We're dividing 104281 by 13 
We want to figure out the number of times 104281 can be divided by 13.

Advancing to step 1:
If we divide 1 by 13, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 13

Moving on to step 2:
When dividing 10 by 13, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 13

Advancing to step 3:
104 divided by 13 is 8 with a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 104 from 104, we get 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 13

Going ahead to step 4:
If we divide 2 by 13, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 80.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 13

Moving on to step 5:
13 goes into 28 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 802.0
If we subtract 26 from 28, we get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 13

On to step 6:
The number 13 fits into 21 1 times, leaving a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 8021.0
Subtracting 13 from 21 leaves us with 8.
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 7:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 8021.6
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 8021.61
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 8021.615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 8021.6153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 11:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 8021.61538
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.

Step 12:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 8021.615384
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.

Step 13:
80 divided by 13 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 8021.6153846
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 8021.61538461
Deduct 13 from 20 and we're left 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.

After the division, we end up with 8021.61538461 and a remainder of 7e-09.