We divide 139638 by 45
We're looking to find how many times 45 goes into 139638.

Going ahead to step 1:
The number 45 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 45

Advancing to step 2:
If we divide 13 by 45, we get 0 and a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 45

Let's proceed to step 3:
The number 45 fits into 139 3 times, leaving a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 135 from 139, we get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 45

Going ahead to step 4:
46 divided by 45 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
If we take 45 away from 46, we end up with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 45

Moving on to step 5:
If we divide 13 by 45, we get 0 and a remainder of 13.
The next digit of our result is 0. 
Result so far: 310.0
If we subtract 0 from 13, we get 13.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 45

On to step 6:
The number 45 fits into 138 3 times, leaving a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 3103.0
The remainder is 3 after subtracting 135 from 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
45 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 3103.0
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
The number 45 fits into 300 6 times, leaving a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 3103.06
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
45 can be fit into 300 6 times, resulting in a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 3103.066
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 3103.066, and the remainder is 0.003.