967974 ÷ 97 
We're looking to find how many times 97 goes into 967974.

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
Deduct 0 from 9 and we're left with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 97

Going ahead to step 2:
97 goes into 96 0 times with a remainder of 96.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 96, we get 96.
Append the next digit (7) from the dividend to 96 and continue with: 967 / 97

On to step 3:
97 goes into 967 9 times with a remainder of 94.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 873 from 967 to get 94.
Take the next digit (9) from the dividend and append it to 94, then repeat: 949 / 97

Moving on to step 4:
If we divide 949 by 97, we get 9 and a remainder of 76.
Put 9 as the next digit of the answer. 
Result so far: 99.0
The remainder is 76 after subtracting 873 from 949.
Fetch the next digit (7) from the dividend, attach it to 76 and continue: 767 / 97

Moving on to step 5:
If we divide 767 by 97, we get 7 and a remainder of 88.
The number 7 becomes the next digit in our result. 
Result so far: 997.0
The remainder is 88 after subtracting 679 from 767.
Append the next digit (4) from the dividend to 88 and continue with: 884 / 97

Step 6:
97 goes into 884 9 times with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 9979.0
Subtract 873 from 884 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
110 divided by 97 is 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 9979.1
If we take 97 away from 110, we end up 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.

Advancing to step 8:
The number 97 fits into 130 1 times, leaving a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 9979.11
Subtracting 97 from 130 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The quotient of the division is 9979.11, and the remainder is 0.033.