We look at the division of 642233 by 13 
Our goal is to divide 642233 by 13.

Going ahead to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 13

On to step 2:
13 goes into 64 4 times with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 52 away from 64, we end up with 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 13

On to step 3:
13 goes into 122 9 times with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 49.0
Subtracting 117 from 122 leaves us with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 13

Let's proceed to step 4:
52 divided by 13 is 4 with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 494.0
Subtract 52 from 52 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 13

Going ahead to step 5:
If we divide 3 by 13, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 4940.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 13

Advancing to step 6:
If we divide 33 by 13, we get 2 and a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 49402.0
If we subtract 26 from 33, 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.

Step 7:
13 goes into 70 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 49402.5
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 can be fit into 50 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 49402.53
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.

Moving on to step 9:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 49402.538
Subtract 104 from 110 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.

Step 10:
When dividing 60 by 13, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 49402.5384
Deduct 52 from 60 and we're left 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.

Going ahead to step 11:
If we divide 80 by 13, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 49402.53846
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 12:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 49402.538461
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.

Going ahead to step 13:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 49402.5384615
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.

Moving on to step 14:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 49402.53846153
Deduct 39 from 50 and we're left 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 outcome is 49402.53846153, with a leftover of 1.1e-08.