102055 ÷ 13 
We're looking to find how many times 13 goes into 102055.

On to step 1:
If we divide 1 by 13, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 13

Moving on to step 2:
10 divided by 13 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 13

On to step 3:
When dividing 102 by 13, we get 7 with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 91 from 102 and we're left with 11.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 13

Going ahead to step 4:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 78.0
Subtract 104 from 110 to get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 13

On to step 5:
When dividing 65 by 13, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 785.0
Subtracting 65 from 65 leaves us with 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 13

Step 6:
If we divide 5 by 13, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 7850.0
Deduct 0 from 5 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 7850.3
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
When dividing 110 by 13, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 7850.38
If we subtract 104 from 110, we get 6.
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:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 7850.384
The remainder is 8 after subtracting 52 from 60.
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 goes into 80 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 7850.3846
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:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 7850.38461
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.

Moving on to step 12:
When dividing 70 by 13, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 7850.384615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
13 goes into 50 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 7850.3846153
If we take 39 away from 50, we end up with 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:
If we divide 110 by 13, we get 8 and a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 7850.38461538
If we take 104 away from 110, we end up 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.

The final result is 7850.38461538 with a remainder of 6e-09.