We're dividing 138613 by 45 
We're looking to find how many times 45 goes into 138613.

Advancing to step 1:
45 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 45

Let's proceed to step 2:
13 divided by 45 is 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Grab the next digit (8) from the dividend, add it to 13, then carry on: 138 / 45

Going ahead to step 3:
When dividing 138 by 45, we get 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 3 after subtracting 135 from 138.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 45

On to step 4:
When dividing 36 by 45, we get 0 with a remainder of 36.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
The remainder is 36 after subtracting 0 from 36.
Grab the next digit (1) from the dividend, add it to 36, then carry on: 361 / 45

On to step 5:
45 goes into 361 8 times with a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 308.0
The remainder is 1 after subtracting 360 from 361.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 45

On to step 6:
45 can be fit into 13 0 times, resulting in a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 3080.0
Deduct 0 from 13 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
The number 45 fits into 130 2 times, leaving a remainder of 40.
Record the quotient 2 as the next digit in the result. 
Result so far: 3080.2
The remainder is 40 after subtracting 90 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
400 divided by 45 is 8 with a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 3080.28
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
If we divide 400 by 45, we get 8 and a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 3080.288
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 3080.288 with a balance of 0.004.