We're dividing 477635 by 35 
We're looking to find how many times 35 goes into 477635.

Moving on to step 1:
If we divide 4 by 35, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 35

Step 2:
35 goes into 47 1 times with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 35 from 47, we get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 35

Going ahead to step 3:
If we divide 127 by 35, we get 3 and a remainder of 22.
The next digit of our result is 3. 
Result so far: 13.0
If we take 105 away from 127, we end up with 22.
Take the next digit (6) from the dividend and append it to 22, then repeat: 226 / 35

On to step 4:
If we divide 226 by 35, we get 6 and a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 136.0
Deduct 210 from 226 and we're left with 16.
Grab the next digit (3) from the dividend, add it to 16, then carry on: 163 / 35

On to step 5:
When dividing 163 by 35, we get 4 with a remainder of 23.
The number 4 becomes the next digit in our result. 
Result so far: 1364.0
Deduct 140 from 163 and we're left with 23.
Append the next digit (5) from the dividend to 23 and continue with: 235 / 35

On to step 6:
35 goes into 235 6 times with a remainder of 25.
Record the quotient 6 as the next digit in the result. 
Result so far: 13646.0
Deduct 210 from 235 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.

Going ahead to step 7:
If we divide 250 by 35, we get 7 and a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 13646.7
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.

Step 8:
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: 13646.71
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.

Moving on to step 9:
If we divide 150 by 35, we get 4 and a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 13646.714
Deduct 140 from 150 and we're left 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.

Going ahead to step 10:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 13646.7142
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.

Moving on to step 11:
35 can be fit into 300 8 times, resulting in a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 13646.71428
Subtracting 280 from 300 leaves us 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.

Going ahead to step 12:
35 goes into 200 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 13646.714285
Subtracting 175 from 200 leaves us 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.

Let's proceed to step 13:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 13646.7142857
Deduct 245 from 250 and we're left 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 14:
When dividing 50 by 35, we get 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 13646.71428571
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.

Our division results in 13646.71428571 with a remaining 1.5e-08.