Will help you prepare for the material covered in the next...

Will help you prepare for the material covered in the next section.
Divide 737 by 21 without using a calculator. Write the answer as
$$
\text { quotient }+\frac{\text { remainder }}{\text { divisor }}
$$

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Key Concepts

Division Algorithm

The division algorithm is a fundamental concept in arithmetic which states that for any given dividend and any nonzero divisor, there exist unique whole numbers known as the quotient and the remainder such that the dividend equals the product of the divisor and the quotient plus the remainder. This relationship underpins the process of division, especially when the result is not an integer.

Long Division

Long division is a step-by-step method used to divide larger numbers by smaller numbers without the use of a calculator. This method involves dividing, multiplying, and subtracting sequentially, thereby breaking down the division into manageable parts to systematically arrive at the quotient and the remainder.

Mixed Number Representation

Mixed number representation is a way to express the result of a division where the quotient is not an integer. It combines the whole number part (the quotient) with a fractional part that represents the remainder divided by the original divisor. This form provides a complete and precise description of the division outcome.

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