We're dividing 579776 by 59 
We want to divide 579776 by 59.

Step 1:
The number 59 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 59

Going ahead to step 2:
If we divide 57 by 59, we get 0 and a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 57 to get 57.
Grab the next digit (9) from the dividend, add it to 57, then carry on: 579 / 59

Step 3:
The number 59 fits into 579 9 times, leaving a remainder of 48.
Use 9 as the next digit of our solution. 
Result so far: 9.0
The remainder is 48 after subtracting 531 from 579.
Bring next digit (7) of the dividend behind the 48 and repeat the process: 487 / 59

Advancing to step 4:
59 goes into 487 8 times with a remainder of 15.
Use 8 as the next digit of our solution. 
Result so far: 98.0
Deduct 472 from 487 and we're left with 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 59

Advancing to step 5:
If we divide 157 by 59, we get 2 and a remainder of 39.
Put 2 as the next digit of the answer. 
Result so far: 982.0
Subtracting 118 from 157 leaves us with 39.
Bring next digit (6) of the dividend behind the 39 and repeat the process: 396 / 59

Let's proceed to step 6:
396 divided by 59 is 6 with a remainder of 42.
Write down 6 as next digit of the result. 
Result so far: 9826.0
Subtract 354 from 396 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 7:
The number 59 fits into 420 7 times, leaving a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 9826.7
Subtracting 413 from 420 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.

Step 8:
70 divided by 59 is 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 9826.71
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.

On to step 9:
If we divide 110 by 59, we get 1 and a remainder of 51.
Put 1 as the next digit of the answer. 
Result so far: 9826.711
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.

The final outcome is 9826.711, with a leftover of 0.0051.