We're dividing 87436509 by 966 
Let's see how many times 966 fits into 87436509.

On to step 1:
966 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 966

Advancing to step 2:
966 goes into 87 0 times with a remainder of 87.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 87 leaves us with 87.
Grab the next digit (4) from the dividend, add it to 87, then carry on: 874 / 966

Advancing to step 3:
966 goes into 874 0 times with a remainder of 874.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 874 after subtracting 0 from 874.
Fetch the next digit (3) from the dividend, attach it to 874 and continue: 8743 / 966

Moving on to step 4:
966 goes into 8743 9 times with a remainder of 49.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 8694 from 8743 to get 49.
Fetch the next digit (6) from the dividend, attach it to 49 and continue: 496 / 966

Step 5:
966 goes into 496 0 times with a remainder of 496.
The number 0 becomes the next digit in our result. 
Result so far: 90.0
The remainder is 496 after subtracting 0 from 496.
Grab the next digit (5) from the dividend, add it to 496, then carry on: 4965 / 966

Going ahead to step 6:
4965 divided by 966 is 5 with a remainder of 135.
Use 5 as the next digit of our solution. 
Result so far: 905.0
Subtract 4830 from 4965 to get 135.
Take the next digit (0) from the dividend and append it to 135, then repeat: 1350 / 966

Moving on to step 7:
If we divide 1350 by 966, we get 1 and a remainder of 384.
Put 1 as the next digit of the answer. 
Result so far: 9051.0
If we subtract 966 from 1350, we get 384.
Include the next digit (9) from the dividend after 384, then repeat: 3849 / 966

On to step 8:
When dividing 3849 by 966, we get 3 with a remainder of 951.
The number 3 becomes the next digit in our result. 
Result so far: 90513.0
If we subtract 2898 from 3849, we get 951.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9510, and continue the process.

Advancing to step 9:
When dividing 9510 by 966, we get 9 with a remainder of 816.
The next digit of our result is 9. 
Result so far: 90513.9
Subtracting 8694 from 9510 leaves us with 816.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8160, and continue the process.

Moving on to step 10:
If we divide 8160 by 966, we get 8 and a remainder of 432.
The next digit of our result is 8. 
Result so far: 90513.98
If we take 7728 away from 8160, we end up with 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

Going ahead to step 11:
When dividing 4320 by 966, we get 4 with a remainder of 456.
The number 4 becomes the next digit in our result. 
Result so far: 90513.984
If we subtract 3864 from 4320, we get 456.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4560, and continue the process.

Step 12:
The number 966 fits into 4560 4 times, leaving a remainder of 696.
The number 4 becomes the next digit in our result. 
Result so far: 90513.9844
The remainder is 696 after subtracting 3864 from 4560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6960, and continue the process.

The final outcome is 90513.9844, with a leftover of 0.00696.