We divide 469686 by 13
We want to divide 469686 by 13.

Going ahead to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Step 2:
The number 13 fits into 46 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 39 from 46, we get 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 13

On to step 3:
79 divided by 13 is 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
Deduct 78 from 79 and we're left with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 13

Going ahead to step 4:
When dividing 16 by 13, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 361.0
Subtract 13 from 16 to get 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 13

Step 5:
38 divided by 13 is 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 3612.0
Subtract 26 from 38 to get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 13

Going ahead to step 6:
When dividing 126 by 13, we get 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 36129.0
Deduct 117 from 126 and we're left 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.

On to step 7:
When dividing 90 by 13, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 36129.6
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.

On to step 8:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 36129.69
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.

Step 9:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 36129.692
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.

Let's proceed to step 10:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 36129.6923
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.

Step 11:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 36129.6923
If we subtract 0 from 10, we 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.

Advancing to step 12:
100 divided by 13 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 36129.692307
Deduct 91 from 100 and we're left 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.

Step 13:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 36129.6923076
Deduct 78 from 90 and we're left 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.

Advancing to step 14:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 36129.69230769
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.

After the division, we end up with 36129.69230769 and a remainder of 3e-09.