We look at the division of 7418584 by 966 
Let's see how many times 966 fits into 7418584.

Going ahead to step 1:
The number 966 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 966

Advancing to step 2:
When dividing 74 by 966, we get 0 with a remainder of 74.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 74 leaves us with 74.
Append the next digit (1) from the dividend to 74 and continue with: 741 / 966

Step 3:
966 can be fit into 741 0 times, resulting in a remainder of 741.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 741 to get 741.
Append the next digit (8) from the dividend to 741 and continue with: 7418 / 966

Going ahead to step 4:
966 goes into 7418 7 times with a remainder of 656.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 6762 from 7418 leaves us with 656.
Append the next digit (5) from the dividend to 656 and continue with: 6565 / 966

Moving on to step 5:
The number 966 fits into 6565 6 times, leaving a remainder of 769.
Write down 6 as next digit of the result. 
Result so far: 76.0
Deduct 5796 from 6565 and we're left with 769.
Bring next digit (8) of the dividend behind the 769 and repeat the process: 7698 / 966

Let's proceed to step 6:
When dividing 7698 by 966, we get 7 with a remainder of 936.
The next digit of our result is 7. 
Result so far: 767.0
Subtract 6762 from 7698 to get 936.
Take the next digit (4) from the dividend and append it to 936, then repeat: 9364 / 966

Step 7:
If we divide 9364 by 966, we get 9 and a remainder of 670.
Put 9 as the next digit of the answer. 
Result so far: 7679.0
The remainder is 670 after subtracting 8694 from 9364.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6700, and continue the process.

Moving on to step 8:
If we divide 6700 by 966, we get 6 and a remainder of 904.
Record the quotient 6 as the next digit in the result. 
Result so far: 7679.6
The remainder is 904 after subtracting 5796 from 6700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9040, and continue the process.

Advancing to step 9:
9040 divided by 966 is 9 with a remainder of 346.
The next digit of our result is 9. 
Result so far: 7679.69
Subtracting 8694 from 9040 leaves us with 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Advancing to step 10:
3460 divided by 966 is 3 with a remainder of 562.
The number 3 becomes the next digit in our result. 
Result so far: 7679.693
Subtracting 2898 from 3460 leaves us with 562.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

Step 11:
966 goes into 5620 5 times with a remainder of 790.
Use 5 as the next digit of our solution. 
Result so far: 7679.6935
Deduct 4830 from 5620 and we're left with 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7900, and continue the process.

Let's proceed to step 12:
966 can be fit into 7900 8 times, resulting in a remainder of 172.
Record the quotient 8 as the next digit in the result. 
Result so far: 7679.69358
If we subtract 7728 from 7900, we get 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Advancing to step 13:
1720 divided by 966 is 1 with a remainder of 754.
The next digit of our result is 1. 
Result so far: 7679.693581
If we subtract 966 from 1720, we get 754.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7540, and continue the process.

Going ahead to step 14:
The number 966 fits into 7540 7 times, leaving a remainder of 778.
Put 7 as the next digit of the answer. 
Result so far: 7679.6935817
Subtracting 6762 from 7540 leaves us with 778.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7780, and continue the process.

Step 15:
966 can be fit into 7780 8 times, resulting in a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 7679.69358178
If we take 7728 away from 7780, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final outcome is 7679.69358178, with a leftover of 5.2e-08.