We're dividing 476642 by 35 
We're looking to find how many times 35 goes into 476642.

On to step 1:
4 divided by 35 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 35

Let's proceed to step 2:
35 can be fit into 47 1 times, resulting in a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 35 from 47 leaves us with 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 35

Let's proceed to step 3:
When dividing 126 by 35, we get 3 with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 105 from 126 and we're left with 21.
Fetch the next digit (6) from the dividend, attach it to 21 and continue: 216 / 35

On to step 4:
If we divide 216 by 35, we get 6 and a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 136.0
The remainder is 6 after subtracting 210 from 216.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 35

On to step 5:
If we divide 64 by 35, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 1361.0
Subtract 35 from 64 to get 29.
Include the next digit (2) from the dividend after 29, then repeat: 292 / 35

Going ahead to step 6:
35 goes into 292 8 times with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 13618.0
If we take 280 away from 292, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
35 can be fit into 120 3 times, resulting in a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 13618.3
Subtract 105 from 120 to 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.

Let's proceed to step 8:
When dividing 150 by 35, we get 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 13618.34
Subtract 140 from 150 to 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.

Going ahead to step 9:
35 goes into 100 2 times with a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 13618.342
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.

Moving on to step 10:
35 can be fit into 300 8 times, resulting in a remainder of 20.
The next digit of our result is 8. 
Result so far: 13618.3428
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.

Advancing to step 11:
The number 35 fits into 200 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 13618.34285
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 12:
When dividing 250 by 35, we get 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 13618.342857
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.

On to step 13:
35 goes into 50 1 times with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 13618.3428571
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.

On to step 14:
35 goes into 150 4 times with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 13618.34285714
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.

The final outcome is 13618.34285714, with a leftover of 1e-08.