We divide 635671 by 11
Our goal is to divide 635671 by 11.

On to step 1:
When dividing 6 by 11, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 11

Step 2:
If we divide 63 by 11, we get 5 and a remainder of 8.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 55 from 63 leaves us with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 11

On to step 3:
11 goes into 85 7 times with 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.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 11

Moving on to step 4:
If we divide 86 by 11, we get 7 and a remainder of 9.
The next digit of our result is 7. 
Result so far: 577.0
Subtracting 77 from 86 leaves us with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 11

Moving on to step 5:
97 divided by 11 is 8 with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 5778.0
Deduct 88 from 97 and we're left with 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 11

Advancing to step 6:
If we divide 91 by 11, we get 8 and a remainder of 3.
The next digit of our result is 8. 
Result so far: 57788.0
The remainder is 3 after subtracting 88 from 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
30 divided by 11 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 57788.2
Deduct 22 from 30 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 8:
The number 11 fits into 80 7 times, leaving a remainder of 3.
The next digit of our result is 7. 
Result so far: 57788.27
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
The number 11 fits into 30 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 57788.272
If we take 22 away from 30, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
If we divide 80 by 11, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 57788.2727
Subtract 77 from 80 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
11 can be fit into 30 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 57788.27272
Deduct 22 from 30 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
If we divide 80 by 11, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 57788.272727
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
11 can be fit into 30 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 57788.2727272
Subtract 22 from 30 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
If we divide 80 by 11, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 57788.27272727
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 57788.27272727 with a balance of 3e-09.