We look at the division of 579128 by 89 
We're looking to find how many times 89 goes into 579128.

Going ahead to step 1:
When dividing 5 by 89, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 89

Advancing to step 2:
When dividing 57 by 89, we get 0 with a remainder of 57.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 57, we get 57.
Take the next digit (9) from the dividend and append it to 57, then repeat: 579 / 89

On to step 3:
If we divide 579 by 89, we get 6 and a remainder of 45.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 534 from 579 to get 45.
Include the next digit (1) from the dividend after 45, then repeat: 451 / 89

Advancing to step 4:
89 goes into 451 5 times with a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
If we take 445 away from 451, we end up with 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 89

Step 5:
When dividing 62 by 89, we get 0 with a remainder of 62.
Write down 0 as next digit of the result. 
Result so far: 650.0
If we take 0 away from 62, we end up with 62.
Bring next digit (8) of the dividend behind the 62 and repeat the process: 628 / 89

Going ahead to step 6:
89 can be fit into 628 7 times, resulting in a remainder of 5.
The next digit of our result is 7. 
Result so far: 6507.0
Subtract 623 from 628 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
89 can be fit into 50 0 times, resulting in a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 6507.0
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
The number 89 fits into 500 5 times, leaving a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 6507.05
Subtract 445 from 500 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 9:
When dividing 550 by 89, we get 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 6507.056
Subtract 534 from 550 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
89 goes into 160 1 times with a remainder of 71.
Record the quotient 1 as the next digit in the result. 
Result so far: 6507.0561
If we take 89 away from 160, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 11:
The number 89 fits into 710 7 times, leaving a remainder of 87.
Use 7 as the next digit of our solution. 
Result so far: 6507.05617
The remainder is 87 after subtracting 623 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Going ahead to step 12:
If we divide 870 by 89, we get 9 and a remainder of 69.
Use 9 as the next digit of our solution. 
Result so far: 6507.056179
If we subtract 801 from 870, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 13:
The number 89 fits into 690 7 times, leaving a remainder of 67.
The next digit of our result is 7. 
Result so far: 6507.0561797
If we take 623 away from 690, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Going ahead to step 14:
89 can be fit into 670 7 times, resulting in a remainder of 47.
Write down 7 as next digit of the result. 
Result so far: 6507.05617977
If we take 623 away from 670, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

The final outcome is 6507.05617977, with a leftover of 4.7e-08.