We divide 7412512 by 966
We want to divide 7412512 by 966.

Advancing to step 1:
If we divide 7 by 966, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 966

Going ahead to step 2:
When dividing 74 by 966, we get 0 with a remainder of 74.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 74 and we're left with 74.
Fetch the next digit (1) from the dividend, attach it to 74 and continue: 741 / 966

Moving on to step 3:
If we divide 741 by 966, we get 0 and a remainder of 741.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 741, we get 741.
Grab the next digit (2) from the dividend, add it to 741, then carry on: 7412 / 966

Moving on to step 4:
966 can be fit into 7412 7 times, resulting in a remainder of 650.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 6762 from 7412 to get 650.
Grab the next digit (5) from the dividend, add it to 650, then carry on: 6505 / 966

Moving on to step 5:
966 goes into 6505 6 times with a remainder of 709.
Put 6 as the next digit of the answer. 
Result so far: 76.0
Subtracting 5796 from 6505 leaves us with 709.
Bring next digit (1) of the dividend behind the 709 and repeat the process: 7091 / 966

On to step 6:
7091 divided by 966 is 7 with a remainder of 329.
Put 7 as the next digit of the answer. 
Result so far: 767.0
The remainder is 329 after subtracting 6762 from 7091.
Include the next digit (2) from the dividend after 329, then repeat: 3292 / 966

Step 7:
966 goes into 3292 3 times with a remainder of 394.
Record the quotient 3 as the next digit in the result. 
Result so far: 7673.0
The remainder is 394 after subtracting 2898 from 3292.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

Let's proceed to step 8:
If we divide 3940 by 966, we get 4 and a remainder of 76.
Record the quotient 4 as the next digit in the result. 
Result so far: 7673.4
If we subtract 3864 from 3940, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 9:
If we divide 760 by 966, we get 0 and a remainder of 760.
Write down 0 as next digit of the result. 
Result so far: 7673.4
If we take 0 away from 760, we end up with 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7600, and continue the process.

Step 10:
7600 divided by 966 is 7 with a remainder of 838.
Put 7 as the next digit of the answer. 
Result so far: 7673.407
Deduct 6762 from 7600 and we're left with 838.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8380, and continue the process.

Going ahead to step 11:
The number 966 fits into 8380 8 times, leaving a remainder of 652.
The next digit of our result is 8. 
Result so far: 7673.4078
If we subtract 7728 from 8380, we get 652.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6520, and continue the process.

Moving on to step 12:
966 goes into 6520 6 times with a remainder of 724.
Write down 6 as next digit of the result. 
Result so far: 7673.40786
Subtracting 5796 from 6520 leaves us with 724.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7240, and continue the process.

Going ahead to step 13:
7240 divided by 966 is 7 with a remainder of 478.
Put 7 as the next digit of the answer. 
Result so far: 7673.407867
Subtract 6762 from 7240 to get 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Advancing to step 14:
The number 966 fits into 4780 4 times, leaving a remainder of 916.
Put 4 as the next digit of the answer. 
Result so far: 7673.4078674
If we take 3864 away from 4780, we end up with 916.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9160, and continue the process.

Let's proceed to step 15:
9160 divided by 966 is 9 with a remainder of 466.
The next digit of our result is 9. 
Result so far: 7673.40786749
Subtracting 8694 from 9160 leaves us with 466.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

The quotient of the division is 7673.40786749, and the remainder is 4.66e-07.