Let's divide 415176 by 13
Our goal is to divide 415176 by 13.

Going ahead to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 13

Going ahead to step 2:
41 divided by 13 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 2 after subtracting 39 from 41.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 13

Moving on to step 3:
25 divided by 13 is 1 with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
Deduct 13 from 25 and we're left with 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 13

Step 4:
If we divide 121 by 13, we get 9 and a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 319.0
If we take 117 away from 121, we end up with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 13

Advancing to step 5:
13 goes into 47 3 times with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3193.0
If we subtract 39 from 47, we get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 13

On to step 6:
The number 13 fits into 86 6 times, leaving a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 31936.0
Deduct 78 from 86 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 7:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 31936.6
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.

Step 8:
When dividing 20 by 13, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 31936.61
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 9:
If we divide 70 by 13, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 31936.615
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.

Advancing to step 10:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 31936.6153
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.

On to step 11:
When dividing 110 by 13, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 31936.61538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
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: 31936.615384
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.

Going ahead to step 13:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 31936.6153846
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 14:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 31936.61538461
If we take 13 away from 20, 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.

After the division, we end up with 31936.61538461 and a remainder of 7e-09.