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Partial quotients is a division strategy that involves breaking down the dividend into smaller, manageable parts. To divide 639 by 9 using partial quotients, you can start by estimating how many times 9 can go into 639. For example, you can start by dividing 600 by 9, which equals 66 with a remainder of 6. Then, you can add the remaining 39 to 6 to get 45, which can be divided by 9 to equal 5. Therefore, 639 divided by 9 using partial quotients is 66 with a remainder of 5.