75677637 divided by 966 
Our goal is to divide 75677637 by 966.

On to step 1:
The number 966 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 966

Moving on to step 2:
966 goes into 75 0 times with a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 75 leaves us with 75.
Fetch the next digit (6) from the dividend, attach it to 75 and continue: 756 / 966

On to step 3:
The number 966 fits into 756 0 times, leaving a remainder of 756.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 756 to get 756.
Include the next digit (7) from the dividend after 756, then repeat: 7567 / 966

Going ahead to step 4:
966 goes into 7567 7 times with a remainder of 805.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 805 after subtracting 6762 from 7567.
Include the next digit (7) from the dividend after 805, then repeat: 8057 / 966

Step 5:
966 can be fit into 8057 8 times, resulting in a remainder of 329.
Write down 8 as next digit of the result. 
Result so far: 78.0
If we take 7728 away from 8057, we end up with 329.
Append the next digit (6) from the dividend to 329 and continue with: 3296 / 966

Moving on to step 6:
The number 966 fits into 3296 3 times, leaving a remainder of 398.
Put 3 as the next digit of the answer. 
Result so far: 783.0
Subtracting 2898 from 3296 leaves us with 398.
Bring next digit (3) of the dividend behind the 398 and repeat the process: 3983 / 966

Advancing to step 7:
The number 966 fits into 3983 4 times, leaving a remainder of 119.
Use 4 as the next digit of our solution. 
Result so far: 7834.0
Subtract 3864 from 3983 to get 119.
Take the next digit (7) from the dividend and append it to 119, then repeat: 1197 / 966

Step 8:
1197 divided by 966 is 1 with a remainder of 231.
The next digit of our result is 1. 
Result so far: 78341.0
The remainder is 231 after subtracting 966 from 1197.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2310, and continue the process.

Going ahead to step 9:
2310 divided by 966 is 2 with a remainder of 378.
The number 2 becomes the next digit in our result. 
Result so far: 78341.2
The remainder is 378 after subtracting 1932 from 2310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Going ahead to step 10:
966 can be fit into 3780 3 times, resulting in a remainder of 882.
Record the quotient 3 as the next digit in the result. 
Result so far: 78341.23
Subtracting 2898 from 3780 leaves us with 882.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8820, and continue the process.

Advancing to step 11:
8820 divided by 966 is 9 with a remainder of 126.
Write down 9 as next digit of the result. 
Result so far: 78341.239
If we take 8694 away from 8820, we end up with 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Step 12:
1260 divided by 966 is 1 with a remainder of 294.
Write down 1 as next digit of the result. 
Result so far: 78341.2391
Subtract 966 from 1260 to get 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2940, and continue the process.

Step 13:
2940 divided by 966 is 3 with a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 78341.23913
Subtracting 2898 from 2940 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 14:
If we divide 420 by 966, we get 0 and a remainder of 420.
Use 0 as the next digit of our solution. 
Result so far: 78341.23913
Subtract 0 from 420 to get 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Let's proceed to step 15:
4200 divided by 966 is 4 with a remainder of 336.
The number 4 becomes the next digit in our result. 
Result so far: 78341.2391304
The remainder is 336 after subtracting 3864 from 4200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

Advancing to step 16:
The number 966 fits into 3360 3 times, leaving a remainder of 462.
Write down 3 as next digit of the result. 
Result so far: 78341.23913043
If we take 2898 away from 3360, we end up with 462.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4620, and continue the process.

The final result is 78341.23913043 with a remainder of 4.62e-07.