We're dividing 171584 by 18 
Let's see how many times 18 fits into 171584.

Step 1:
18 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 18

Moving on to step 2:
The number 18 fits into 17 0 times, leaving a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 18

Moving on to step 3:
18 goes into 171 9 times with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we subtract 162 from 171, we get 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 18

Advancing to step 4:
18 goes into 95 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 95.0
Deduct 90 from 95 and we're left with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 18

Going ahead to step 5:
58 divided by 18 is 3 with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 953.0
If we subtract 54 from 58, we get 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 18

Step 6:
When dividing 44 by 18, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 9532.0
Subtract 36 from 44 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
The number 18 fits into 80 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 9532.4
Subtracting 72 from 80 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 8:
18 can be fit into 80 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 9532.44
Deduct 72 from 80 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 9532.44, with a leftover of 0.008.