We divide 107522 by 13
We want to figure out the number of times 107522 can be divided by 13.

Advancing to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 13

Advancing to step 2:
When dividing 10 by 13, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 13

Moving on to step 3:
107 divided by 13 is 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 104 from 107, we get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 13

Advancing to step 4:
If we divide 35 by 13, we get 2 and a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 82.0
If we take 26 away from 35, we end up with 9.
Take the next digit (2) from the dividend and append it to 9, then repeat: 92 / 13

On to step 5:
13 goes into 92 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 827.0
Subtract 91 from 92 to get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 13

Going ahead to step 6:
The number 13 fits into 12 0 times, leaving a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 8270.0
Subtracting 0 from 12 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.

Step 7:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 8270.9
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.

Going ahead to step 8:
13 goes into 30 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 8270.92
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.

Let's proceed to step 9:
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: 8270.923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
If we divide 10 by 13, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 8270.923
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.

Going ahead to step 11:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 8270.92307
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.

Advancing to step 12:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 8270.923076
If we subtract 78 from 90, we 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.

Advancing to step 13:
When dividing 120 by 13, we get 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 8270.9230769
Subtracting 117 from 120 leaves us 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 14:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 8270.92307692
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.

In conclusion, the division gives 8270.92307692 with a balance of 4e-09.