We look at the division of 635471 by 35 
Our goal is to divide 635471 by 35.

Advancing to step 1:
35 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 35

On to step 2:
If we divide 63 by 35, we get 1 and a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 35 from 63 leaves us with 28.
Include the next digit (5) from the dividend after 28, then repeat: 285 / 35

Step 3:
285 divided by 35 is 8 with a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
If we take 280 away from 285, we end up with 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 35

Going ahead to step 4:
The number 35 fits into 54 1 times, leaving a remainder of 19.
The next digit of our result is 1. 
Result so far: 181.0
If we subtract 35 from 54, we get 19.
Take the next digit (7) from the dividend and append it to 19, then repeat: 197 / 35

On to step 5:
When dividing 197 by 35, we get 5 with a remainder of 22.
The next digit of our result is 5. 
Result so far: 1815.0
Subtracting 175 from 197 leaves us with 22.
Take the next digit (1) from the dividend and append it to 22, then repeat: 221 / 35

Advancing to step 6:
35 goes into 221 6 times with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 18156.0
If we subtract 210 from 221, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
The number 35 fits into 110 3 times, leaving a remainder of 5.
The next digit of our result is 3. 
Result so far: 18156.3
If we take 105 away from 110, 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.

Let's proceed to step 8:
35 goes into 50 1 times with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 18156.31
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.

On to step 9:
150 divided by 35 is 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 18156.314
If we subtract 140 from 150, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
The number 35 fits into 100 2 times, leaving a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 18156.3142
If we take 70 away from 100, we end up 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.

Step 11:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 18156.31428
Subtract 280 from 300 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 12:
The number 35 fits into 200 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 18156.314285
Deduct 175 from 200 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 13:
35 goes into 250 7 times with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 18156.3142857
Subtract 245 from 250 to 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.

Step 14:
The number 35 fits into 50 1 times, leaving a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 18156.31428571
If we subtract 35 from 50, we get 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 18156.31428571 with a remainder of 1.5e-08.