We look at the division of 579825 by 89 
We want to figure out the number of times 579825 can be divided by 89.

On to step 1:
If we divide 5 by 89, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 89

On to step 2:
If we divide 57 by 89, we get 0 and a remainder of 57.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 57 to get 57.
Fetch the next digit (9) from the dividend, attach it to 57 and continue: 579 / 89

Let's proceed to step 3:
89 can be fit into 579 6 times, resulting in a remainder of 45.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 534 away from 579, we end up with 45.
Take the next digit (8) from the dividend and append it to 45, then repeat: 458 / 89

Advancing to step 4:
89 goes into 458 5 times with a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
If we subtract 445 from 458, we get 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 89

Going ahead to step 5:
132 divided by 89 is 1 with a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 651.0
Subtracting 89 from 132 leaves us with 43.
Grab the next digit (5) from the dividend, add it to 43, then carry on: 435 / 89

Moving on to step 6:
89 can be fit into 435 4 times, resulting in a remainder of 79.
The next digit of our result is 4. 
Result so far: 6514.0
If we subtract 356 from 435, we get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Moving on to step 7:
The number 89 fits into 790 8 times, leaving a remainder of 78.
Write down 8 as next digit of the result. 
Result so far: 6514.8
If we subtract 712 from 790, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 8:
780 divided by 89 is 8 with a remainder of 68.
Write down 8 as next digit of the result. 
Result so far: 6514.88
Deduct 712 from 780 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

After the division, we end up with 6514.88 and a remainder of 0.068.