We can think of as (6x² + 7x + 6) ÷ (2x + 1)

Step 1: 6x² ÷ 2x = 3x

So we write the following, using (3x)(2x + 1) = 6x² + 3x for the second row:

Step 2: We subtract 6x² + 3x from the first row:

Step 3: Bring down the 6:

Step 4: Divide 4x by 2x. Our answer is 2 and we multiply 2(2x + 1) to get the 4th row.

Step 5: Subtract, and we are left with 4.

So the answer is:

NOTE: Some people prefer to write the problem with all the x²'s, x's and units in line, as follows: