We're dividing 185601 by 35 
We're looking to find how many times 35 goes into 185601.

Advancing to step 1:
35 goes into 1 0 times 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.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 35

Let's proceed to step 2:
18 divided by 35 is 0 with a remainder of 18.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 18, we get 18.
Fetch the next digit (5) from the dividend, attach it to 18 and continue: 185 / 35

Advancing to step 3:
When dividing 185 by 35, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 10 after subtracting 175 from 185.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 35

Advancing to step 4:
The number 35 fits into 106 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 53.0
If we subtract 105 from 106, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 35

Advancing to step 5:
The number 35 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 530.0
Subtract 0 from 10 to get 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 35

On to step 6:
If we divide 101 by 35, we get 2 and a remainder of 31.
Record the quotient 2 as the next digit in the result. 
Result so far: 5302.0
The remainder is 31 after subtracting 70 from 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
35 goes into 310 8 times with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 5302.8
The remainder is 30 after subtracting 280 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
300 divided by 35 is 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 5302.88
The remainder is 20 after subtracting 280 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 5302.88 with a balance of 0.02.