579550 divided by 97 
Our goal is to divide 579550 by 97.

Step 1:
If we divide 5 by 97, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 97

Advancing to step 2:
57 divided by 97 is 0 with a remainder of 57.
Put 0 as the next digit of the answer. 
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 / 97

On to step 3:
The number 97 fits into 579 5 times, leaving a remainder of 94.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 485 from 579, we get 94.
Append the next digit (5) from the dividend to 94 and continue with: 945 / 97

Step 4:
The number 97 fits into 945 9 times, leaving a remainder of 72.
Put 9 as the next digit of the answer. 
Result so far: 59.0
If we take 873 away from 945, we end up with 72.
Take the next digit (5) from the dividend and append it to 72, then repeat: 725 / 97

Moving on to step 5:
725 divided by 97 is 7 with a remainder of 46.
Write down 7 as next digit of the result. 
Result so far: 597.0
The remainder is 46 after subtracting 679 from 725.
Take the next digit (0) from the dividend and append it to 46, then repeat: 460 / 97

Let's proceed to step 6:
If we divide 460 by 97, we get 4 and a remainder of 72.
The next digit of our result is 4. 
Result so far: 5974.0
Deduct 388 from 460 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 7:
97 goes into 720 7 times with a remainder of 41.
Record the quotient 7 as the next digit in the result. 
Result so far: 5974.7
Deduct 679 from 720 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 8:
If we divide 410 by 97, we get 4 and a remainder of 22.
The next digit of our result is 4. 
Result so far: 5974.74
Subtracting 388 from 410 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
When dividing 220 by 97, we get 2 with a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 5974.742
Subtracting 194 from 220 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 10:
The number 97 fits into 260 2 times, leaving a remainder of 66.
Put 2 as the next digit of the answer. 
Result so far: 5974.7422
The remainder is 66 after subtracting 194 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Our division results in 5974.7422 with a remaining 0.00066.