318103 ÷ 13 
We're looking to find how many times 13 goes into 318103.

On to step 1:
13 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 13

Moving on to step 2:
If we divide 31 by 13, we get 2 and a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 26 from 31 to get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 13

Advancing to step 3:
58 divided by 13 is 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
If we subtract 52 from 58, we get 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 13

Moving on to step 4:
13 goes into 61 4 times with a remainder of 9.
The next digit of our result is 4. 
Result so far: 244.0
If we take 52 away from 61, we end up with 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 13

On to step 5:
13 goes into 90 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 2446.0
Subtracting 78 from 90 leaves us with 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 13

Let's proceed to step 6:
123 divided by 13 is 9 with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 24469.0
Subtract 117 from 123 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.

Going ahead to step 7:
60 divided by 13 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 24469.4
The remainder is 8 after subtracting 52 from 60.
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 8:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 24469.46
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 24469.461
Subtracting 13 from 20 leaves us 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.

Step 10:
13 goes into 70 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 24469.4615
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.

Let's proceed to step 11:
If we divide 50 by 13, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 24469.46153
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.

Step 12:
If we divide 110 by 13, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 24469.461538
Subtracting 104 from 110 leaves us 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 13:
When dividing 60 by 13, we get 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 24469.4615384
The remainder is 8 after subtracting 52 from 60.
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 14:
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: 24469.46153846
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 24469.46153846 with a balance of 2e-09.