679742 divided by 11 
We want to figure out the number of times 679742 can be divided by 11.

Moving on to step 1:
6 divided by 11 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 11

Step 2:
If we divide 67 by 11, we get 6 and a remainder of 1.
The next digit of our result is 6. 
Result so far: 6.0
If we take 66 away from 67, we end up with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 11

On to step 3:
When dividing 19 by 11, we get 1 with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 61.0
Subtracting 11 from 19 leaves us with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 11

Step 4:
The number 11 fits into 87 7 times, leaving a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 617.0
The remainder is 10 after subtracting 77 from 87.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 11

Going ahead to step 5:
The number 11 fits into 104 9 times, leaving a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 6179.0
Deduct 99 from 104 and we're left with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 11

Step 6:
11 can be fit into 52 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 61794.0
If we take 44 away from 52, we end up 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 7:
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: 61794.7
Subtracting 77 from 80 leaves us 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.

Step 8:
If we divide 30 by 11, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 61794.72
If we take 22 away from 30, we end up 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 9:
11 goes into 80 7 times with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 61794.727
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 10:
11 goes into 30 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 61794.7272
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.

Advancing to step 11:
80 divided by 11 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 61794.72727
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:
When dividing 30 by 11, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 61794.727272
Deduct 22 from 30 and we're left 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 13:
11 can be fit into 80 7 times, resulting in a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 61794.7272727
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.

Advancing to step 14:
11 goes into 30 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 61794.72727272
Deduct 22 from 30 and we're left 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.

The quotient of the division is 61794.72727272, and the remainder is 8e-09.