5005551 ÷ 676 
Our goal is to divide 5005551 by 676.

Going ahead to step 1:
The number 676 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 676

On to step 2:
The number 676 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Fetch the next digit (0) from the dividend, attach it to 50 and continue: 500 / 676

Moving on to step 3:
500 divided by 676 is 0 with a remainder of 500.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 500 leaves us with 500.
Grab the next digit (5) from the dividend, add it to 500, then carry on: 5005 / 676

Advancing to step 4:
The number 676 fits into 5005 7 times, leaving a remainder of 273.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 4732 from 5005 and we're left with 273.
Append the next digit (5) from the dividend to 273 and continue with: 2735 / 676

On to step 5:
The number 676 fits into 2735 4 times, leaving a remainder of 31.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
If we take 2704 away from 2735, we end up with 31.
Bring next digit (5) of the dividend behind the 31 and repeat the process: 315 / 676

Step 6:
The number 676 fits into 315 0 times, leaving a remainder of 315.
The number 0 becomes the next digit in our result. 
Result so far: 740.0
Subtract 0 from 315 to get 315.
Append the next digit (1) from the dividend to 315 and continue with: 3151 / 676

Let's proceed to step 7:
676 goes into 3151 4 times with a remainder of 447.
The number 4 becomes the next digit in our result. 
Result so far: 7404.0
Subtracting 2704 from 3151 leaves us with 447.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4470, and continue the process.

Let's proceed to step 8:
The number 676 fits into 4470 6 times, leaving a remainder of 414.
Put 6 as the next digit of the answer. 
Result so far: 7404.6
Subtract 4056 from 4470 to get 414.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4140, and continue the process.

Let's proceed to step 9:
The number 676 fits into 4140 6 times, leaving a remainder of 84.
The next digit of our result is 6. 
Result so far: 7404.66
If we subtract 4056 from 4140, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

The quotient of the division is 7404.66, and the remainder is 0.084.