We divide 102469 by 13
We want to figure out the number of times 102469 can be divided by 13.

Step 1:
13 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 13

Step 2:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
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

Let's proceed to step 3:
13 can be fit into 102 7 times, resulting in a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 91 from 102, we get 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 13

Let's proceed to step 4:
13 goes into 114 8 times with a remainder of 10.
The next digit of our result is 8. 
Result so far: 78.0
The remainder is 10 after subtracting 104 from 114.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 13

Going ahead to step 5:
The number 13 fits into 106 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 788.0
The remainder is 2 after subtracting 104 from 106.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 13

On to step 6:
The number 13 fits into 29 2 times, leaving a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 7882.0
Subtract 26 from 29 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.

Let's proceed to step 7:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 7882.2
Subtracting 26 from 30 leaves us 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.

Step 8:
When dividing 40 by 13, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 7882.23
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.

Moving on to step 9:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 7882.23
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.

Advancing to step 10:
If we divide 100 by 13, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 7882.2307
The remainder is 9 after subtracting 91 from 100.
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 11:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 7882.23076
Subtracting 78 from 90 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.

Moving on to step 12:
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: 7882.230769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
When dividing 30 by 13, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 7882.2307692
Subtracting 26 from 30 leaves us 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.

On to step 14:
40 divided by 13 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 7882.23076923
Subtract 39 from 40 to 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.

The quotient of the division is 7882.23076923, and the remainder is 1e-09.