We look at the division of 115974 by 97 
We want to figure out the number of times 115974 can be divided by 97.

Going ahead to step 1:
1 divided by 97 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 97

On to step 2:
97 can be fit into 11 0 times, resulting in a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 97

Moving on to step 3:
The number 97 fits into 115 1 times, leaving a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 97 from 115 leaves us with 18.
Fetch the next digit (9) from the dividend, attach it to 18 and continue: 189 / 97

Advancing to step 4:
The number 97 fits into 189 1 times, leaving a remainder of 92.
The next digit of our result is 1. 
Result so far: 11.0
If we take 97 away from 189, we end up with 92.
Bring next digit (7) of the dividend behind the 92 and repeat the process: 927 / 97

Step 5:
The number 97 fits into 927 9 times, leaving a remainder of 54.
Record the quotient 9 as the next digit in the result. 
Result so far: 119.0
If we subtract 873 from 927, we get 54.
Fetch the next digit (4) from the dividend, attach it to 54 and continue: 544 / 97

Going ahead to step 6:
If we divide 544 by 97, we get 5 and a remainder of 59.
Write down 5 as next digit of the result. 
Result so far: 1195.0
If we subtract 485 from 544, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 7:
When dividing 590 by 97, we get 6 with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 1195.6
The remainder is 8 after subtracting 582 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
97 can be fit into 80 0 times, resulting in a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 1195.6
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 9:
The number 97 fits into 800 8 times, leaving a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 1195.608
Deduct 776 from 800 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
240 divided by 97 is 2 with a remainder of 46.
Put 2 as the next digit of the answer. 
Result so far: 1195.6082
Deduct 194 from 240 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 11:
460 divided by 97 is 4 with a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 1195.60824
The remainder is 72 after subtracting 388 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 12:
720 divided by 97 is 7 with a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 1195.608247
Deduct 679 from 720 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.

Going ahead to step 13:
410 divided by 97 is 4 with a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 1195.6082474
Subtract 388 from 410 to 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.

On to step 14:
When dividing 220 by 97, we get 2 with a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 1195.60824742
Subtract 194 from 220 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 1195.60824742 and a remainder of 2.6e-08.