We look at the division of 557630 by 91 
We're looking to find how many times 91 goes into 557630.

Step 1:
5 divided by 91 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 91

Going ahead to step 2:
55 divided by 91 is 0 with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Grab the next digit (7) from the dividend, add it to 55, then carry on: 557 / 91

Step 3:
91 can be fit into 557 6 times, resulting in a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 546 from 557 leaves us with 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 91

Advancing to step 4:
If we divide 116 by 91, we get 1 and a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 61.0
Subtract 91 from 116 to get 25.
Include the next digit (3) from the dividend after 25, then repeat: 253 / 91

Going ahead to step 5:
91 can be fit into 253 2 times, resulting in a remainder of 71.
Write down 2 as next digit of the result. 
Result so far: 612.0
If we take 182 away from 253, we end up with 71.
Bring next digit (0) of the dividend behind the 71 and repeat the process: 710 / 91

Step 6:
91 goes into 710 7 times with a remainder of 73.
Put 7 as the next digit of the answer. 
Result so far: 6127.0
The remainder is 73 after subtracting 637 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 7:
91 can be fit into 730 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 6127.8
If we subtract 728 from 730, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
20 divided by 91 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 6127.8
Subtracting 0 from 20 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.

On to step 9:
If we divide 200 by 91, we get 2 and a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 6127.802
If we subtract 182 from 200, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 10:
When dividing 180 by 91, we get 1 with a remainder of 89.
The next digit of our result is 1. 
Result so far: 6127.8021
The remainder is 89 after subtracting 91 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

On to step 11:
When dividing 890 by 91, we get 9 with a remainder of 71.
Use 9 as the next digit of our solution. 
Result so far: 6127.80219
If we subtract 819 from 890, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 12:
91 can be fit into 710 7 times, resulting in a remainder of 73.
The next digit of our result is 7. 
Result so far: 6127.802197
If we take 637 away from 710, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 13:
If we divide 730 by 91, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 6127.8021978
The remainder is 2 after subtracting 728 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
When dividing 20 by 91, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 6127.8021978
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 6127.8021978 with a balance of 2e-08.