We're dividing 107307 by 97 
We're looking to find how many times 97 goes into 107307.

On to step 1:
The number 97 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 97

On to step 2:
When dividing 10 by 97, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 97

Step 3:
The number 97 fits into 107 1 times, leaving a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 97 from 107 to get 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 97

Moving on to step 4:
97 goes into 103 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 97 away from 103, we end up with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 97

On to step 5:
97 can be fit into 60 0 times, resulting in a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 110.0
Subtract 0 from 60 to get 60.
Fetch the next digit (7) from the dividend, attach it to 60 and continue: 607 / 97

Advancing to step 6:
When dividing 607 by 97, we get 6 with a remainder of 25.
The next digit of our result is 6. 
Result so far: 1106.0
The remainder is 25 after subtracting 582 from 607.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 7:
97 can be fit into 250 2 times, resulting in a remainder of 56.
Use 2 as the next digit of our solution. 
Result so far: 1106.2
If we take 194 away from 250, we end up 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.

Let's proceed to step 8:
If we divide 560 by 97, we get 5 and a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 1106.25
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.

Advancing to step 9:
The number 97 fits into 750 7 times, leaving a remainder of 71.
Use 7 as the next digit of our solution. 
Result so far: 1106.257
Deduct 679 from 750 and we're left with 71.
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:
When dividing 710 by 97, we get 7 with a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 1106.2577
The remainder is 31 after subtracting 679 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

After the division, we end up with 1106.2577 and a remainder of 0.00031.