Let's divide 20581 by 17
We're looking to find how many times 17 goes into 20581.

Advancing to step 1:
When dividing 2 by 17, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 17

Moving on to step 2:
When dividing 20 by 17, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 17 from 20 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 17

Going ahead to step 3:
When dividing 35 by 17, we get 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 34 from 35 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 17

Going ahead to step 4:
17 goes into 18 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 121.0
Subtracting 17 from 18 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 17

Step 5:
17 goes into 11 0 times with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 1210.0
Subtract 0 from 11 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 6:
The number 17 fits into 110 6 times, leaving a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 1210.6
Subtract 102 from 110 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
If we divide 80 by 17, we get 4 and a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 1210.64
The remainder is 12 after subtracting 68 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
When dividing 120 by 17, we get 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 1210.647
If we subtract 119 from 120, 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.

Advancing to step 9:
17 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 1210.647
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
17 can be fit into 100 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 1210.64705
Deduct 85 from 100 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 11:
The number 17 fits into 150 8 times, leaving a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 1210.647058
If we subtract 136 from 150, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 12:
The number 17 fits into 140 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 1210.6470588
Deduct 136 from 140 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.

In conclusion, the division gives 1210.6470588 with a balance of 4e-08.