We look at the division of 559278 by 97 
We're looking to find how many times 97 goes into 559278.

Advancing to step 1:
The number 97 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 97

On to step 2:
97 can be fit into 55 0 times, resulting in a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Grab the next digit (9) from the dividend, add it to 55, then carry on: 559 / 97

Going ahead to step 3:
97 can be fit into 559 5 times, resulting in a remainder of 74.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 485 from 559 leaves us with 74.
Grab the next digit (2) from the dividend, add it to 74, then carry on: 742 / 97

Step 4:
742 divided by 97 is 7 with a remainder of 63.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Subtract 679 from 742 to get 63.
Append the next digit (7) from the dividend to 63 and continue with: 637 / 97

Moving on to step 5:
If we divide 637 by 97, we get 6 and a remainder of 55.
The next digit of our result is 6. 
Result so far: 576.0
Subtract 582 from 637 to get 55.
Include the next digit (8) from the dividend after 55, then repeat: 558 / 97

Step 6:
97 can be fit into 558 5 times, resulting in a remainder of 73.
The next digit of our result is 5. 
Result so far: 5765.0
The remainder is 73 after subtracting 485 from 558.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 7:
When dividing 730 by 97, we get 7 with a remainder of 51.
Write down 7 as next digit of the result. 
Result so far: 5765.7
The remainder is 51 after subtracting 679 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 8:
When dividing 510 by 97, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 5765.75
If we take 485 away from 510, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
When dividing 250 by 97, we get 2 with a remainder of 56.
The number 2 becomes the next digit in our result. 
Result so far: 5765.752
Subtracting 194 from 250 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 10:
If we divide 560 by 97, we get 5 and a remainder of 75.
The next digit of our result is 5. 
Result so far: 5765.7525
The remainder is 75 after subtracting 485 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 11:
97 goes into 750 7 times with a remainder of 71.
The next digit of our result is 7. 
Result so far: 5765.75257
Deduct 679 from 750 and we're left 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.

Step 12:
710 divided by 97 is 7 with a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 5765.752577
Subtract 679 from 710 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

In conclusion, the division gives 5765.752577 with a balance of 3.1e-06.