517889 ÷ 5 
We're looking to find how many times 5 goes into 517889.

Going ahead to step 1:
5 goes into 5 1 times with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 5 from 5 leaves us with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 5

Advancing to step 2:
5 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 5

Let's proceed to step 3:
5 can be fit into 17 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 103.0
If we take 15 away from 17, we end up with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 5

Let's proceed to step 4:
If we divide 28 by 5, we get 5 and a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 1035.0
Deduct 25 from 28 and we're left with 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 5

Moving on to step 5:
If we divide 38 by 5, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 10357.0
The remainder is 3 after subtracting 35 from 38.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 5

Step 6:
5 can be fit into 39 7 times, resulting in a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 103577.0
If we take 35 away from 39, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
The number 5 fits into 40 8 times, leaving a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 103577.8
If we take 40 away from 40, 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.

Advancing to step 8:
When dividing 0 by 5, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 103577.8
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.

Advancing to step 9:
5 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 103577.8
The remainder is 0 after subtracting 0 from 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 103577.8 with a remainder of 0.0.