Let's divide 966415 by 97
We want to figure out the number of times 966415 can be divided by 97.

Step 1:
97 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 97

On to step 2:
96 divided by 97 is 0 with a remainder of 96.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 96 after subtracting 0 from 96.
Grab the next digit (6) from the dividend, add it to 96, then carry on: 966 / 97

On to step 3:
966 divided by 97 is 9 with a remainder of 93.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 873 from 966 and we're left with 93.
Take the next digit (4) from the dividend and append it to 93, then repeat: 934 / 97

Let's proceed to step 4:
97 goes into 934 9 times with a remainder of 61.
The next digit of our result is 9. 
Result so far: 99.0
If we subtract 873 from 934, we get 61.
Append the next digit (1) from the dividend to 61 and continue with: 611 / 97

Advancing to step 5:
97 goes into 611 6 times with a remainder of 29.
Put 6 as the next digit of the answer. 
Result so far: 996.0
Subtracting 582 from 611 leaves us with 29.
Fetch the next digit (5) from the dividend, attach it to 29 and continue: 295 / 97

Going ahead to step 6:
The number 97 fits into 295 3 times, leaving a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 9963.0
The remainder is 4 after subtracting 291 from 295.
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 7:
The number 97 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 9963.0
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 8:
97 can be fit into 400 4 times, resulting in a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 9963.04
If we take 388 away from 400, we end up 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 9:
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: 9963.041
Deduct 97 from 120 and we're left with 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 10:
97 can be fit into 230 2 times, resulting in a remainder of 36.
The next digit of our result is 2. 
Result so far: 9963.0412
If we subtract 194 from 230, we 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.

Step 11:
97 goes into 360 3 times with a remainder of 69.
Record the quotient 3 as the next digit in the result. 
Result so far: 9963.04123
Subtract 291 from 360 to 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.

Let's proceed to step 12:
97 goes into 690 7 times with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 9963.041237
Subtract 679 from 690 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.

Going ahead to step 13:
When dividing 110 by 97, we get 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 9963.0412371
Subtract 97 from 110 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 14:
If we divide 130 by 97, we get 1 and a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 9963.04123711
Subtract 97 from 130 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Our division results in 9963.04123711 with a remaining 3.3e-08.