We're dividing 557144 by 91 
We're looking to find how many times 91 goes into 557144.

Step 1:
91 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 91

Advancing to step 2:
If we divide 55 by 91, we get 0 and a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Bring next digit (7) of the dividend behind the 55 and repeat the process: 557 / 91

On to 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
Subtract 546 from 557 to get 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 91

Let's proceed to step 4:
The number 91 fits into 111 1 times, leaving a remainder of 20.
The next digit of our result is 1. 
Result so far: 61.0
Subtract 91 from 111 to get 20.
Append the next digit (4) from the dividend to 20 and continue with: 204 / 91

Advancing to step 5:
204 divided by 91 is 2 with a remainder of 22.
The next digit of our result is 2. 
Result so far: 612.0
Deduct 182 from 204 and we're left with 22.
Fetch the next digit (4) from the dividend, attach it to 22 and continue: 224 / 91

Going ahead to step 6:
The number 91 fits into 224 2 times, leaving a remainder of 42.
The next digit of our result is 2. 
Result so far: 6122.0
Deduct 182 from 224 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 7:
If we divide 420 by 91, we get 4 and a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 6122.4
Subtracting 364 from 420 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 8:
When dividing 560 by 91, we get 6 with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 6122.46
Deduct 546 from 560 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 9:
91 can be fit into 140 1 times, resulting in a remainder of 49.
The next digit of our result is 1. 
Result so far: 6122.461
Subtracting 91 from 140 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 10:
490 divided by 91 is 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 6122.4615
If we take 455 away from 490, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 11:
If we divide 350 by 91, we get 3 and a remainder of 77.
The next digit of our result is 3. 
Result so far: 6122.46153
Deduct 273 from 350 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Let's proceed to step 12:
91 goes into 770 8 times with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 6122.461538
Deduct 728 from 770 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 13:
91 goes into 420 4 times with a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 6122.4615384
The remainder is 56 after subtracting 364 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 14:
91 can be fit into 560 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 6122.46153846
Subtract 546 from 560 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 6122.46153846 and a remainder of 1.4e-08.