635668 ÷ 11 
We want to divide 635668 by 11.

Advancing to step 1:
The number 11 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 11

Step 2:
11 goes into 63 5 times with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 55 from 63 and we're left with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 11

Advancing to step 3:
If we divide 85 by 11, we get 7 and a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Subtract 77 from 85 to get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 11

On to step 4:
The number 11 fits into 86 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 577.0
If we take 77 away from 86, we end up with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 11

Going ahead to step 5:
The number 11 fits into 96 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 5778.0
Deduct 88 from 96 and we're left with 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 11

On to step 6:
When dividing 88 by 11, we get 8 with a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 57788.0
The remainder is 0 after subtracting 88 from 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
The number 11 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 57788.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
When dividing 0 by 11, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 57788.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 57788.0, and the remainder is 0.0.