478683 ÷ 35 
Our goal is to divide 478683 by 35.

Going ahead to step 1:
The number 35 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 35

Going ahead to step 2:
If we divide 47 by 35, we get 1 and a remainder of 12.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 35 from 47, we get 12.
Take the next digit (8) from the dividend and append it to 12, then repeat: 128 / 35

Moving on to step 3:
35 can be fit into 128 3 times, resulting in a remainder of 23.
The next digit of our result is 3. 
Result so far: 13.0
If we subtract 105 from 128, we get 23.
Append the next digit (6) from the dividend to 23 and continue with: 236 / 35

Advancing to step 4:
When dividing 236 by 35, we get 6 with a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 136.0
If we subtract 210 from 236, we get 26.
Include the next digit (8) from the dividend after 26, then repeat: 268 / 35

On to step 5:
The number 35 fits into 268 7 times, leaving a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 1367.0
If we subtract 245 from 268, we get 23.
Include the next digit (3) from the dividend after 23, then repeat: 233 / 35

Going ahead to step 6:
The number 35 fits into 233 6 times, leaving a remainder of 23.
Use 6 as the next digit of our solution. 
Result so far: 13676.0
If we subtract 210 from 233, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
The number 35 fits into 230 6 times, leaving a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 13676.6
If we subtract 210 from 230, we 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.

Advancing to step 8:
If we divide 200 by 35, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 13676.65
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 9:
250 divided by 35 is 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 13676.657
If we take 245 away from 250, 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.

Moving on to step 10:
If we divide 50 by 35, we get 1 and a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 13676.6571
Deduct 35 from 50 and we're left 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.

Advancing to step 11:
When dividing 150 by 35, we get 4 with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 13676.65714
If we take 140 away from 150, we end up 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.

Advancing to step 12:
35 goes into 100 2 times with a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 13676.657142
Subtracting 70 from 100 leaves us 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.

Going ahead to step 13:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 13676.6571428
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 14:
200 divided by 35 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 13676.65714285
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.

In conclusion, the division gives 13676.65714285 with a balance of 2.5e-08.