637168 ÷ 11 
We want to figure out the number of times 637168 can be divided by 11.

Going ahead to step 1:
When dividing 6 by 11, we get 0 with 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.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 11

Let's proceed to step 2:
The number 11 fits into 63 5 times, leaving a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 55 from 63 and we're left with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 11

Going ahead to step 3:
87 divided by 11 is 7 with a remainder of 10.
The next digit of our result is 7. 
Result so far: 57.0
Subtract 77 from 87 to get 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 11

On to step 4:
11 can be fit into 101 9 times, resulting in a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 579.0
If we take 99 away from 101, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 11

On to step 5:
11 goes into 26 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 5792.0
Subtract 22 from 26 to get 4.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 11

Step 6:
The number 11 fits into 48 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 57924.0
If we subtract 44 from 48, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
If we divide 40 by 11, we get 3 and a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 57924.3
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
If we divide 70 by 11, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 57924.36
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
11 can be fit into 40 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 57924.363
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 10:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 57924.3636
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
11 goes into 40 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 57924.36363
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 12:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 57924.363636
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
When dividing 40 by 11, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 57924.3636363
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 14:
When dividing 70 by 11, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 57924.36363636
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 57924.36363636, and the remainder is 4e-09.