139588 divided by 45 
We're looking to find how many times 45 goes into 139588.

Advancing to step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 45

Going ahead to step 2:
The number 45 fits into 13 0 times, leaving a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Grab the next digit (9) from the dividend, add it to 13, then carry on: 139 / 45

Step 3:
139 divided by 45 is 3 with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 135 from 139 and we're left with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 45

Step 4:
45 can be fit into 45 1 times, resulting in a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 31.0
Subtracting 45 from 45 leaves us with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 45

Step 5:
8 divided by 45 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 310.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 45

On to step 6:
45 goes into 88 1 times with a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 3101.0
If we take 45 away from 88, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 7:
45 goes into 430 9 times with a remainder of 25.
The next digit of our result is 9. 
Result so far: 3101.9
If we take 405 away from 430, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
If we divide 250 by 45, we get 5 and a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 3101.95
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
When dividing 250 by 45, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 3101.955
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 3101.955 with a remainder of 0.0025.