We look at the division of 71268906 by 13 
We're looking to find how many times 13 goes into 71268906.

Step 1:
13 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 13

Going ahead to step 2:
The number 13 fits into 71 5 times, leaving a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 65 from 71 leaves us with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 13

On to step 3:
62 divided by 13 is 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
Subtracting 52 from 62 leaves us with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 13

Moving on to step 4:
13 can be fit into 106 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 548.0
If we take 104 away from 106, we end up with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 13

Moving on to step 5:
The number 13 fits into 28 2 times, leaving a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 5482.0
Subtracting 26 from 28 leaves us with 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 13

Moving on to step 6:
When dividing 29 by 13, we get 2 with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 54822.0
If we take 26 away from 29, we end up with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 13

Advancing to step 7:
When dividing 30 by 13, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 548222.0
The remainder is 4 after subtracting 26 from 30.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 13

Step 8:
46 divided by 13 is 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 5482223.0
If we subtract 39 from 46, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 5482223.5
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
When dividing 50 by 13, we get 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 5482223.53
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 11:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 5482223.538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
When dividing 60 by 13, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 5482223.5384
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
When dividing 80 by 13, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 5482223.53846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 14:
When dividing 20 by 13, we get 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 5482223.538461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 15:
If we divide 70 by 13, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 5482223.5384615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 16:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 5482223.53846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 5482223.53846153 with a remainder of 1.1e-08.