We look at the division of 75609769 by 13 
We want to figure out the number of times 75609769 can be divided by 13.

Let's proceed to step 1:
The number 13 fits into 7 0 times, leaving 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.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 13

Step 2:
The number 13 fits into 75 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 65 from 75, we get 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 13

On to step 3:
When dividing 106 by 13, we get 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
Subtracting 104 from 106 leaves us with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 13

Moving on to step 4:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 581.0
The remainder is 7 after subtracting 13 from 20.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 13

On to step 5:
When dividing 79 by 13, we get 6 with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 5816.0
Subtract 78 from 79 to get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 13

Step 6:
13 can be fit into 17 1 times, resulting in a remainder of 4.
The next digit of our result is 1. 
Result so far: 58161.0
If we take 13 away from 17, we end up with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 13

Let's proceed to step 7:
When dividing 46 by 13, we get 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 581613.0
Subtract 39 from 46 to get 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 13

Going ahead to step 8:
13 can be fit into 79 6 times, resulting in a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 5816136.0
Subtracting 78 from 79 leaves us with 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 9:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 5816136.0
The remainder is 10 after subtracting 0 from 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 10:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 5816136.07
Subtracting 91 from 100 leaves us 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.

Going ahead to step 11:
90 divided by 13 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 5816136.076
Subtracting 78 from 90 leaves us 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.

Let's proceed to step 12:
When dividing 120 by 13, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 5816136.0769
Deduct 117 from 120 and we're left 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.

Advancing to step 13:
30 divided by 13 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 5816136.07692
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 5816136.076923
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 15:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 5816136.076923
Subtract 0 from 10 to 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 16:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 5816136.07692307
If we take 91 away from 100, we end up 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.

Our division results in 5816136.07692307 with a remaining 9e-09.