580967 ÷ 59 
Our goal is to divide 580967 by 59.

Advancing to step 1:
59 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 59

On to step 2:
59 can be fit into 58 0 times, resulting in a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Append the next digit (0) from the dividend to 58 and continue with: 580 / 59

Let's proceed to step 3:
If we divide 580 by 59, we get 9 and a remainder of 49.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 531 from 580, we get 49.
Grab the next digit (9) from the dividend, add it to 49, then carry on: 499 / 59

Advancing to step 4:
The number 59 fits into 499 8 times, leaving a remainder of 27.
Record the quotient 8 as the next digit in the result. 
Result so far: 98.0
If we subtract 472 from 499, we get 27.
Grab the next digit (6) from the dividend, add it to 27, then carry on: 276 / 59

Going ahead to step 5:
If we divide 276 by 59, we get 4 and a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 984.0
Deduct 236 from 276 and we're left with 40.
Take the next digit (7) from the dividend and append it to 40, then repeat: 407 / 59

Let's proceed to step 6:
If we divide 407 by 59, we get 6 and a remainder of 53.
Use 6 as the next digit of our solution. 
Result so far: 9846.0
The remainder is 53 after subtracting 354 from 407.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 7:
530 divided by 59 is 8 with a remainder of 58.
The number 8 becomes the next digit in our result. 
Result so far: 9846.8
If we subtract 472 from 530, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 8:
59 can be fit into 580 9 times, resulting in a remainder of 49.
The number 9 becomes the next digit in our result. 
Result so far: 9846.89
The remainder is 49 after subtracting 531 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 9:
490 divided by 59 is 8 with a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 9846.898
Subtracting 472 from 490 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
180 divided by 59 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 9846.8983
If we subtract 177 from 180, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
59 can be fit into 30 0 times, resulting in a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 9846.8983
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 12:
If we divide 300 by 59, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 9846.898305
Deduct 295 from 300 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
59 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 9846.898305
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 14:
The number 59 fits into 500 8 times, leaving a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 9846.89830508
Subtracting 472 from 500 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 9846.89830508 with a balance of 2.8e-08.