We divide 7956974 by 766
Our goal is to divide 7956974 by 766.

Advancing to step 1:
The number 766 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
Subtract 0 from 7 to get 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 766

Going ahead to step 2:
If we divide 79 by 766, we get 0 and a remainder of 79.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 79 to get 79.
Take the next digit (5) from the dividend and append it to 79, then repeat: 795 / 766

Let's proceed to step 3:
766 can be fit into 795 1 times, resulting in a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 766 from 795 leaves us with 29.
Fetch the next digit (6) from the dividend, attach it to 29 and continue: 296 / 766

Step 4:
296 divided by 766 is 0 with a remainder of 296.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 296 after subtracting 0 from 296.
Take the next digit (9) from the dividend and append it to 296, then repeat: 2969 / 766

Going ahead to step 5:
When dividing 2969 by 766, we get 3 with a remainder of 671.
Put 3 as the next digit of the answer. 
Result so far: 103.0
If we subtract 2298 from 2969, we get 671.
Bring next digit (7) of the dividend behind the 671 and repeat the process: 6717 / 766

Going ahead to step 6:
6717 divided by 766 is 8 with a remainder of 589.
Record the quotient 8 as the next digit in the result. 
Result so far: 1038.0
If we take 6128 away from 6717, we end up with 589.
Grab the next digit (4) from the dividend, add it to 589, then carry on: 5894 / 766

Advancing to step 7:
766 goes into 5894 7 times with a remainder of 532.
Put 7 as the next digit of the answer. 
Result so far: 10387.0
If we take 5362 away from 5894, we end up with 532.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5320, and continue the process.

Moving on to step 8:
766 goes into 5320 6 times with a remainder of 724.
The next digit of our result is 6. 
Result so far: 10387.6
Subtracting 4596 from 5320 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.

Moving on to step 9:
766 goes into 7240 9 times with a remainder of 346.
The next digit of our result is 9. 
Result so far: 10387.69
Subtracting 6894 from 7240 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:
766 can be fit into 3460 4 times, resulting in a remainder of 396.
Record the quotient 4 as the next digit in the result. 
Result so far: 10387.694
Deduct 3064 from 3460 and we're left with 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Step 11:
The number 766 fits into 3960 5 times, leaving a remainder of 130.
Put 5 as the next digit of the answer. 
Result so far: 10387.6945
The remainder is 130 after subtracting 3830 from 3960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Advancing to step 12:
If we divide 1300 by 766, we get 1 and a remainder of 534.
The number 1 becomes the next digit in our result. 
Result so far: 10387.69451
If we subtract 766 from 1300, we get 534.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5340, and continue the process.

Moving on to step 13:
766 can be fit into 5340 6 times, resulting in a remainder of 744.
The number 6 becomes the next digit in our result. 
Result so far: 10387.694516
The remainder is 744 after subtracting 4596 from 5340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7440, and continue the process.

Going ahead to step 14:
7440 divided by 766 is 9 with a remainder of 546.
Put 9 as the next digit of the answer. 
Result so far: 10387.6945169
Subtract 6894 from 7440 to get 546.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5460, and continue the process.

Step 15:
766 can be fit into 5460 7 times, resulting in a remainder of 98.
Write down 7 as next digit of the result. 
Result so far: 10387.69451697
If we subtract 5362 from 5460, we get 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

The final result is 10387.69451697 with a remainder of 9.8e-08.