566171 ÷ 59 
Our goal is to divide 566171 by 59.

Step 1:
The number 59 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 59

Going ahead to step 2:
If we divide 56 by 59, we get 0 and a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Bring next digit (6) of the dividend behind the 56 and repeat the process: 566 / 59

Step 3:
59 can be fit into 566 9 times, resulting in a remainder of 35.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 531 from 566 and we're left with 35.
Grab the next digit (1) from the dividend, add it to 35, then carry on: 351 / 59

Going ahead to step 4:
351 divided by 59 is 5 with a remainder of 56.
Put 5 as the next digit of the answer. 
Result so far: 95.0
If we subtract 295 from 351, we get 56.
Bring next digit (7) of the dividend behind the 56 and repeat the process: 567 / 59

Step 5:
59 can be fit into 567 9 times, resulting in a remainder of 36.
The next digit of our result is 9. 
Result so far: 959.0
If we subtract 531 from 567, we get 36.
Include the next digit (1) from the dividend after 36, then repeat: 361 / 59

Moving on to step 6:
When dividing 361 by 59, we get 6 with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 9596.0
Subtracting 354 from 361 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
70 divided by 59 is 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 9596.1
If we take 59 away from 70, we end up with 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 8:
110 divided by 59 is 1 with a remainder of 51.
Record the quotient 1 as the next digit in the result. 
Result so far: 9596.11
Subtract 59 from 110 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

In conclusion, the division gives 9596.11 with a balance of 0.051.