We look at the division of 579321 by 59 
Let's see how many times 59 fits into 579321.

Moving on to step 1:
If we divide 5 by 59, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 59

Step 2:
When dividing 57 by 59, we get 0 with a remainder of 57.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 57 leaves us with 57.
Take the next digit (9) from the dividend and append it to 57, then repeat: 579 / 59

Moving on to step 3:
If we divide 579 by 59, we get 9 and a remainder of 48.
Put 9 as the next digit of the answer. 
Result so far: 9.0
The remainder is 48 after subtracting 531 from 579.
Grab the next digit (3) from the dividend, add it to 48, then carry on: 483 / 59

Advancing to step 4:
When dividing 483 by 59, we get 8 with a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 98.0
If we take 472 away from 483, we end up with 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 59

On to step 5:
59 goes into 112 1 times with a remainder of 53.
Put 1 as the next digit of the answer. 
Result so far: 981.0
If we take 59 away from 112, we end up with 53.
Append the next digit (1) from the dividend to 53 and continue with: 531 / 59

On to step 6:
When dividing 531 by 59, we get 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 9819.0
The remainder is 0 after subtracting 531 from 531.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
59 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 9819.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
The number 59 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 9819.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 9819.0 with a balance of 0.0.