We're dividing 127960 by 13 
Let's see how many times 13 fits into 127960.

Let's proceed to step 1:
13 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 13

Step 2:
13 goes into 12 0 times with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 13

Moving on to step 3:
If we divide 127 by 13, we get 9 and a remainder of 10.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 117 from 127 to get 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 13

Going ahead to step 4:
The number 13 fits into 109 8 times, leaving a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 98.0
Deduct 104 from 109 and we're left with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 13

Let's proceed to step 5:
If we divide 56 by 13, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 984.0
If we take 52 away from 56, we end up with 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 13

Moving on to step 6:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 9843.0
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 9843.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
If we divide 100 by 13, we get 7 and a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 9843.07
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 9:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 9843.076
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 9843.0769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 9843.07692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 9843.076923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 13:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 9843.076923
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 9843.07692307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 9843.07692307 and a remainder of 9e-09.