# How do you long divide #(8a^2 - 30a + 7) div (2a - 78)#?

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To long divide ( (8a^2 - 30a + 7) \div (2a - 78) ), you follow the steps of long division similar to dividing numbers.

- Divide the first term of the dividend by the first term of the divisor.
- Multiply the divisor by the result obtained in step 1, and write the result under the dividend.
- Subtract the result obtained in step 2 from the dividend.
- Bring down the next term of the dividend.
- Repeat steps 1-4 until all terms of the dividend have been accounted for.

Following these steps:

- Divide (8a^2) by (2a), which gives (4a).
- Multiply (2a - 78) by (4a), resulting in (8a^2 - 312a).
- Subtract (8a^2 - 312a) from (8a^2 - 30a), which gives (282a).
- Bring down the next term, which is (7).
- Divide (282a) by (2a), giving (141).
- Multiply (2a - 78) by (141), resulting in (282a - 11058).
- Subtract (282a - 11058) from (282a + 7), giving (11065).

Thus, the quotient is (4a + 141) with a remainder of (11065).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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