2561295 ÷ 127 
We want to figure out the number of times 2561295 can be divided by 127.

Advancing to step 1:
If we divide 2 by 127, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 127

Step 2:
If we divide 25 by 127, we get 0 and a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Grab the next digit (6) from the dividend, add it to 25, then carry on: 256 / 127

Step 3:
If we divide 256 by 127, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 254 from 256 and we're left with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 127

Let's proceed to step 4:
127 can be fit into 21 0 times, resulting in a remainder of 21.
The next digit of our result is 0. 
Result so far: 20.0
The remainder is 21 after subtracting 0 from 21.
Append the next digit (2) from the dividend to 21 and continue with: 212 / 127

Step 5:
If we divide 212 by 127, we get 1 and a remainder of 85.
Write down 1 as next digit of the result. 
Result so far: 201.0
Subtracting 127 from 212 leaves us with 85.
Append the next digit (9) from the dividend to 85 and continue with: 859 / 127

Going ahead to step 6:
When dividing 859 by 127, we get 6 with a remainder of 97.
The number 6 becomes the next digit in our result. 
Result so far: 2016.0
Subtracting 762 from 859 leaves us with 97.
Append the next digit (5) from the dividend to 97 and continue with: 975 / 127

Advancing to step 7:
When dividing 975 by 127, we get 7 with a remainder of 86.
The number 7 becomes the next digit in our result. 
Result so far: 20167.0
Subtract 889 from 975 to get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 8:
127 goes into 860 6 times with a remainder of 98.
Put 6 as the next digit of the answer. 
Result so far: 20167.6
Subtracting 762 from 860 leaves us with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Moving on to step 9:
When dividing 980 by 127, we get 7 with a remainder of 91.
Record the quotient 7 as the next digit in the result. 
Result so far: 20167.67
Subtract 889 from 980 to get 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

On to step 10:
The number 127 fits into 910 7 times, leaving a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 20167.677
Subtracting 889 from 910 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Our division results in 20167.677 with a remaining 0.0021.