17119 divided by 18 
We're looking to find how many times 18 goes into 17119.

On to step 1:
18 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: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 18

Going ahead to step 2:
18 goes into 17 0 times with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 18

Let's proceed to step 3:
18 goes into 171 9 times with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 162 from 171 to get 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 18

Going ahead to step 4:
The number 18 fits into 91 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 95.0
The remainder is 1 after subtracting 90 from 91.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 18

Step 5:
19 divided by 18 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 951.0
Subtracting 18 from 19 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
When dividing 10 by 18, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 951.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
18 can be fit into 100 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 951.05
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
100 divided by 18 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 951.055
If we subtract 90 from 100, we 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.

The quotient of the division is 951.055, and the remainder is 0.001.