We're dividing 85900604 by 634 
Our goal is to divide 85900604 by 634.

On to step 1:
If we divide 8 by 634, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 634

Moving on to step 2:
When dividing 85 by 634, we get 0 with a remainder of 85.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 85, we end up with 85.
Take the next digit (9) from the dividend and append it to 85, then repeat: 859 / 634

Step 3:
The number 634 fits into 859 1 times, leaving a remainder of 225.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 634 from 859 leaves us with 225.
Take the next digit (0) from the dividend and append it to 225, then repeat: 2250 / 634

On to step 4:
634 can be fit into 2250 3 times, resulting in a remainder of 348.
Write down 3 as next digit of the result. 
Result so far: 13.0
Deduct 1902 from 2250 and we're left with 348.
Append the next digit (0) from the dividend to 348 and continue with: 3480 / 634

Let's proceed to step 5:
If we divide 3480 by 634, we get 5 and a remainder of 310.
Record the quotient 5 as the next digit in the result. 
Result so far: 135.0
Subtracting 3170 from 3480 leaves us with 310.
Take the next digit (6) from the dividend and append it to 310, then repeat: 3106 / 634

Advancing to step 6:
3106 divided by 634 is 4 with a remainder of 570.
Record the quotient 4 as the next digit in the result. 
Result so far: 1354.0
Subtract 2536 from 3106 to get 570.
Bring next digit (0) of the dividend behind the 570 and repeat the process: 5700 / 634

Moving on to step 7:
5700 divided by 634 is 8 with a remainder of 628.
Record the quotient 8 as the next digit in the result. 
Result so far: 13548.0
Deduct 5072 from 5700 and we're left with 628.
Include the next digit (4) from the dividend after 628, then repeat: 6284 / 634

On to step 8:
The number 634 fits into 6284 9 times, leaving a remainder of 578.
The next digit of our result is 9. 
Result so far: 135489.0
Subtract 5706 from 6284 to get 578.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

Let's proceed to step 9:
The number 634 fits into 5780 9 times, leaving a remainder of 74.
Record the quotient 9 as the next digit in the result. 
Result so far: 135489.9
Subtracting 5706 from 5780 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 10:
634 can be fit into 740 1 times, resulting in a remainder of 106.
Put 1 as the next digit of the answer. 
Result so far: 135489.91
Deduct 634 from 740 and we're left with 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

Step 11:
When dividing 1060 by 634, we get 1 with a remainder of 426.
Use 1 as the next digit of our solution. 
Result so far: 135489.911
Subtracting 634 from 1060 leaves us with 426.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4260, and continue the process.

Our division results in 135489.911 with a remaining 0.0426.