Let's divide 517579 by 97
We want to figure out the number of times 517579 can be divided by 97.

On to step 1:
When dividing 5 by 97, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 97

On to step 2:
51 divided by 97 is 0 with a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Grab the next digit (7) from the dividend, add it to 51, then carry on: 517 / 97

Let's proceed to step 3:
517 divided by 97 is 5 with a remainder of 32.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 485 from 517 to get 32.
Take the next digit (5) from the dividend and append it to 32, then repeat: 325 / 97

Let's proceed to step 4:
97 can be fit into 325 3 times, resulting in a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 53.0
Subtracting 291 from 325 leaves us with 34.
Append the next digit (7) from the dividend to 34 and continue with: 347 / 97

Step 5:
347 divided by 97 is 3 with a remainder of 56.
Record the quotient 3 as the next digit in the result. 
Result so far: 533.0
Subtracting 291 from 347 leaves us with 56.
Fetch the next digit (9) from the dividend, attach it to 56 and continue: 569 / 97

Step 6:
97 can be fit into 569 5 times, resulting in a remainder of 84.
Put 5 as the next digit of the answer. 
Result so far: 5335.0
Deduct 485 from 569 and we're left with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Step 7:
840 divided by 97 is 8 with a remainder of 64.
Use 8 as the next digit of our solution. 
Result so far: 5335.8
Subtract 776 from 840 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 8:
640 divided by 97 is 6 with a remainder of 58.
Put 6 as the next digit of the answer. 
Result so far: 5335.86
The remainder is 58 after subtracting 582 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 9:
97 can be fit into 580 5 times, resulting in a remainder of 95.
Write down 5 as next digit of the result. 
Result so far: 5335.865
If we take 485 away from 580, we end up with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Let's proceed to step 10:
When dividing 950 by 97, we get 9 with a remainder of 77.
Write down 9 as next digit of the result. 
Result so far: 5335.8659
Subtract 873 from 950 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Step 11:
97 goes into 770 7 times with a remainder of 91.
Write down 7 as next digit of the result. 
Result so far: 5335.86597
Deduct 679 from 770 and we're left with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

On to step 12:
When dividing 910 by 97, we get 9 with a remainder of 37.
Record the quotient 9 as the next digit in the result. 
Result so far: 5335.865979
The remainder is 37 after subtracting 873 from 910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 13:
The number 97 fits into 370 3 times, leaving a remainder of 79.
The next digit of our result is 3. 
Result so far: 5335.8659793
If we subtract 291 from 370, 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.

Step 14:
97 can be fit into 790 8 times, resulting in a remainder of 14.
The next digit of our result is 8. 
Result so far: 5335.86597938
If we take 776 away from 790, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 5335.86597938 with a balance of 1.4e-08.