We're dividing 645310 by 97 
We're looking to find how many times 97 goes into 645310.

Moving on to step 1:
6 divided by 97 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 97

On to step 2:
If we divide 64 by 97, we get 0 and a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Include the next digit (5) from the dividend after 64, then repeat: 645 / 97

Step 3:
645 divided by 97 is 6 with a remainder of 63.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 582 from 645, we get 63.
Take the next digit (3) from the dividend and append it to 63, then repeat: 633 / 97

On to step 4:
97 can be fit into 633 6 times, resulting in a remainder of 51.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
If we subtract 582 from 633, we get 51.
Append the next digit (1) from the dividend to 51 and continue with: 511 / 97

Let's proceed to step 5:
97 can be fit into 511 5 times, resulting in a remainder of 26.
Use 5 as the next digit of our solution. 
Result so far: 665.0
Deduct 485 from 511 and we're left with 26.
Append the next digit (0) from the dividend to 26 and continue with: 260 / 97

Let's proceed to step 6:
97 goes into 260 2 times with a remainder of 66.
The next digit of our result is 2. 
Result so far: 6652.0
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.

Step 7:
97 can be fit into 660 6 times, resulting in a remainder of 78.
Record the quotient 6 as the next digit in the result. 
Result so far: 6652.6
Deduct 582 from 660 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 8:
97 can be fit into 780 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 6652.68
Deduct 776 from 780 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
When dividing 40 by 97, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 6652.68
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
If we divide 400 by 97, we get 4 and a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 6652.6804
Deduct 388 from 400 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
When dividing 120 by 97, we get 1 with a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 6652.68041
If we subtract 97 from 120, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 12:
The number 97 fits into 230 2 times, leaving a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 6652.680412
If we take 194 away from 230, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 13:
The number 97 fits into 360 3 times, leaving a remainder of 69.
Put 3 as the next digit of the answer. 
Result so far: 6652.6804123
The remainder is 69 after subtracting 291 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 14:
97 goes into 690 7 times with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 6652.68041237
The remainder is 11 after subtracting 679 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 6652.68041237 with a remaining 1.1e-08.