664385 ÷ 13 
We're looking to find how many times 13 goes into 664385.

Let's proceed to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 13

Advancing to step 2:
13 can be fit into 66 5 times, resulting in a remainder of 1.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 1 after subtracting 65 from 66.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 13

Advancing to step 3:
When dividing 14 by 13, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 51.0
If we subtract 13 from 14, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 13

Advancing to step 4:
13 goes into 13 1 times with a remainder of 0.
The next digit of our result is 1. 
Result so far: 511.0
If we take 13 away from 13, we end up with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 13

Step 5:
13 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 5110.0
If we subtract 0 from 8, we get 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 13

On to step 6:
13 can be fit into 85 6 times, resulting in a remainder of 7.
The next digit of our result is 6. 
Result so far: 51106.0
If we subtract 78 from 85, 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.

Let's proceed to step 7:
70 divided by 13 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 51106.5
Subtract 65 from 70 to 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.

Moving on to step 8:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 51106.53
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:
If we divide 110 by 13, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 51106.538
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 10:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 51106.5384
If we take 52 away from 60, we end up 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.

Step 11:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 51106.53846
Deduct 78 from 80 and we're left 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.

Let's proceed to step 12:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 51106.538461
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.

Moving on to step 13:
When dividing 70 by 13, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 51106.5384615
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:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 51106.53846153
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.

After the division, we end up with 51106.53846153 and a remainder of 1.1e-08.