404177 ÷ 13 
Our goal is to divide 404177 by 13.

Going ahead to step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 13

Let's proceed to step 2:
When dividing 40 by 13, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 39 away from 40, we end up with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 13

Moving on to step 3:
13 goes into 14 1 times with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 31.0
Deduct 13 from 14 and we're left with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 13

Moving on to step 4:
The number 13 fits into 11 0 times, leaving a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 310.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 13

Step 5:
13 goes into 117 9 times with a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 3109.0
If we subtract 117 from 117, we get 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 13

Step 6:
The number 13 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 31090.0
If we subtract 0 from 7, 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.

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: 31090.5
Deduct 65 from 70 and we're left 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.

Moving on to step 8:
13 goes into 50 3 times with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 31090.53
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.

Going ahead to step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 31090.538
Subtract 104 from 110 to 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.

Moving on to step 10:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 31090.5384
Deduct 52 from 60 and we're left 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.

Let's proceed to step 11:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 31090.53846
If we take 78 away from 80, we end up 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.

Moving on to step 12:
20 divided by 13 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 31090.538461
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.

Moving on to step 13:
If we divide 70 by 13, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 31090.5384615
Subtracting 65 from 70 leaves us 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.

Moving on to step 14:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 31090.53846153
The remainder is 11 after subtracting 39 from 50.
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 31090.53846153 and a remainder of 1.1e-08.