We divide 55137 by 45
We're looking to find how many times 45 goes into 55137.

On to step 1:
When dividing 5 by 45, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 45

Advancing to step 2:
45 goes into 55 1 times with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 45 from 55 and we're left with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 45

On to step 3:
When dividing 101 by 45, we get 2 with a remainder of 11.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 90 from 101 to get 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 45

Let's proceed to step 4:
113 divided by 45 is 2 with a remainder of 23.
Write down 2 as next digit of the result. 
Result so far: 122.0
Subtracting 90 from 113 leaves us with 23.
Grab the next digit (7) from the dividend, add it to 23, then carry on: 237 / 45

Let's proceed to step 5:
45 can be fit into 237 5 times, resulting in a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 1225.0
Subtract 225 from 237 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 6:
120 divided by 45 is 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 1225.2
Subtracting 90 from 120 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.

Moving on to step 7:
300 divided by 45 is 6 with a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 1225.26
If we take 270 away from 300, we end up 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.

On to step 8:
45 can be fit into 300 6 times, resulting in a remainder of 30.
The next digit of our result is 6. 
Result so far: 1225.266
Subtracting 270 from 300 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.

In conclusion, the division gives 1225.266 with a balance of 0.003.