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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 231 · 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. 1.91405 ÷ 89 =
  2. 2.727493 ÷ 897 =
  3. 3.264272 ÷ 988 =
  4. 4.33814 ÷ 97 =
  5. 5.627719 ÷ 997 =
  6. 6.61827 ÷ 89 =
  7. 7.12018 ÷ 98 =
  8. 8.22302 ÷ 88 =
  9. 9.80980 ÷ 96 =
  10. 10.14547 ÷ 97 =
  11. 11.57715 ÷ 89 =
  12. 12.800900 ÷ 989 =
  13. 13.6480 ÷ 96 =
  14. 14.792579 ÷ 897 =
  15. 15.407420 ÷ 998 =
  16. 16.38291 ÷ 98 =
  17. 17.740750 ÷ 988 =
  18. 18.54055 ÷ 96 =
  19. 19.526215 ÷ 989 =
  20. 20.11334 ÷ 98 =
  21. 21.290765 ÷ 998 =
  22. 22.201053 ÷ 989 =
  23. 23.69933 ÷ 96 =
  24. 24.57811 ÷ 88 =
  25. 25.13478 ÷ 97 =
  26. 26.248849 ÷ 988 =
  27. 27.102498 ÷ 998 =
  28. 28.55104 ÷ 97 =
  29. 29.14834 ÷ 96 =
  30. 30.21435 ÷ 98 =
  31. 31.46116 ÷ 97 =
  32. 32.271714 ÷ 989 =
  33. 33.53655 ÷ 96 =
  34. 34.3638 ÷ 8 =
  35. 35.52287 ÷ 997 =
  36. 36.1788 ÷ 8 =
  37. 37.98464 ÷ 88 =
  38. 38.41478 ÷ 97 =
  39. 39.17037 ÷ 988 =
  40. 40.49470 ÷ 997 =

Answer key

  1. 1027 rem 2
  2. 811 rem 26
  3. 267 rem 476
  4. 348 rem 58
  5. 629 rem 606
  6. 694 rem 61
  7. 122 rem 62
  8. 253 rem 38
  9. 843 rem 52
  10. 149 rem 94
  11. 648 rem 43
  12. 809 rem 799
  13. 67 rem 48
  14. 883 rem 528
  15. 408 rem 236
  16. 390 rem 71
  17. 749 rem 738
  18. 563 rem 7
  19. 532 rem 67
  20. 115 rem 64
  21. 291 rem 347
  22. 203 rem 286
  23. 728 rem 45
  24. 656 rem 83
  25. 138 rem 92
  26. 251 rem 861
  27. 102 rem 702
  28. 568 rem 8
  29. 154 rem 50
  30. 218 rem 71
  31. 475 rem 41
  32. 274 rem 728
  33. 558 rem 87
  34. 454 rem 6
  35. 52 rem 443
  36. 223 rem 4
  37. 1118 rem 80
  38. 427 rem 59
  39. 17 rem 241
  40. 49 rem 617

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