We look at the division of 137555 by 44 
Let's see how many times 44 fits into 137555.

Moving on to step 1:
The number 44 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.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 44

Moving on to step 2:
44 goes into 13 0 times with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 44

On to step 3:
137 divided by 44 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 132 from 137 and we're left with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 44

Advancing to step 4:
55 divided by 44 is 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 31.0
The remainder is 11 after subtracting 44 from 55.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 44

On to step 5:
If we divide 115 by 44, we get 2 and a remainder of 27.
Record the quotient 2 as the next digit in the result. 
Result so far: 312.0
The remainder is 27 after subtracting 88 from 115.
Grab the next digit (5) from the dividend, add it to 27, then carry on: 275 / 44

Moving on to step 6:
The number 44 fits into 275 6 times, leaving a remainder of 11.
The next digit of our result is 6. 
Result so far: 3126.0
The remainder is 11 after subtracting 264 from 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
110 divided by 44 is 2 with a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 3126.2
Deduct 88 from 110 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 8:
220 divided by 44 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 3126.25
If we take 220 away from 220, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
When dividing 0 by 44, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 3126.25
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
44 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 3126.25
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 3126.25 with a remainder of 0.0.