8965 ÷ 6 
Our goal is to divide 8965 by 6.

Going ahead to step 1:
If we divide 8 by 6, we get 1 and a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 6 from 8 leaves us with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 6

Moving on to step 2:
When dividing 29 by 6, we get 4 with a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we take 24 away from 29, we end up with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 6

On to step 3:
56 divided by 6 is 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 149.0
The remainder is 2 after subtracting 54 from 56.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 6

Moving on to step 4:
6 can be fit into 25 4 times, resulting in a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 1494.0
If we subtract 24 from 25, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 5:
The number 6 fits into 10 1 times, leaving a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1494.1
If we subtract 6 from 10, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 6:
6 goes into 40 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 1494.16
Subtracting 36 from 40 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
The number 6 fits into 40 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 1494.166
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 1494.166 with a remaining 0.0004.