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Question
a jewelry shop makes and sells pearl necklaces. the shop has a total of 6,832 pearls. each necklace has 16 pearls. mr. allyn completed the division problem below, but the partial - quotients and quotient were accidentally erased. fill in the blanks to complete the problem. write your answers in the blanks.
16)6,832
- 6,400
432
- 320
112
- 112
0
Step1: Analyze first subtraction
We know that $6400\div16 = 400$, so the first - partial quotient is 400.
Step2: Analyze second subtraction
We have $320\div16=20$, so the second - partial quotient is 20.
Step3: Analyze third subtraction
We have $112\div16 = 7$, so the third - partial quotient is 7.
Step4: Calculate the quotient
The quotient is the sum of the partial quotients, $400 + 20+7=427$.
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The partial quotients are 400, 20, 7 and the quotient is 427.