582583 divided by 59 
Our goal is to divide 582583 by 59.

Let's proceed to step 1:
5 divided by 59 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 59

Moving on to step 2:
59 can be fit into 58 0 times, resulting in a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Grab the next digit (2) from the dividend, add it to 58, then carry on: 582 / 59

Going ahead to step 3:
If we divide 582 by 59, we get 9 and a remainder of 51.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 531 from 582 and we're left with 51.
Bring next digit (5) of the dividend behind the 51 and repeat the process: 515 / 59

Let's proceed to step 4:
59 goes into 515 8 times with a remainder of 43.
The next digit of our result is 8. 
Result so far: 98.0
Deduct 472 from 515 and we're left with 43.
Append the next digit (8) from the dividend to 43 and continue with: 438 / 59

Advancing to step 5:
If we divide 438 by 59, we get 7 and a remainder of 25.
Record the quotient 7 as the next digit in the result. 
Result so far: 987.0
Deduct 413 from 438 and we're left with 25.
Grab the next digit (3) from the dividend, add it to 25, then carry on: 253 / 59

Let's proceed to step 6:
When dividing 253 by 59, we get 4 with a remainder of 17.
Put 4 as the next digit of the answer. 
Result so far: 9874.0
The remainder is 17 after subtracting 236 from 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
59 can be fit into 170 2 times, resulting in a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 9874.2
Subtract 118 from 170 to 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.

Moving on to step 8:
59 can be fit into 520 8 times, resulting in a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 9874.28
If we subtract 472 from 520, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 9:
59 can be fit into 480 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 9874.288
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.

In conclusion, the division gives 9874.288 with a balance of 0.0008.