We look at the division of 71097301 by 127 
Our goal is to divide 71097301 by 127.

Step 1:
127 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 127

Advancing to step 2:
127 can be fit into 71 0 times, resulting in a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 71, we end up with 71.
Take the next digit (0) from the dividend and append it to 71, then repeat: 710 / 127

Step 3:
127 can be fit into 710 5 times, resulting in a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 635 from 710, we get 75.
Take the next digit (9) from the dividend and append it to 75, then repeat: 759 / 127

Moving on to step 4:
127 goes into 759 5 times with a remainder of 124.
The next digit of our result is 5. 
Result so far: 55.0
If we subtract 635 from 759, we get 124.
Take the next digit (7) from the dividend and append it to 124, then repeat: 1247 / 127

Moving on to step 5:
127 can be fit into 1247 9 times, resulting in a remainder of 104.
Put 9 as the next digit of the answer. 
Result so far: 559.0
The remainder is 104 after subtracting 1143 from 1247.
Grab the next digit (3) from the dividend, add it to 104, then carry on: 1043 / 127

Let's proceed to step 6:
1043 divided by 127 is 8 with a remainder of 27.
Record the quotient 8 as the next digit in the result. 
Result so far: 5598.0
Subtracting 1016 from 1043 leaves us with 27.
Include the next digit (0) from the dividend after 27, then repeat: 270 / 127

Going ahead to step 7:
270 divided by 127 is 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 55982.0
The remainder is 16 after subtracting 254 from 270.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 127

On to step 8:
The number 127 fits into 161 1 times, leaving a remainder of 34.
The next digit of our result is 1. 
Result so far: 559821.0
Deduct 127 from 161 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 9:
When dividing 340 by 127, we get 2 with a remainder of 86.
The next digit of our result is 2. 
Result so far: 559821.2
Subtract 254 from 340 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 10:
The number 127 fits into 860 6 times, leaving a remainder of 98.
Use 6 as the next digit of our solution. 
Result so far: 559821.26
Subtract 762 from 860 to get 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Advancing to step 11:
127 goes into 980 7 times with a remainder of 91.
The next digit of our result is 7. 
Result so far: 559821.267
If we take 889 away from 980, we end up with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Moving on to step 12:
127 goes into 910 7 times with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 559821.2677
If we subtract 889 from 910, we get 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 559821.2677 with a remaining 0.00021.