238310 ÷ 13 
We're looking to find how many times 13 goes into 238310.

Let's proceed to step 1:
13 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 13

Advancing to step 2:
13 can be fit into 23 1 times, resulting in a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
If we take 13 away from 23, we end up with 10.
Fetch the next digit (8) from the dividend, attach it to 10 and continue: 108 / 13

Going ahead to step 3:
13 goes into 108 8 times with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 18.0
The remainder is 4 after subtracting 104 from 108.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 13

Moving on to step 4:
43 divided by 13 is 3 with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 183.0
If we subtract 39 from 43, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 13

Advancing to step 5:
13 can be fit into 41 3 times, resulting in a remainder of 2.
The next digit of our result is 3. 
Result so far: 1833.0
If we take 39 away from 41, we end up with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 13

Moving on to step 6:
When dividing 20 by 13, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 18331.0
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.

Step 7:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 18331.5
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.
Use 3 as the next digit of our solution. 
Result so far: 18331.53
Subtract 39 from 50 to 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 9:
13 goes into 110 8 times with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 18331.538
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.

On to step 10:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 18331.5384
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 11:
80 divided by 13 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 18331.53846
The remainder is 2 after subtracting 78 from 80.
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 12:
If we divide 20 by 13, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 18331.538461
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.

On to step 13:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 18331.5384615
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.

Advancing to step 14:
50 divided by 13 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 18331.53846153
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.

The final result is 18331.53846153 with a remainder of 1.1e-08.