We're dividing 634117 by 35 
We want to figure out the number of times 634117 can be divided by 35.

On to step 1:
6 divided by 35 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 35

On to step 2:
63 divided by 35 is 1 with a remainder of 28.
The next digit of our result is 1. 
Result so far: 1.0
If we take 35 away from 63, we end up with 28.
Include the next digit (4) from the dividend after 28, then repeat: 284 / 35

Moving on to step 3:
35 goes into 284 8 times with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 18.0
The remainder is 4 after subtracting 280 from 284.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 35

Moving on to step 4:
41 divided by 35 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 181.0
If we subtract 35 from 41, we get 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 35

Let's proceed to step 5:
When dividing 61 by 35, we get 1 with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 1811.0
If we subtract 35 from 61, we get 26.
Bring next digit (7) of the dividend behind the 26 and repeat the process: 267 / 35

Step 6:
35 can be fit into 267 7 times, resulting in a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 18117.0
Subtract 245 from 267 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 7:
35 can be fit into 220 6 times, resulting in a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 18117.6
Deduct 210 from 220 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.

Let's proceed to step 8:
If we divide 100 by 35, we get 2 and a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 18117.62
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 9:
35 goes into 300 8 times with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 18117.628
If we take 280 away from 300, we end up 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.

Moving on to step 10:
When dividing 200 by 35, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 18117.6285
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.

Going ahead to step 11:
250 divided by 35 is 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 18117.62857
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.

On to step 12:
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: 18117.628571
Subtract 35 from 50 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.

Moving on to step 13:
35 can be fit into 150 4 times, resulting in a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 18117.6285714
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.

Step 14:
35 can be fit into 100 2 times, resulting in a remainder of 30.
The next digit of our result is 2. 
Result so far: 18117.62857142
The remainder is 30 after subtracting 70 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 18117.62857142 with a remaining 3e-08.