We look at the division of 69586 by 33 
We're looking to find how many times 33 goes into 69586.

Let's proceed to step 1:
When dividing 6 by 33, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 33

Step 2:
If we divide 69 by 33, we get 2 and a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 66 from 69 leaves us with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 33

Step 3:
33 can be fit into 35 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Subtract 33 from 35 to get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 33

Step 4:
33 can be fit into 28 0 times, resulting in a remainder of 28.
Record the quotient 0 as the next digit in the result. 
Result so far: 210.0
Deduct 0 from 28 and we're left with 28.
Append the next digit (6) from the dividend to 28 and continue with: 286 / 33

Moving on to step 5:
33 goes into 286 8 times with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 2108.0
The remainder is 22 after subtracting 264 from 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 6:
220 divided by 33 is 6 with a remainder of 22.
The next digit of our result is 6. 
Result so far: 2108.6
The remainder is 22 after subtracting 198 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 7:
The number 33 fits into 220 6 times, leaving a remainder of 22.
The next digit of our result is 6. 
Result so far: 2108.66
The remainder is 22 after subtracting 198 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Our division results in 2108.66 with a remaining 0.022.