517885 ÷ 44 
We're looking to find how many times 44 goes into 517885.

Let's proceed to step 1:
44 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 44

Moving on to step 2:
The number 44 fits into 51 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 44 from 51 and we're left with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 44

Going ahead to step 3:
77 divided by 44 is 1 with a remainder of 33.
The next digit of our result is 1. 
Result so far: 11.0
Subtract 44 from 77 to get 33.
Take the next digit (8) from the dividend and append it to 33, then repeat: 338 / 44

Let's proceed to step 4:
If we divide 338 by 44, we get 7 and a remainder of 30.
The number 7 becomes the next digit in our result. 
Result so far: 117.0
Subtract 308 from 338 to get 30.
Take the next digit (8) from the dividend and append it to 30, then repeat: 308 / 44

Advancing to step 5:
44 goes into 308 7 times with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 1177.0
If we take 308 away from 308, we end up with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 44

On to step 6:
44 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 11770.0
If we subtract 0 from 5, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed 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: 11770.1
If we subtract 44 from 50, we 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.

Going ahead to step 8:
If we divide 60 by 44, we get 1 and a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 11770.11
Subtract 44 from 60 to get 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 11770.11 with a remainder of 0.016.