We look at the division of 7777766 by 667 
Our goal is to divide 7777766 by 667.

Let's proceed to step 1:
7 divided by 667 is 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 667

On to step 2:
667 can be fit into 77 0 times, resulting in a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 77 leaves us with 77.
Take the next digit (7) from the dividend and append it to 77, then repeat: 777 / 667

Step 3:
777 divided by 667 is 1 with a remainder of 110.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 667 away from 777, we end up with 110.
Bring next digit (7) of the dividend behind the 110 and repeat the process: 1107 / 667

Moving on to step 4:
When dividing 1107 by 667, we get 1 with a remainder of 440.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we take 667 away from 1107, we end up with 440.
Bring next digit (7) of the dividend behind the 440 and repeat the process: 4407 / 667

On to step 5:
The number 667 fits into 4407 6 times, leaving a remainder of 405.
The next digit of our result is 6. 
Result so far: 116.0
If we subtract 4002 from 4407, we get 405.
Include the next digit (6) from the dividend after 405, then repeat: 4056 / 667

Moving on to step 6:
667 goes into 4056 6 times with a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 1166.0
Deduct 4002 from 4056 and we're left with 54.
Take the next digit (6) from the dividend and append it to 54, then repeat: 546 / 667

Going ahead to step 7:
667 goes into 546 0 times with a remainder of 546.
The number 0 becomes the next digit in our result. 
Result so far: 11660.0
If we subtract 0 from 546, we 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 8:
When dividing 5460 by 667, we get 8 with a remainder of 124.
Record the quotient 8 as the next digit in the result. 
Result so far: 11660.8
If we take 5336 away from 5460, we end up with 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

On to step 9:
When dividing 1240 by 667, we get 1 with a remainder of 573.
Record the quotient 1 as the next digit in the result. 
Result so far: 11660.81
Deduct 667 from 1240 and we're left with 573.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5730, and continue the process.

Moving on to step 10:
667 can be fit into 5730 8 times, resulting in a remainder of 394.
Record the quotient 8 as the next digit in the result. 
Result so far: 11660.818
The remainder is 394 after subtracting 5336 from 5730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

On to step 11:
3940 divided by 667 is 5 with a remainder of 605.
The next digit of our result is 5. 
Result so far: 11660.8185
Subtracting 3335 from 3940 leaves us with 605.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6050, and continue the process.

Advancing to step 12:
The number 667 fits into 6050 9 times, leaving a remainder of 47.
Record the quotient 9 as the next digit in the result. 
Result so far: 11660.81859
Subtract 6003 from 6050 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 13:
The number 667 fits into 470 0 times, leaving a remainder of 470.
Record the quotient 0 as the next digit in the result. 
Result so far: 11660.81859
Deduct 0 from 470 and we're left with 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

On to step 14:
When dividing 4700 by 667, we get 7 with a remainder of 31.
Put 7 as the next digit of the answer. 
Result so far: 11660.8185907
The remainder is 31 after subtracting 4669 from 4700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 15:
310 divided by 667 is 0 with a remainder of 310.
Record the quotient 0 as the next digit in the result. 
Result so far: 11660.8185907
Deduct 0 from 310 and we're left with 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

The final result is 11660.8185907 with a remainder of 3.1e-07.