We look at the division of 634357 by 11 
We want to divide 634357 by 11.

On to step 1:
The number 11 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 11

On to step 2:
If we divide 63 by 11, we get 5 and a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 55 from 63 leaves us with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 11

Advancing to step 3:
If we divide 84 by 11, we get 7 and a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Subtract 77 from 84 to get 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 11

On to step 4:
11 can be fit into 73 6 times, resulting in a remainder of 7.
The next digit of our result is 6. 
Result so far: 576.0
Subtracting 66 from 73 leaves us with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 11

Going ahead to step 5:
When dividing 75 by 11, we get 6 with a remainder of 9.
The next digit of our result is 6. 
Result so far: 5766.0
If we take 66 away from 75, we end up with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 11

Moving on to step 6:
11 goes into 97 8 times with a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 57668.0
If we take 88 away from 97, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 57668.8
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
11 can be fit into 20 1 times, resulting in a remainder of 9.
The next digit of our result is 1. 
Result so far: 57668.81
Subtract 11 from 20 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
If we divide 90 by 11, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 57668.818
Subtract 88 from 90 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
11 goes into 20 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 57668.8181
Subtract 11 from 20 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 11:
11 can be fit into 90 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 57668.81818
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 57668.818181
Deduct 11 from 20 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 13:
When dividing 90 by 11, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 57668.8181818
Subtract 88 from 90 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 57668.81818181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 57668.81818181 and a remainder of 9e-09.