We're dividing 171643 by 9 
Let's see how many times 9 fits into 171643.

Going ahead to step 1:
When dividing 1 by 9, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 9

On to step 2:
When dividing 17 by 9, we get 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 9 from 17, we get 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 9

Let's proceed to step 3:
81 divided by 9 is 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 19.0
Deduct 81 from 81 and we're left with 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 9

Moving on to step 4:
6 divided by 9 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 190.0
Subtract 0 from 6 to get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 9

Moving on to step 5:
When dividing 64 by 9, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 1907.0
If we take 63 away from 64, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 9

Let's proceed to step 6:
9 can be fit into 13 1 times, resulting in a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 19071.0
Subtracting 9 from 13 leaves us 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:
9 can be fit into 40 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 19071.4
If we subtract 36 from 40, we get 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 8:
The number 9 fits into 40 4 times, leaving a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 19071.44
Subtract 36 from 40 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 19071.44, with a leftover of 0.004.