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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 286 · 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. 1.61482 ÷ 98 =
  2. 2.475660 ÷ 897 =
  3. 3.92474 ÷ 96 =
  4. 4.74439 ÷ 98 =
  5. 5.65484 ÷ 97 =
  6. 6.597 ÷ 8 =
  7. 7.518231 ÷ 989 =
  8. 8.22552 ÷ 89 =
  9. 9.46100 ÷ 98 =
  10. 10.90931 ÷ 98 =
  11. 11.44007 ÷ 997 =
  12. 12.90889 ÷ 997 =
  13. 13.703120 ÷ 988 =
  14. 14.4998 ÷ 98 =
  15. 15.54466 ÷ 96 =
  16. 16.89791 ÷ 88 =
  17. 17.15755 ÷ 98 =
  18. 18.78277 ÷ 89 =
  19. 19.940629 ÷ 897 =
  20. 20.224247 ÷ 997 =
  21. 21.494385 ÷ 988 =
  22. 22.89916 ÷ 89 =
  23. 23.45858 ÷ 89 =
  24. 24.13882 ÷ 98 =
  25. 25.202508 ÷ 897 =
  26. 26.699650 ÷ 988 =
  27. 27.91686 ÷ 98 =
  28. 28.764918 ÷ 989 =
  29. 29.67901 ÷ 97 =
  30. 30.5491 ÷ 8 =
  31. 31.6595 ÷ 8 =
  32. 32.853696 ÷ 989 =
  33. 33.62587 ÷ 89 =
  34. 34.12480 ÷ 89 =
  35. 35.67794 ÷ 88 =
  36. 36.259687 ÷ 989 =
  37. 37.16588 ÷ 98 =
  38. 38.324705 ÷ 988 =
  39. 39.9828 ÷ 8 =
  40. 40.71359 ÷ 97 =

Answer key

  1. 627 rem 36
  2. 530 rem 250
  3. 963 rem 26
  4. 759 rem 57
  5. 675 rem 9
  6. 74 rem 5
  7. 523 rem 984
  8. 253 rem 35
  9. 470 rem 40
  10. 927 rem 85
  11. 44 rem 139
  12. 91 rem 162
  13. 711 rem 652
  14. 51 rem 0
  15. 567 rem 34
  16. 1020 rem 31
  17. 160 rem 75
  18. 879 rem 46
  19. 1048 rem 573
  20. 224 rem 919
  21. 500 rem 385
  22. 1010 rem 26
  23. 515 rem 23
  24. 141 rem 64
  25. 225 rem 683
  26. 708 rem 146
  27. 935 rem 56
  28. 773 rem 421
  29. 700 rem 1
  30. 686 rem 3
  31. 824 rem 3
  32. 863 rem 189
  33. 703 rem 20
  34. 140 rem 20
  35. 770 rem 34
  36. 262 rem 569
  37. 169 rem 26
  38. 328 rem 641
  39. 1228 rem 4
  40. 735 rem 64

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