We look at the division of 467669 by 13 
We're looking to find how many times 13 goes into 467669.

On to step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 13

Let's proceed to step 2:
13 can be fit into 46 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 39 from 46 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 13

Step 3:
13 can be fit into 77 5 times, resulting in a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 35.0
Subtracting 65 from 77 leaves us with 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 13

Step 4:
The number 13 fits into 126 9 times, leaving a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 359.0
Subtract 117 from 126 to get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 13

Let's proceed to step 5:
96 divided by 13 is 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 3597.0
If we subtract 91 from 96, we get 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 13

Step 6:
If we divide 59 by 13, we get 4 and a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 35974.0
If we subtract 52 from 59, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 35974.5
If we subtract 65 from 70, we get 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 8:
If we divide 50 by 13, we get 3 and a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 35974.53
Deduct 39 from 50 and we're left 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 9:
110 divided by 13 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 35974.538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 35974.5384
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.

Let's proceed to step 11:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 35974.53846
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.

Advancing to step 12:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 35974.538461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 13:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 35974.5384615
If we take 65 away from 70, we end up 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.

Let's proceed to step 14:
When dividing 50 by 13, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 35974.53846153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 35974.53846153 and a remainder of 1.1e-08.