We're dividing 171059 by 89 
We're looking to find how many times 89 goes into 171059.

On to step 1:
If we divide 1 by 89, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 89

Going ahead to step 2:
89 goes into 17 0 times with a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Append the next digit (1) from the dividend to 17 and continue with: 171 / 89

Step 3:
The number 89 fits into 171 1 times, leaving a remainder of 82.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 89 away from 171, we end up with 82.
Append the next digit (0) from the dividend to 82 and continue with: 820 / 89

Step 4:
89 goes into 820 9 times with a remainder of 19.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Subtracting 801 from 820 leaves us with 19.
Include the next digit (5) from the dividend after 19, then repeat: 195 / 89

Advancing to step 5:
The number 89 fits into 195 2 times, leaving a remainder of 17.
Record the quotient 2 as the next digit in the result. 
Result so far: 192.0
If we subtract 178 from 195, we get 17.
Fetch the next digit (9) from the dividend, attach it to 17 and continue: 179 / 89

Advancing to step 6:
179 divided by 89 is 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 1922.0
If we take 178 away from 179, we end up 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.

Moving on to step 7:
10 divided by 89 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 1922.0
Deduct 0 from 10 and we're left 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:
When dividing 100 by 89, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 1922.01
If we subtract 89 from 100, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
The number 89 fits into 110 1 times, leaving a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 1922.011
Subtracting 89 from 110 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

After the division, we end up with 1922.011 and a remainder of 0.0021.