We look at the division of 127171 by 61 
Our goal is to divide 127171 by 61.

Going ahead to step 1:
If we divide 1 by 61, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 61

Advancing to step 2:
12 divided by 61 is 0 with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 61

Moving on to step 3:
127 divided by 61 is 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 122 away from 127, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 61

Let's proceed to step 4:
If we divide 51 by 61, we get 0 and a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 20.0
Subtracting 0 from 51 leaves us with 51.
Append the next digit (7) from the dividend to 51 and continue with: 517 / 61

Step 5:
The number 61 fits into 517 8 times, leaving a remainder of 29.
Use 8 as the next digit of our solution. 
Result so far: 208.0
If we take 488 away from 517, we end up with 29.
Include the next digit (1) from the dividend after 29, then repeat: 291 / 61

Step 6:
291 divided by 61 is 4 with a remainder of 47.
Write down 4 as next digit of the result. 
Result so far: 2084.0
If we take 244 away from 291, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 7:
470 divided by 61 is 7 with a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 2084.7
If we take 427 away from 470, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 8:
The number 61 fits into 430 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 2084.77
Subtract 427 from 430 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final outcome is 2084.77, with a leftover of 0.003.