966974 divided by 97 
We're looking to find how many times 97 goes into 966974.

Going ahead to step 1:
If we divide 9 by 97, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 97

Going ahead to step 2:
If we divide 96 by 97, we get 0 and a remainder of 96.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 96 to get 96.
Grab the next digit (6) from the dividend, add it to 96, then carry on: 966 / 97

Moving on to step 3:
966 divided by 97 is 9 with a remainder of 93.
Put 9 as the next digit of the answer. 
Result so far: 9.0
The remainder is 93 after subtracting 873 from 966.
Take the next digit (9) from the dividend and append it to 93, then repeat: 939 / 97

Step 4:
If we divide 939 by 97, we get 9 and a remainder of 66.
Use 9 as the next digit of our solution. 
Result so far: 99.0
If we take 873 away from 939, we end up with 66.
Include the next digit (7) from the dividend after 66, then repeat: 667 / 97

Moving on to step 5:
When dividing 667 by 97, we get 6 with a remainder of 85.
The next digit of our result is 6. 
Result so far: 996.0
Deduct 582 from 667 and we're left with 85.
Take the next digit (4) from the dividend and append it to 85, then repeat: 854 / 97

Advancing to step 6:
If we divide 854 by 97, we get 8 and a remainder of 78.
Write down 8 as next digit of the result. 
Result so far: 9968.0
Subtracting 776 from 854 leaves us 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 7:
97 goes into 780 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 9968.8
If we take 776 away from 780, we end up 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 8:
The number 97 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 9968.8
If we take 0 away from 40, we end up 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.

Moving on to step 9:
When dividing 400 by 97, we get 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 9968.804
If we subtract 388 from 400, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
If we divide 120 by 97, we get 1 and a remainder of 23.
The next digit of our result is 1. 
Result so far: 9968.8041
Subtract 97 from 120 to 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.

Step 11:
If we divide 230 by 97, we get 2 and a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 9968.80412
Subtract 194 from 230 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 12:
The number 97 fits into 360 3 times, leaving a remainder of 69.
Use 3 as the next digit of our solution. 
Result so far: 9968.804123
If we subtract 291 from 360, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Going ahead to step 13:
690 divided by 97 is 7 with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 9968.8041237
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.

Moving on to step 14:
The number 97 fits into 110 1 times, leaving a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 9968.80412371
Deduct 97 from 110 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 9968.80412371 with a balance of 1.3e-08.