Let's divide 317644 by 13
Our goal is to divide 317644 by 13.

Let's proceed to step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 13

Moving on to step 2:
13 can be fit into 31 2 times, resulting in a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 26 from 31, we get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 13

Moving on to step 3:
When dividing 57 by 13, we get 4 with a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
Subtract 52 from 57 to get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 13

Step 4:
When dividing 56 by 13, we get 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 244.0
Deduct 52 from 56 and we're left with 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 13

Going ahead to step 5:
When dividing 44 by 13, we get 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 2443.0
Subtracting 39 from 44 leaves us with 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 13

Let's proceed to step 6:
13 goes into 54 4 times with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 24434.0
If we take 52 away from 54, 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.

On to step 7:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 24434.1
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 8:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 24434.15
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.

Let's proceed to step 9:
50 divided by 13 is 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 24434.153
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.

On to step 10:
If we divide 110 by 13, we get 8 and a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 24434.1538
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.

Step 11:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 24434.15384
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.

On to step 12:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 24434.153846
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 13:
20 divided by 13 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 24434.1538461
The remainder is 7 after subtracting 13 from 20.
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 14:
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: 24434.15384615
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.

In conclusion, the division gives 24434.15384615 with a balance of 5e-09.