We're dividing 171329 by 59 
Let's see how many times 59 fits into 171329.

Step 1:
The number 59 fits into 1 0 times, leaving 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.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 59

On to step 2:
The number 59 fits into 17 0 times, leaving a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 59

Let's proceed to step 3:
59 goes into 171 2 times with a remainder of 53.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 118 from 171 to get 53.
Fetch the next digit (3) from the dividend, attach it to 53 and continue: 533 / 59

Advancing to step 4:
The number 59 fits into 533 9 times, leaving a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 29.0
If we subtract 531 from 533, we get 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 59

Going ahead to step 5:
If we divide 22 by 59, we get 0 and a remainder of 22.
Write down 0 as next digit of the result. 
Result so far: 290.0
Deduct 0 from 22 and we're left with 22.
Grab the next digit (9) from the dividend, add it to 22, then carry on: 229 / 59

On to step 6:
59 goes into 229 3 times with a remainder of 52.
The next digit of our result is 3. 
Result so far: 2903.0
If we subtract 177 from 229, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 7:
59 goes into 520 8 times with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 2903.8
If we take 472 away from 520, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 8:
The number 59 fits into 480 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 2903.88
Subtract 472 from 480 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.

The final outcome is 2903.88, with a leftover of 0.008.