We look at the division of 76217 by 97 
Let's see how many times 97 fits into 76217.

Advancing to step 1:
When dividing 7 by 97, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 97

Going ahead to step 2:
When dividing 76 by 97, we get 0 with a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 76 and we're left with 76.
Include the next digit (2) from the dividend after 76, then repeat: 762 / 97

Step 3:
762 divided by 97 is 7 with a remainder of 83.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 83 after subtracting 679 from 762.
Grab the next digit (1) from the dividend, add it to 83, then carry on: 831 / 97

Moving on to step 4:
The number 97 fits into 831 8 times, leaving a remainder of 55.
The next digit of our result is 8. 
Result so far: 78.0
The remainder is 55 after subtracting 776 from 831.
Bring next digit (7) of the dividend behind the 55 and repeat the process: 557 / 97

Let's proceed to step 5:
When dividing 557 by 97, we get 5 with a remainder of 72.
The number 5 becomes the next digit in our result. 
Result so far: 785.0
If we subtract 485 from 557, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 6:
720 divided by 97 is 7 with a remainder of 41.
The next digit of our result is 7. 
Result so far: 785.7
If we subtract 679 from 720, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 7:
410 divided by 97 is 4 with a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 785.74
The remainder is 22 after subtracting 388 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
If we divide 220 by 97, we get 2 and a remainder of 26.
The next digit of our result is 2. 
Result so far: 785.742
Deduct 194 from 220 and we're left 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 9:
When dividing 260 by 97, we get 2 with a remainder of 66.
Put 2 as the next digit of the answer. 
Result so far: 785.7422
Subtract 194 from 260 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The quotient of the division is 785.7422, and the remainder is 0.00066.