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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 713 · 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. 1.26496 ÷ 97 =
  2. 2.414896 ÷ 997 =
  3. 3.305612 ÷ 997 =
  4. 4.6770 ÷ 89 =
  5. 5.122619 ÷ 989 =
  6. 6.8385 ÷ 8 =
  7. 7.7049 ÷ 8 =
  8. 8.2367 ÷ 8 =
  9. 9.44528 ÷ 96 =
  10. 10.5818 ÷ 96 =
  11. 11.603650 ÷ 998 =
  12. 12.6008 ÷ 8 =
  13. 13.6885 ÷ 8 =
  14. 14.846062 ÷ 988 =
  15. 15.10709 ÷ 96 =
  16. 16.708125 ÷ 998 =
  17. 17.2660 ÷ 98 =
  18. 18.23246 ÷ 88 =
  19. 19.623538 ÷ 997 =
  20. 20.67636 ÷ 96 =
  21. 21.2048 ÷ 8 =
  22. 22.508762 ÷ 988 =
  23. 23.2398 ÷ 8 =
  24. 24.20864 ÷ 88 =
  25. 25.3794 ÷ 98 =
  26. 26.10058 ÷ 97 =
  27. 27.12574 ÷ 97 =
  28. 28.926785 ÷ 998 =
  29. 29.58704 ÷ 97 =
  30. 30.8898 ÷ 98 =
  31. 31.1515 ÷ 8 =
  32. 32.579654 ÷ 988 =
  33. 33.918729 ÷ 988 =
  34. 34.727783 ÷ 989 =
  35. 35.668850 ÷ 897 =
  36. 36.450059 ÷ 998 =
  37. 37.468197 ÷ 988 =
  38. 38.64221 ÷ 97 =
  39. 39.2892 ÷ 8 =
  40. 40.639255 ÷ 897 =

Answer key

  1. 273 rem 15
  2. 416 rem 144
  3. 306 rem 530
  4. 76 rem 6
  5. 123 rem 972
  6. 1048 rem 1
  7. 881 rem 1
  8. 295 rem 7
  9. 463 rem 80
  10. 60 rem 58
  11. 604 rem 858
  12. 751 rem 0
  13. 860 rem 5
  14. 856 rem 334
  15. 111 rem 53
  16. 709 rem 543
  17. 27 rem 14
  18. 264 rem 14
  19. 625 rem 413
  20. 704 rem 52
  21. 256 rem 0
  22. 514 rem 930
  23. 299 rem 6
  24. 237 rem 8
  25. 38 rem 70
  26. 103 rem 67
  27. 129 rem 61
  28. 928 rem 641
  29. 605 rem 19
  30. 90 rem 78
  31. 189 rem 3
  32. 586 rem 686
  33. 929 rem 877
  34. 735 rem 868
  35. 745 rem 585
  36. 450 rem 959
  37. 473 rem 873
  38. 662 rem 7
  39. 361 rem 4
  40. 712 rem 591

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