We're dividing 634107 by 86 
We're looking to find how many times 86 goes into 634107.

Advancing to step 1:
6 divided by 86 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 86

Going ahead to step 2:
63 divided by 86 is 0 with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 63 leaves us with 63.
Append the next digit (4) from the dividend to 63 and continue with: 634 / 86

Advancing to step 3:
When dividing 634 by 86, we get 7 with a remainder of 32.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 602 from 634, we get 32.
Include the next digit (1) from the dividend after 32, then repeat: 321 / 86

Going ahead to step 4:
321 divided by 86 is 3 with a remainder of 63.
The next digit of our result is 3. 
Result so far: 73.0
If we take 258 away from 321, we end up with 63.
Include the next digit (0) from the dividend after 63, then repeat: 630 / 86

Going ahead to step 5:
86 goes into 630 7 times with a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 737.0
If we subtract 602 from 630, we get 28.
Include the next digit (7) from the dividend after 28, then repeat: 287 / 86

Let's proceed to step 6:
When dividing 287 by 86, we get 3 with a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 7373.0
Deduct 258 from 287 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
When dividing 290 by 86, we get 3 with a remainder of 32.
The next digit of our result is 3. 
Result so far: 7373.3
Subtracting 258 from 290 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
320 divided by 86 is 3 with a remainder of 62.
Use 3 as the next digit of our solution. 
Result so far: 7373.33
If we take 258 away from 320, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Our division results in 7373.33 with a remaining 0.062.