We look at the division of 71699257 by 13 
We're looking to find how many times 13 goes into 71699257.

Step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 13

On to step 2:
The number 13 fits into 71 5 times, leaving a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 65 from 71 leaves us with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 13

Moving on to step 3:
If we divide 66 by 13, we get 5 and a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
Deduct 65 from 66 and we're left with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 13

Let's proceed to step 4:
13 goes into 19 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 551.0
The remainder is 6 after subtracting 13 from 19.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 13

Step 5:
13 goes into 69 5 times with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 5515.0
The remainder is 4 after subtracting 65 from 69.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 13

Let's proceed to step 6:
13 goes into 42 3 times with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 55153.0
Subtracting 39 from 42 leaves us with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 13

Step 7:
35 divided by 13 is 2 with a remainder of 9.
The next digit of our result is 2. 
Result so far: 551532.0
Subtract 26 from 35 to get 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 13

Advancing to step 8:
13 can be fit into 97 7 times, resulting in a remainder of 6.
The next digit of our result is 7. 
Result so far: 5515327.0
The remainder is 6 after subtracting 91 from 97.
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 9:
If we divide 60 by 13, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 5515327.4
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.

Advancing to step 10:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 5515327.46
Subtract 78 from 80 to 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.

Let's proceed to step 11:
When dividing 20 by 13, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 5515327.461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 5515327.4615
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 13:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 5515327.46153
If we subtract 39 from 50, we 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.

Advancing to step 14:
13 goes into 110 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 5515327.461538
Subtracting 104 from 110 leaves us 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.

Going ahead to step 15:
When dividing 60 by 13, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 5515327.4615384
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 16:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 5515327.46153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 5515327.46153846, with a leftover of 2e-09.