Let's divide 7956875 by 666
Our goal is to divide 7956875 by 666.

Advancing to step 1:
666 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 666

Moving on to step 2:
666 can be fit into 79 0 times, resulting in a remainder of 79.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 79 after subtracting 0 from 79.
Bring next digit (5) of the dividend behind the 79 and repeat the process: 795 / 666

Going ahead to step 3:
If we divide 795 by 666, we get 1 and a remainder of 129.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 666 from 795, we get 129.
Bring next digit (6) of the dividend behind the 129 and repeat the process: 1296 / 666

Step 4:
666 goes into 1296 1 times with a remainder of 630.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtracting 666 from 1296 leaves us with 630.
Append the next digit (8) from the dividend to 630 and continue with: 6308 / 666

Step 5:
666 can be fit into 6308 9 times, resulting in a remainder of 314.
Put 9 as the next digit of the answer. 
Result so far: 119.0
Subtracting 5994 from 6308 leaves us with 314.
Append the next digit (7) from the dividend to 314 and continue with: 3147 / 666

Moving on to step 6:
3147 divided by 666 is 4 with a remainder of 483.
Use 4 as the next digit of our solution. 
Result so far: 1194.0
Subtracting 2664 from 3147 leaves us with 483.
Append the next digit (5) from the dividend to 483 and continue with: 4835 / 666

Step 7:
666 can be fit into 4835 7 times, resulting in a remainder of 173.
Put 7 as the next digit of the answer. 
Result so far: 11947.0
If we subtract 4662 from 4835, we get 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1730, and continue the process.

Step 8:
666 goes into 1730 2 times with a remainder of 398.
Record the quotient 2 as the next digit in the result. 
Result so far: 11947.2
Deduct 1332 from 1730 and we're left with 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

Advancing to step 9:
666 can be fit into 3980 5 times, resulting in a remainder of 650.
Use 5 as the next digit of our solution. 
Result so far: 11947.25
Deduct 3330 from 3980 and we're left with 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6500, and continue the process.

Advancing to step 10:
If we divide 6500 by 666, we get 9 and a remainder of 506.
Put 9 as the next digit of the answer. 
Result so far: 11947.259
Subtract 5994 from 6500 to get 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

Moving on to step 11:
666 can be fit into 5060 7 times, resulting in a remainder of 398.
Record the quotient 7 as the next digit in the result. 
Result so far: 11947.2597
The remainder is 398 after subtracting 4662 from 5060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

Step 12:
If we divide 3980 by 666, we get 5 and a remainder of 650.
Record the quotient 5 as the next digit in the result. 
Result so far: 11947.25975
Subtracting 3330 from 3980 leaves us with 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6500, and continue the process.

On to step 13:
6500 divided by 666 is 9 with a remainder of 506.
Record the quotient 9 as the next digit in the result. 
Result so far: 11947.259759
If we subtract 5994 from 6500, we get 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

On to step 14:
If we divide 5060 by 666, we get 7 and a remainder of 398.
Use 7 as the next digit of our solution. 
Result so far: 11947.2597597
If we take 4662 away from 5060, we end up with 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

Step 15:
If we divide 3980 by 666, we get 5 and a remainder of 650.
Record the quotient 5 as the next digit in the result. 
Result so far: 11947.25975975
If we take 3330 away from 3980, we end up with 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6500, and continue the process.

After the division, we end up with 11947.25975975 and a remainder of 6.5e-07.