We look at the division of 517215 by 97 
We want to figure out the number of times 517215 can be divided by 97.

Going ahead to 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.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 97

Let's proceed to step 2:
97 goes into 51 0 times with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Include the next digit (7) from the dividend after 51, then repeat: 517 / 97

Moving on to step 3:
97 goes into 517 5 times with a remainder of 32.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 485 from 517 and we're left with 32.
Bring next digit (2) of the dividend behind the 32 and repeat the process: 322 / 97

Advancing to step 4:
97 goes into 322 3 times with a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 53.0
Subtracting 291 from 322 leaves us with 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 97

Advancing to step 5:
If we divide 311 by 97, we get 3 and a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 533.0
If we subtract 291 from 311, we get 20.
Grab the next digit (5) from the dividend, add it to 20, then carry on: 205 / 97

Step 6:
97 can be fit into 205 2 times, resulting in a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 5332.0
If we subtract 194 from 205, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
If we divide 110 by 97, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 5332.1
The remainder is 13 after subtracting 97 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 8:
When dividing 130 by 97, we get 1 with a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 5332.11
Deduct 97 from 130 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

After the division, we end up with 5332.11 and a remainder of 0.033.