We look at the division of 57174 by 97 
We're looking to find how many times 97 goes into 57174.

On to step 1:
If we divide 5 by 97, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 97

Step 2:
97 can be fit into 57 0 times, resulting in a remainder of 57.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 57, we get 57.
Bring next digit (1) of the dividend behind the 57 and repeat the process: 571 / 97

Let's proceed to step 3:
571 divided by 97 is 5 with a remainder of 86.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 485 from 571, we get 86.
Grab the next digit (7) from the dividend, add it to 86, then carry on: 867 / 97

Let's proceed to step 4:
When dividing 867 by 97, we get 8 with a remainder of 91.
Write down 8 as next digit of the result. 
Result so far: 58.0
Subtract 776 from 867 to get 91.
Grab the next digit (4) from the dividend, add it to 91, then carry on: 914 / 97

Going ahead to step 5:
97 can be fit into 914 9 times, resulting in a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 589.0
Deduct 873 from 914 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 6:
If we divide 410 by 97, we get 4 and a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 589.4
If we subtract 388 from 410, we get 22.
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 7:
The number 97 fits into 220 2 times, leaving a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 589.42
The remainder is 26 after subtracting 194 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 8:
97 goes into 260 2 times with a remainder of 66.
Use 2 as the next digit of our solution. 
Result so far: 589.422
If we subtract 194 from 260, we 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 final outcome is 589.422, with a leftover of 0.0066.