We divide 354601 by 17
We want to figure out the number of times 354601 can be divided by 17.

Advancing to step 1:
If we divide 3 by 17, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 17

On to step 2:
If we divide 35 by 17, we get 2 and a remainder of 1.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 34 from 35 to get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 17

On to step 3:
When dividing 14 by 17, we get 0 with a remainder of 14.
The next digit of our result is 0. 
Result so far: 20.0
Subtract 0 from 14 to get 14.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 17

Step 4:
146 divided by 17 is 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 208.0
If we take 136 away from 146, we end up with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 17

Let's proceed to step 5:
17 goes into 100 5 times with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 2085.0
If we subtract 85 from 100, we get 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 17

Moving on to step 6:
When dividing 151 by 17, we get 8 with a remainder of 15.
The number 8 becomes the next digit in our result. 
Result so far: 20858.0
Deduct 136 from 151 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 7:
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: 20858.8
Subtract 136 from 150 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.

Advancing to step 8:
If we divide 140 by 17, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 20858.88
Subtracting 136 from 140 leaves us 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.

The quotient of the division is 20858.88, and the remainder is 0.004.