385405 ÷ 13 
We're looking to find how many times 13 goes into 385405.

Let's proceed to step 1:
13 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 13

Going ahead to step 2:
38 divided by 13 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 12 after subtracting 26 from 38.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 13

Advancing to step 3:
When dividing 125 by 13, we get 9 with a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 29.0
If we take 117 away from 125, we end up with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 13

Step 4:
When dividing 84 by 13, we get 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 296.0
Deduct 78 from 84 and we're left with 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 13

On to step 5:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 2964.0
Deduct 52 from 60 and we're left with 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 13

Let's proceed to step 6:
13 goes into 85 6 times with a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 29646.0
If we take 78 away from 85, we end up 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.

Advancing to step 7:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 29646.5
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.

Advancing to step 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 29646.53
Subtracting 39 from 50 leaves us 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.

Let's proceed to step 9:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 29646.538
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:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 29646.5384
Subtracting 52 from 60 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.

Step 11:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 29646.53846
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.

Let's proceed to step 12:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 29646.538461
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.

Advancing to step 13:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 29646.5384615
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.

On to step 14:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 29646.53846153
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.

After the division, we end up with 29646.53846153 and a remainder of 1.1e-08.