233067 ÷ 13 
Our goal is to divide 233067 by 13.

Step 1:
2 divided by 13 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 13

Advancing to step 2:
23 divided by 13 is 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 13 away from 23, we end up with 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 13

On to step 3:
When dividing 103 by 13, we get 7 with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Deduct 91 from 103 and we're left with 12.
Fetch the next digit (0) from the dividend, attach it to 12 and continue: 120 / 13

Let's proceed to step 4:
If we divide 120 by 13, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 179.0
The remainder is 3 after subtracting 117 from 120.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 13

Step 5:
13 can be fit into 36 2 times, resulting in a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 1792.0
Deduct 26 from 36 and we're left with 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 13

Step 6:
13 can be fit into 107 8 times, resulting in a remainder of 3.
The next digit of our result is 8. 
Result so far: 17928.0
Deduct 104 from 107 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
When dividing 30 by 13, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 17928.2
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
40 divided by 13 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 17928.23
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 17928.23
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
13 goes into 100 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 17928.2307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 11:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 17928.23076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
13 goes into 120 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 17928.230769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 13:
30 divided by 13 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 17928.2307692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
13 goes into 40 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 17928.23076923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 17928.23076923 with a remaining 1e-09.