81429558 ÷ 966 
We want to divide 81429558 by 966.

Step 1:
When dividing 8 by 966, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 966

Let's proceed to step 2:
81 divided by 966 is 0 with a remainder of 81.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 81 after subtracting 0 from 81.
Take the next digit (4) from the dividend and append it to 81, then repeat: 814 / 966

Advancing to step 3:
If we divide 814 by 966, we get 0 and a remainder of 814.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 814 after subtracting 0 from 814.
Append the next digit (2) from the dividend to 814 and continue with: 8142 / 966

Let's proceed to step 4:
When dividing 8142 by 966, we get 8 with a remainder of 414.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 414 after subtracting 7728 from 8142.
Bring next digit (9) of the dividend behind the 414 and repeat the process: 4149 / 966

Going ahead to step 5:
4149 divided by 966 is 4 with a remainder of 285.
Record the quotient 4 as the next digit in the result. 
Result so far: 84.0
If we subtract 3864 from 4149, we get 285.
Grab the next digit (5) from the dividend, add it to 285, then carry on: 2855 / 966

Let's proceed to step 6:
When dividing 2855 by 966, we get 2 with a remainder of 923.
The next digit of our result is 2. 
Result so far: 842.0
The remainder is 923 after subtracting 1932 from 2855.
Include the next digit (5) from the dividend after 923, then repeat: 9235 / 966

Step 7:
If we divide 9235 by 966, we get 9 and a remainder of 541.
The number 9 becomes the next digit in our result. 
Result so far: 8429.0
Deduct 8694 from 9235 and we're left with 541.
Append the next digit (8) from the dividend to 541 and continue with: 5418 / 966

On to step 8:
When dividing 5418 by 966, we get 5 with a remainder of 588.
Use 5 as the next digit of our solution. 
Result so far: 84295.0
Deduct 4830 from 5418 and we're left with 588.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5880, and continue the process.

Advancing to step 9:
If we divide 5880 by 966, we get 6 and a remainder of 84.
Write down 6 as next digit of the result. 
Result so far: 84295.6
If we subtract 5796 from 5880, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 10:
If we divide 840 by 966, we get 0 and a remainder of 840.
Write down 0 as next digit of the result. 
Result so far: 84295.6
Subtract 0 from 840 to get 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8400, and continue the process.

Step 11:
If we divide 8400 by 966, we get 8 and a remainder of 672.
Record the quotient 8 as the next digit in the result. 
Result so far: 84295.608
Deduct 7728 from 8400 and we're left with 672.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6720, and continue the process.

Going ahead to step 12:
966 can be fit into 6720 6 times, resulting in a remainder of 924.
The next digit of our result is 6. 
Result so far: 84295.6086
Subtracting 5796 from 6720 leaves us with 924.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9240, and continue the process.

Let's proceed to step 13:
966 can be fit into 9240 9 times, resulting in a remainder of 546.
The next digit of our result is 9. 
Result so far: 84295.60869
Deduct 8694 from 9240 and we're left with 546.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5460, and continue the process.

Going ahead to step 14:
966 goes into 5460 5 times with a remainder of 630.
The number 5 becomes the next digit in our result. 
Result so far: 84295.608695
If we take 4830 away from 5460, we end up with 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6300, and continue the process.

Moving on to step 15:
When dividing 6300 by 966, we get 6 with a remainder of 504.
The next digit of our result is 6. 
Result so far: 84295.6086956
The remainder is 504 after subtracting 5796 from 6300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5040, and continue the process.

Moving on to step 16:
966 can be fit into 5040 5 times, resulting in a remainder of 210.
The number 5 becomes the next digit in our result. 
Result so far: 84295.60869565
If we take 4830 away from 5040, we end up with 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

In conclusion, the division gives 84295.60869565 with a balance of 2.1e-07.