We look at the division of 353657 by 17 
Let's see how many times 17 fits into 353657.

Advancing to step 1:
If we divide 3 by 17, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 17

Step 2:
The number 17 fits into 35 2 times, leaving a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 34 from 35 to get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 17

Let's proceed to step 3:
13 divided by 17 is 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 20.0
The remainder is 13 after subtracting 0 from 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 17

Moving on to step 4:
17 can be fit into 136 8 times, resulting in a remainder of 0.
The next digit of our result is 8. 
Result so far: 208.0
The remainder is 0 after subtracting 136 from 136.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 17

Moving on to step 5:
If we divide 5 by 17, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 2080.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 17

Going ahead to step 6:
17 goes into 57 3 times with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 20803.0
The remainder is 6 after subtracting 51 from 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
17 can be fit into 60 3 times, resulting in a remainder of 9.
The next digit of our result is 3. 
Result so far: 20803.3
Subtracting 51 from 60 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 8:
17 goes into 90 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 20803.35
If we subtract 85 from 90, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
17 can be fit into 50 2 times, resulting in a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 20803.352
If we subtract 34 from 50, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 10:
If we divide 160 by 17, we get 9 and a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 20803.3529
Deduct 153 from 160 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
If we divide 70 by 17, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 20803.35294
Subtracting 68 from 70 leaves us 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 12:
17 goes into 20 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 20803.352941
Deduct 17 from 20 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
30 divided by 17 is 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 20803.3529411
The remainder is 13 after subtracting 17 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 20803.3529411, and the remainder is 1.3e-07.