13055 divided by 13 
We're looking to find how many times 13 goes into 13055.

Advancing to step 1:
1 divided by 13 is 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.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 13

Advancing to step 2:
The number 13 fits into 13 1 times, leaving a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 13 from 13 to get 0.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 13

On to step 3:
13 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 0 after subtracting 0 from 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 13

Moving on to step 4:
13 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 100.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 13

Step 5:
13 can be fit into 55 4 times, resulting in a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 1004.0
Deduct 52 from 55 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.

Step 6:
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: 1004.2
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.

On to step 7:
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: 1004.23
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.

Step 8:
When dividing 10 by 13, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 1004.23
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.

Going ahead to step 9:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 1004.2307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 10:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 1004.23076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
13 goes into 120 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 1004.230769
If we take 117 away from 120, we end up 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.

Moving on to step 12:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 1004.2307692
If we take 26 away from 30, we end up 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.

Going ahead to step 13:
If we divide 40 by 13, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 1004.23076923
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.

In conclusion, the division gives 1004.23076923 with a balance of 1e-09.