91589 ÷ 6 
We're looking to find how many times 6 goes into 91589.

On to step 1:
When dividing 9 by 6, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 6 from 9 leaves us with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 6

Let's proceed to step 2:
When dividing 31 by 6, we get 5 with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we subtract 30 from 31, we get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 6

Step 3:
15 divided by 6 is 2 with a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 152.0
Deduct 12 from 15 and we're left with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 6

Moving on to step 4:
If we divide 38 by 6, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 1526.0
If we subtract 36 from 38, we get 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 6

Advancing to step 5:
6 can be fit into 29 4 times, resulting in a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 15264.0
The remainder is 5 after subtracting 24 from 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 6:
If we divide 50 by 6, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 15264.8
Deduct 48 from 50 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 15264.83
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
6 goes into 20 3 times with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 15264.833
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 15264.833, with a leftover of 0.0002.