We look at the division of 637613 by 11 
Our goal is to divide 637613 by 11.

Going ahead to step 1:
The number 11 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 11

Let's proceed to step 2:
11 can be fit into 63 5 times, resulting in a remainder of 8.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 55 from 63, we get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 11

Going ahead to step 3:
If we divide 87 by 11, we get 7 and a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 57.0
If we subtract 77 from 87, we get 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 11

Let's proceed to step 4:
11 can be fit into 106 9 times, resulting in a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 579.0
If we subtract 99 from 106, we get 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 11

Moving on to step 5:
11 can be fit into 71 6 times, resulting in a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 5796.0
Subtract 66 from 71 to get 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 11

On to step 6:
53 divided by 11 is 4 with a remainder of 9.
The next digit of our result is 4. 
Result so far: 57964.0
Deduct 44 from 53 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.

Going ahead to step 7:
When dividing 90 by 11, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 57964.8
If we subtract 88 from 90, we 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.

Going ahead to step 8:
When dividing 20 by 11, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 57964.81
If we subtract 11 from 20, we 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 9:
11 goes into 90 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 57964.818
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.

Going ahead to step 10:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 57964.8181
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.

On to step 11:
90 divided by 11 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 57964.81818
Subtracting 88 from 90 leaves us 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.

Let's proceed to step 12:
11 can be fit into 20 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 57964.818181
If we subtract 11 from 20, we 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.

Let's proceed to step 13:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 57964.8181818
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.

Advancing to step 14:
11 goes into 20 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 57964.81818181
If we take 11 away from 20, 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.

In conclusion, the division gives 57964.81818181 with a balance of 9e-09.