Let's divide 75521 by 13
We want to figure out the number of times 75521 can be divided by 13.

Step 1:
13 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 13

Advancing to step 2:
When dividing 75 by 13, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 65 from 75 to get 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 13

Going ahead to step 3:
If we divide 105 by 13, we get 8 and a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 58.0
If we subtract 104 from 105, we get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 13

On to step 4:
12 divided by 13 is 0 with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 580.0
Deduct 0 from 12 and we're left with 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 13

Advancing to step 5:
13 goes into 121 9 times with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 5809.0
The remainder is 4 after subtracting 117 from 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 6:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 5809.3
Deduct 39 from 40 and we're left 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 7:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 5809.3
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:
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: 5809.307
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.

Moving on to step 9:
13 goes into 90 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 5809.3076
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
13 goes into 120 9 times with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 5809.30769
Subtract 117 from 120 to get 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 11:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 5809.307692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
40 divided by 13 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 5809.3076923
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.

Let's proceed to step 13:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 5809.3076923
Subtracting 0 from 10 leaves us 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.

The final outcome is 5809.3076923, with a leftover of 1e-08.