We look at the division of 2557105 by 371 
We want to divide 2557105 by 371.

Going ahead to step 1:
371 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 371

Let's proceed to step 2:
If we divide 25 by 371, we get 0 and a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Take the next digit (5) from the dividend and append it to 25, then repeat: 255 / 371

On to step 3:
The number 371 fits into 255 0 times, leaving a remainder of 255.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 255, we end up with 255.
Fetch the next digit (7) from the dividend, attach it to 255 and continue: 2557 / 371

Advancing to step 4:
When dividing 2557 by 371, we get 6 with a remainder of 331.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 2226 from 2557 leaves us with 331.
Take the next digit (1) from the dividend and append it to 331, then repeat: 3311 / 371

Going ahead to step 5:
3311 divided by 371 is 8 with a remainder of 343.
Put 8 as the next digit of the answer. 
Result so far: 68.0
If we subtract 2968 from 3311, we get 343.
Take the next digit (0) from the dividend and append it to 343, then repeat: 3430 / 371

On to step 6:
3430 divided by 371 is 9 with a remainder of 91.
Write down 9 as next digit of the result. 
Result so far: 689.0
If we subtract 3339 from 3430, we get 91.
Take the next digit (5) from the dividend and append it to 91, then repeat: 915 / 371

Moving on to step 7:
371 can be fit into 915 2 times, resulting in a remainder of 173.
Write down 2 as next digit of the result. 
Result so far: 6892.0
Subtract 742 from 915 to get 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1730, and continue the process.

Let's proceed to step 8:
If we divide 1730 by 371, we get 4 and a remainder of 246.
Use 4 as the next digit of our solution. 
Result so far: 6892.4
Subtracting 1484 from 1730 leaves us with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

Going ahead to step 9:
371 can be fit into 2460 6 times, resulting in a remainder of 234.
The number 6 becomes the next digit in our result. 
Result so far: 6892.46
If we take 2226 away from 2460, we end up with 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2340, and continue the process.

On to step 10:
If we divide 2340 by 371, we get 6 and a remainder of 114.
Use 6 as the next digit of our solution. 
Result so far: 6892.466
The remainder is 114 after subtracting 2226 from 2340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

The final outcome is 6892.466, with a leftover of 0.0114.