.6638 ÷ 8 =
  25. 25.210468 ÷ 988 =
  26. 26.79586 ÷ 97 =
  27. 27.517870 ÷ 989 =
  28. 28.62594 ÷ 98 =
  29. 29.118539 ÷ 988 =
  30. 30.114285 ÷ 988 =
  31. 31.724219 ÷ 988 =
  32. 32.91634 ÷ 897 =
  33. 33.233341 ÷ 988 =
  34. 34.75148 ÷ 89 =
  35. 35.641497 ÷ 897 =
  36. 36.150773 ÷ 989 =
  37. 37.504483 ÷ 997 =
  38. 38.70938 ÷ 98 =
  39. 39.907087 ÷ 897 =
  40. 40.9455 ÷ 98 =

Answer key

  1. 547 rem 52
  2. 714 rem 69
  3. 277 rem 187
  4. 995 rem 706
  5. 472 rem 819
  6. 623 rem 5
  7. 214 rem 62
  8. 105 rem 16
  9. 231 rem 809
  10. 309 rem 6
  11. 137 rem 690
  12. 448 rem 79
  13. 94 rem 969
  14. 180 rem 1
  15. 855 rem 273
  16. 578 rem 93
  17. 1052 rem 4
  18. 799 rem 882
  19. 1009 rem 156
  20. 23 rem 543
  21. 547 rem 18
  22. 488 rem 105
  23. 347 rem 7
  24. 829 rem 6
  25. 213 rem 24
  26. 820 rem 46
  27. 523 rem 623
  28. 638 rem 70
  29. 119 rem 967
  30. 115 rem 665
  31. 733 rem 15
  32. 102 rem 140
  33. 236 rem 173
  34. 844 rem 32
  35. 715 rem 142
  36. 152 rem 445
  37. 506 rem 1
  38. 723 rem 84
  39. 1011 rem 220
  40. 96 rem 47

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