We're dividing 17205 by 41 
We're looking to find how many times 41 goes into 17205.

Advancing to step 1:
When dividing 1 by 41, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 41

Let's proceed to step 2:
When dividing 17 by 41, we get 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Grab the next digit (2) from the dividend, add it to 17, then carry on: 172 / 41

Advancing to step 3:
172 divided by 41 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 164 from 172 and we're left with 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 41

Advancing to step 4:
41 goes into 80 1 times with a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 41.0
Deduct 41 from 80 and we're left with 39.
Grab the next digit (5) from the dividend, add it to 39, then carry on: 395 / 41

On to step 5:
395 divided by 41 is 9 with a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 419.0
If we take 369 away from 395, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 6:
If we divide 260 by 41, we get 6 and a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 419.6
Deduct 246 from 260 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
If we divide 140 by 41, we get 3 and a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 419.63
Subtract 123 from 140 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 8:
41 can be fit into 170 4 times, resulting in a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 419.634
If we subtract 164 from 170, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
When dividing 60 by 41, we get 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 419.6341
Subtract 41 from 60 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 10:
When dividing 190 by 41, we get 4 with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 419.63414
Subtracting 164 from 190 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
260 divided by 41 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 419.634146
Subtract 246 from 260 to 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.

Step 12:
140 divided by 41 is 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 419.6341463
If we subtract 123 from 140, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 13:
41 can be fit into 170 4 times, resulting in a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 419.63414634
The remainder is 6 after subtracting 164 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final outcome is 419.63414634, with a leftover of 6e-09.