We divide 415344 by 13
Our goal is to divide 415344 by 13.

Advancing to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 13

Moving on to step 2:
The number 13 fits into 41 3 times, leaving a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 39 from 41 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 13

Moving on to step 3:
13 goes into 25 1 times with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
Subtract 13 from 25 to get 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 13

Moving on to step 4:
If we divide 123 by 13, we get 9 and a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 319.0
If we subtract 117 from 123, we get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 13

Step 5:
The number 13 fits into 64 4 times, leaving a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 3194.0
Subtracting 52 from 64 leaves us with 12.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 13

Advancing to step 6:
If we divide 124 by 13, we get 9 and a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 31949.0
Subtract 117 from 124 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 7:
If we divide 70 by 13, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 31949.5
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.

On to step 8:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 31949.53
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.

Advancing to step 9:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 31949.538
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.

Let's proceed to step 10:
If we divide 60 by 13, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 31949.5384
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:
80 divided by 13 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 31949.53846
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:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 31949.538461
If we subtract 13 from 20, 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.

Moving on to step 13:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 31949.5384615
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.

Going ahead to step 14:
If we divide 50 by 13, we get 3 and a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 31949.53846153
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.

Our division results in 31949.53846153 with a remaining 1.1e-08.