We look at the division of 138638 by 6 
We're looking to find how many times 6 goes into 138638.

Advancing to step 1:
1 divided by 6 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 6

Let's proceed to step 2:
6 can be fit into 13 2 times, resulting in a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 12 away from 13, we end up with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 6

Let's proceed to step 3:
The number 6 fits into 18 3 times, leaving a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 23.0
The remainder is 0 after subtracting 18 from 18.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 6

Step 4:
6 can be fit into 6 1 times, resulting in a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 231.0
Subtract 6 from 6 to get 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 6

Advancing to step 5:
6 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 2310.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 6

On to step 6:
If we divide 38 by 6, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 23106.0
Subtract 36 from 38 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 7:
If we divide 20 by 6, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 23106.3
Deduct 18 from 20 and we're left 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 8:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 23106.33
If we take 18 away from 20, 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.

The final result is 23106.33 with a remainder of 0.002.