We look at the division of 138209 by 25 
We want to divide 138209 by 25.

Going ahead to step 1:
When dividing 1 by 25, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 25

Advancing to step 2:
If we divide 13 by 25, we get 0 and a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 25

Going ahead to step 3:
The number 25 fits into 138 5 times, leaving a remainder of 13.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 125 away from 138, we end up with 13.
Bring next digit (2) of the dividend behind the 13 and repeat the process: 132 / 25

Step 4:
25 can be fit into 132 5 times, resulting in a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
Subtracting 125 from 132 leaves us with 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 25

Let's proceed to step 5:
If we divide 70 by 25, we get 2 and a remainder of 20.
The next digit of our result is 2. 
Result so far: 552.0
If we subtract 50 from 70, we get 20.
Append the next digit (9) from the dividend to 20 and continue with: 209 / 25

Advancing to step 6:
When dividing 209 by 25, we get 8 with a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 5528.0
Subtract 200 from 209 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
25 can be fit into 90 3 times, resulting in a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 5528.3
If we take 75 away from 90, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
25 goes into 150 6 times with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 5528.36
Deduct 150 from 150 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5528.36
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 5528.36
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 5528.36, and the remainder is 0.0.