We look at the division of 126686 by 44 
Let's see how many times 44 fits into 126686.

Moving on to step 1:
The number 44 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 44

Step 2:
If we divide 12 by 44, we get 0 and a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 44

Moving on to step 3:
When dividing 126 by 44, we get 2 with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 88 from 126 leaves us with 38.
Bring next digit (6) of the dividend behind the 38 and repeat the process: 386 / 44

Step 4:
If we divide 386 by 44, we get 8 and a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 28.0
If we take 352 away from 386, we end up with 34.
Include the next digit (8) from the dividend after 34, then repeat: 348 / 44

Going ahead to step 5:
44 can be fit into 348 7 times, resulting in a remainder of 40.
The number 7 becomes the next digit in our result. 
Result so far: 287.0
If we subtract 308 from 348, we get 40.
Bring next digit (6) of the dividend behind the 40 and repeat the process: 406 / 44

Moving on to step 6:
When dividing 406 by 44, we get 9 with a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 2879.0
Subtract 396 from 406 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
44 goes into 100 2 times with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 2879.2
Subtract 88 from 100 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 8:
The number 44 fits into 120 2 times, leaving a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 2879.22
Subtract 88 from 120 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 2879.22 with a remainder of 0.032.