We're dividing 85947684 by 966 
We want to divide 85947684 by 966.

Moving on to step 1:
8 divided by 966 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 966

On to step 2:
85 divided by 966 is 0 with a remainder of 85.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 85, we get 85.
Grab the next digit (9) from the dividend, add it to 85, then carry on: 859 / 966

Going ahead to step 3:
The number 966 fits into 859 0 times, leaving a remainder of 859.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 859 and we're left with 859.
Bring next digit (4) of the dividend behind the 859 and repeat the process: 8594 / 966

Moving on to step 4:
8594 divided by 966 is 8 with a remainder of 866.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 866 after subtracting 7728 from 8594.
Fetch the next digit (7) from the dividend, attach it to 866 and continue: 8667 / 966

Let's proceed to step 5:
If we divide 8667 by 966, we get 8 and a remainder of 939.
The number 8 becomes the next digit in our result. 
Result so far: 88.0
If we subtract 7728 from 8667, we get 939.
Grab the next digit (6) from the dividend, add it to 939, then carry on: 9396 / 966

Step 6:
966 can be fit into 9396 9 times, resulting in a remainder of 702.
Put 9 as the next digit of the answer. 
Result so far: 889.0
If we take 8694 away from 9396, we end up with 702.
Grab the next digit (8) from the dividend, add it to 702, then carry on: 7028 / 966

Step 7:
The number 966 fits into 7028 7 times, leaving a remainder of 266.
Use 7 as the next digit of our solution. 
Result so far: 8897.0
Subtracting 6762 from 7028 leaves us with 266.
Append the next digit (4) from the dividend to 266 and continue with: 2664 / 966

Advancing to step 8:
2664 divided by 966 is 2 with a remainder of 732.
The next digit of our result is 2. 
Result so far: 88972.0
The remainder is 732 after subtracting 1932 from 2664.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7320, and continue the process.

Going ahead to step 9:
The number 966 fits into 7320 7 times, leaving a remainder of 558.
The next digit of our result is 7. 
Result so far: 88972.7
The remainder is 558 after subtracting 6762 from 7320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5580, and continue the process.

Going ahead to step 10:
If we divide 5580 by 966, we get 5 and a remainder of 750.
The next digit of our result is 5. 
Result so far: 88972.75
If we take 4830 away from 5580, we end up with 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7500, and continue the process.

Going ahead to step 11:
When dividing 7500 by 966, we get 7 with a remainder of 738.
The next digit of our result is 7. 
Result so far: 88972.757
Deduct 6762 from 7500 and we're left with 738.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7380, and continue the process.

Step 12:
When dividing 7380 by 966, we get 7 with a remainder of 618.
The number 7 becomes the next digit in our result. 
Result so far: 88972.7577
Subtracting 6762 from 7380 leaves us with 618.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6180, and continue the process.

In conclusion, the division gives 88972.7577 with a balance of 0.00618.