We divide 165603 by 35
Our goal is to divide 165603 by 35.

Advancing to step 1:
If we divide 1 by 35, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 35

On to step 2:
The number 35 fits into 16 0 times, leaving a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 16 leaves us with 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 35

On to step 3:
35 goes into 165 4 times with a remainder of 25.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 140 from 165 leaves us with 25.
Bring next digit (6) of the dividend behind the 25 and repeat the process: 256 / 35

Advancing to step 4:
256 divided by 35 is 7 with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 47.0
If we take 245 away from 256, we end up with 11.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 35

Step 5:
If we divide 110 by 35, we get 3 and a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 473.0
If we take 105 away from 110, we end up with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 35

On to step 6:
35 can be fit into 53 1 times, resulting in a remainder of 18.
The next digit of our result is 1. 
Result so far: 4731.0
If we subtract 35 from 53, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 7:
35 can be fit into 180 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 4731.5
If we take 175 away from 180, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
If we divide 50 by 35, we get 1 and a remainder of 15.
The next digit of our result is 1. 
Result so far: 4731.51
The remainder is 15 after subtracting 35 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
The number 35 fits into 150 4 times, leaving a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 4731.514
Subtracting 140 from 150 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
If we divide 100 by 35, we get 2 and a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 4731.5142
Deduct 70 from 100 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 11:
300 divided by 35 is 8 with a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 4731.51428
Deduct 280 from 300 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 12:
If we divide 200 by 35, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 4731.514285
The remainder is 25 after subtracting 175 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 13:
If we divide 250 by 35, we get 7 and a remainder of 5.
The next digit of our result is 7. 
Result so far: 4731.5142857
Subtracting 245 from 250 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
35 goes into 50 1 times with a remainder of 15.
The next digit of our result is 1. 
Result so far: 4731.51428571
Subtracting 35 from 50 leaves us 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.

The final result is 4731.51428571 with a remainder of 1.5e-08.