We look at the division of 565537 by 44 
Our goal is to divide 565537 by 44.

Moving on to step 1:
The number 44 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 44

Step 2:
56 divided by 44 is 1 with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 44 from 56, we get 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 44

Step 3:
The number 44 fits into 125 2 times, leaving a remainder of 37.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 37 after subtracting 88 from 125.
Take the next digit (5) from the dividend and append it to 37, then repeat: 375 / 44

On to step 4:
If we divide 375 by 44, we get 8 and a remainder of 23.
The next digit of our result is 8. 
Result so far: 128.0
Deduct 352 from 375 and we're left with 23.
Include the next digit (3) from the dividend after 23, then repeat: 233 / 44

Let's proceed to step 5:
If we divide 233 by 44, we get 5 and a remainder of 13.
Use 5 as the next digit of our solution. 
Result so far: 1285.0
If we subtract 220 from 233, we get 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 44

Advancing to step 6:
44 goes into 137 3 times with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 12853.0
The remainder is 5 after subtracting 132 from 137.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
When dividing 50 by 44, we get 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 12853.1
Subtract 44 from 50 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
When dividing 60 by 44, we get 1 with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 12853.11
Subtracting 44 from 60 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 12853.11 with a remainder of 0.016.