This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
12
Step 1: Set up the long division for .
Step 2: Divide the first part of the dividend () by the divisor (). goes into one time (). Write in the quotient above the . Subtract from .
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Step 3: Bring down the next digit () to form the new number (). Divide by . goes into two times (). Write in the quotient above the . Subtract from .
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Step 4: The remainder is . The quotient is .
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Set up the long division for 684 ÷ 57. r 00 \\ 57)684 \\ Step 2: Divide the first part of the dividend (68) by the divisor (57).
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.