We're dividing 516678 by 11 
We want to figure out the number of times 516678 can be divided by 11.

On to step 1:
If we divide 5 by 11, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 11

Going ahead to step 2:
11 goes into 51 4 times with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 44 from 51 and we're left with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 11

Advancing to step 3:
When dividing 76 by 11, we get 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 46.0
Deduct 66 from 76 and we're left with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 11

Moving on to step 4:
11 goes into 106 9 times with a remainder of 7.
The next digit of our result is 9. 
Result so far: 469.0
Deduct 99 from 106 and we're left with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 11

On to step 5:
77 divided by 11 is 7 with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 4697.0
If we take 77 away from 77, we end up with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 11

Moving on to step 6:
If we divide 8 by 11, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 46970.0
Subtract 0 from 8 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.

Step 7:
When dividing 80 by 11, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 46970.7
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 8:
If we divide 30 by 11, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 46970.72
Subtracting 22 from 30 leaves us 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 9:
11 can be fit into 80 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 46970.727
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 10:
11 can be fit into 30 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 46970.7272
Subtracting 22 from 30 leaves us 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.

Going ahead to step 11:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 46970.72727
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.

Advancing to step 12:
11 can be fit into 30 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 46970.727272
If we subtract 22 from 30, we 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.

Going ahead to step 13:
If we divide 80 by 11, we get 7 and a remainder of 3.
The next digit of our result is 7. 
Result so far: 46970.7272727
The remainder is 3 after subtracting 77 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 14:
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: 46970.72727272
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.

The final outcome is 46970.72727272, with a leftover of 8e-09.