Final answer:
To find the quotient using the partial quotients algorithm, divide 52 into 3766 by repeatedly subtracting multiples of 52 from the dividend.
Step-by-step explanation:
To find the quotient using the partial quotients algorithm, start by dividing 52 into 3766. Begin by asking yourself, how many times does 52 go into 376? The answer is 7, as 52 x 7 = 364. Subtract 364 from 376 to get 12. Then, bring down the next digit, which is 6, and ask yourself how many times does 52 go into 126? The answer is 2, as 52 x 2 = 104. Subtract 104 from 126 to get 22. Finally, bring down the last digit, which is 0, and ask yourself how many times does 52 go into 220? The answer is 4, as 52 x 4 = 208. Subtract 208 from 220 to get 12. Therefore, the quotient is 72 with a remainder of 12.
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