We're dividing 136878 by 45 
We want to divide 136878 by 45.

Moving on to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 45

Let's proceed to step 2:
45 can be fit into 13 0 times, resulting in a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 45

Step 3:
45 can be fit into 136 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 135 from 136 leaves us with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 45

Moving on to step 4:
The number 45 fits into 18 0 times, leaving a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
If we take 0 away from 18, we end up with 18.
Bring next digit (7) of the dividend behind the 18 and repeat the process: 187 / 45

Step 5:
When dividing 187 by 45, we get 4 with a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 304.0
The remainder is 7 after subtracting 180 from 187.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 45

Going ahead to step 6:
45 goes into 78 1 times with a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 3041.0
If we take 45 away from 78, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 7:
45 can be fit into 330 7 times, resulting in a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 3041.7
Deduct 315 from 330 and we're left 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.

Moving on to step 8:
45 goes into 150 3 times with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 3041.73
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
When dividing 150 by 45, we get 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 3041.733
Subtracting 135 from 150 leaves us 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.

In conclusion, the division gives 3041.733 with a balance of 0.0015.