We look at the division of 645075 by 97 
We want to divide 645075 by 97.

Moving on to step 1:
The number 97 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 97

Moving on to step 2:
97 goes into 64 0 times with a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Grab the next digit (5) from the dividend, add it to 64, then carry on: 645 / 97

Let's proceed to step 3:
97 can be fit into 645 6 times, resulting in a remainder of 63.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 63 after subtracting 582 from 645.
Take the next digit (0) from the dividend and append it to 63, then repeat: 630 / 97

On to step 4:
97 can be fit into 630 6 times, resulting in a remainder of 48.
Write down 6 as next digit of the result. 
Result so far: 66.0
Subtracting 582 from 630 leaves us with 48.
Fetch the next digit (7) from the dividend, attach it to 48 and continue: 487 / 97

On to step 5:
97 can be fit into 487 5 times, resulting in a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 665.0
If we take 485 away from 487, we end up with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 97

Moving on to step 6:
If we divide 25 by 97, we get 0 and a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 6650.0
If we subtract 0 from 25, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
If we divide 250 by 97, we get 2 and a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 6650.2
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.

Moving on to step 8:
When dividing 560 by 97, we get 5 with a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 6650.25
Subtract 485 from 560 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 9:
97 can be fit into 750 7 times, resulting in a remainder of 71.
Put 7 as the next digit of the answer. 
Result so far: 6650.257
The remainder is 71 after subtracting 679 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 10:
The number 97 fits into 710 7 times, leaving a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 6650.2577
If we subtract 679 from 710, we 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 6650.2577 with a balance of 0.00031.