1.

Divide the first term in the divisor into the first term in the dividend.

After multiplying this term in the quotient by the divisor and then subtracting the product from the dividend, we get

after we bring down the next term from the dividend. Divide the first term in the divisor into the first term in the remainder. Thid gives us the next term in the quotient.

Multiply this term in the quotient by the divisor and subtract the product from the remainder.

Divide the first term in the divisor into the first term in the remainder.

Multiply the 19 by the divisor and subtract from the remainder.

At this point the remainder of -52 has smaller degree than he divisor. We can express the answer as a quotient and a remainder as

x2 - 7x + 19   R   -52

or we can put the remainder over the divisor in a fraction

or

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