We look at the division of 645262 by 97 
We're looking to find how many times 97 goes into 645262.

On to step 1:
6 divided by 97 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 97

Advancing to step 2:
97 goes into 64 0 times with a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Bring next digit (5) of the dividend behind the 64 and repeat the process: 645 / 97

Advancing to step 3:
The number 97 fits into 645 6 times, leaving a remainder of 63.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 63 after subtracting 582 from 645.
Bring next digit (2) of the dividend behind the 63 and repeat the process: 632 / 97

Advancing to step 4:
The number 97 fits into 632 6 times, leaving a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 66.0
Subtracting 582 from 632 leaves us with 50.
Append the next digit (6) from the dividend to 50 and continue with: 506 / 97

Moving on to step 5:
If we divide 506 by 97, we get 5 and a remainder of 21.
The next digit of our result is 5. 
Result so far: 665.0
The remainder is 21 after subtracting 485 from 506.
Bring next digit (2) of the dividend behind the 21 and repeat the process: 212 / 97

Step 6:
If we divide 212 by 97, we get 2 and a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 6652.0
The remainder is 18 after subtracting 194 from 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 7:
When dividing 180 by 97, we get 1 with a remainder of 83.
The next digit of our result is 1. 
Result so far: 6652.1
Subtract 97 from 180 to get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

On to step 8:
97 goes into 830 8 times with a remainder of 54.
Write down 8 as next digit of the result. 
Result so far: 6652.18
If we take 776 away from 830, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 9:
When dividing 540 by 97, we get 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 6652.185
If we subtract 485 from 540, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 10:
97 can be fit into 550 5 times, resulting in a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 6652.1855
Subtracting 485 from 550 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

In conclusion, the division gives 6652.1855 with a balance of 0.00065.