Let's divide 601561 by 17
We want to figure out the number of times 601561 can be divided by 17.

Step 1:
6 divided by 17 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 17

Moving on to step 2:
17 goes into 60 3 times with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 51 away from 60, we end up with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 17

Step 3:
If we divide 91 by 17, we get 5 and a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Deduct 85 from 91 and we're left with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 17

Let's proceed to step 4:
When dividing 65 by 17, we get 3 with a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 353.0
Subtracting 51 from 65 leaves us with 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 17

On to step 5:
17 can be fit into 146 8 times, resulting in a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 3538.0
If we subtract 136 from 146, we get 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 17

Let's proceed to step 6:
17 goes into 101 5 times with a remainder of 16.
The number 5 becomes the next digit in our result. 
Result so far: 35385.0
If we subtract 85 from 101, 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.

Step 7:
160 divided by 17 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 35385.9
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.

On to step 8:
The number 17 fits into 70 4 times, leaving a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 35385.94
If we take 68 away from 70, we end up 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.

Going ahead to step 9:
20 divided by 17 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 35385.941
Subtract 17 from 20 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
If we divide 30 by 17, we get 1 and a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 35385.9411
Subtracting 17 from 30 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 35385.9411 with a remaining 0.00013.