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To divide 34 by 6, we get 5 with a remainder of 4. This can be expressed as a mixed number, which is 5 and 4/6. To simplify the fraction part, we divide both the numerator and denominator by their greatest common divisor, which is 2 in this case. Therefore, 4/6 simplifies to 2/3. So, 34 divided by 6 with remainder as a fraction is 5 2/3.