We look at the division of 416668 by 11 
We want to figure out the number of times 416668 can be divided by 11.

Step 1:
11 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 11

On to step 2:
11 can be fit into 41 3 times, resulting in a remainder of 8.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 33 from 41 to get 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 11

Moving on to step 3:
11 goes into 86 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 37.0
If we take 77 away from 86, we end up with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 11

Moving on to step 4:
11 can be fit into 96 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 378.0
If we take 88 away from 96, we end up with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 11

Moving on to step 5:
The number 11 fits into 86 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 3787.0
Subtract 77 from 86 to get 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 11

Step 6:
If we divide 98 by 11, we get 8 and a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 37878.0
Deduct 88 from 98 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
When dividing 100 by 11, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 37878.9
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
If we divide 10 by 11, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 37878.9
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
100 divided by 11 is 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 37878.909
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
11 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 37878.909
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
100 divided by 11 is 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 37878.90909
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 12:
If we divide 10 by 11, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 37878.90909
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
The number 11 fits into 100 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 37878.9090909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 14:
When dividing 10 by 11, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 37878.9090909
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 37878.9090909, with a leftover of 1e-08.