We're dividing 71086951 by 966 
We're looking to find how many times 966 goes into 71086951.

Step 1:
966 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 966

Step 2:
966 can be fit into 71 0 times, resulting in a remainder of 71.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Fetch the next digit (0) from the dividend, attach it to 71 and continue: 710 / 966

Going ahead to step 3:
710 divided by 966 is 0 with a remainder of 710.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 710 to get 710.
Fetch the next digit (8) from the dividend, attach it to 710 and continue: 7108 / 966

Let's proceed to step 4:
The number 966 fits into 7108 7 times, leaving a remainder of 346.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 6762 from 7108 and we're left with 346.
Fetch the next digit (6) from the dividend, attach it to 346 and continue: 3466 / 966

Step 5:
966 can be fit into 3466 3 times, resulting in a remainder of 568.
The number 3 becomes the next digit in our result. 
Result so far: 73.0
The remainder is 568 after subtracting 2898 from 3466.
Append the next digit (9) from the dividend to 568 and continue with: 5689 / 966

Step 6:
When dividing 5689 by 966, we get 5 with a remainder of 859.
The number 5 becomes the next digit in our result. 
Result so far: 735.0
Deduct 4830 from 5689 and we're left with 859.
Include the next digit (5) from the dividend after 859, then repeat: 8595 / 966

On to step 7:
966 can be fit into 8595 8 times, resulting in a remainder of 867.
Use 8 as the next digit of our solution. 
Result so far: 7358.0
The remainder is 867 after subtracting 7728 from 8595.
Bring next digit (1) of the dividend behind the 867 and repeat the process: 8671 / 966

Let's proceed to step 8:
When dividing 8671 by 966, we get 8 with a remainder of 943.
Record the quotient 8 as the next digit in the result. 
Result so far: 73588.0
If we take 7728 away from 8671, we end up with 943.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9430, and continue the process.

Going ahead to step 9:
When dividing 9430 by 966, we get 9 with a remainder of 736.
Use 9 as the next digit of our solution. 
Result so far: 73588.9
If we subtract 8694 from 9430, we get 736.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7360, and continue the process.

Going ahead to step 10:
7360 divided by 966 is 7 with a remainder of 598.
The next digit of our result is 7. 
Result so far: 73588.97
If we take 6762 away from 7360, we end up with 598.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5980, and continue the process.

Moving on to step 11:
966 can be fit into 5980 6 times, resulting in a remainder of 184.
The number 6 becomes the next digit in our result. 
Result so far: 73588.976
If we subtract 5796 from 5980, we get 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Let's proceed to step 12:
The number 966 fits into 1840 1 times, leaving a remainder of 874.
Put 1 as the next digit of the answer. 
Result so far: 73588.9761
If we subtract 966 from 1840, we get 874.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8740, and continue the process.

Moving on to step 13:
If we divide 8740 by 966, we get 9 and a remainder of 46.
The number 9 becomes the next digit in our result. 
Result so far: 73588.97619
Deduct 8694 from 8740 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 14:
If we divide 460 by 966, we get 0 and a remainder of 460.
Use 0 as the next digit of our solution. 
Result so far: 73588.97619
If we subtract 0 from 460, we get 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

On to step 15:
966 can be fit into 4600 4 times, resulting in a remainder of 736.
Write down 4 as next digit of the result. 
Result so far: 73588.9761904
The remainder is 736 after subtracting 3864 from 4600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7360, and continue the process.

On to step 16:
966 can be fit into 7360 7 times, resulting in a remainder of 598.
Use 7 as the next digit of our solution. 
Result so far: 73588.97619047
The remainder is 598 after subtracting 6762 from 7360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5980, and continue the process.

The final result is 73588.97619047 with a remainder of 5.98e-07.