We're dividing 478679 by 11 
Let's see how many times 11 fits into 478679.

On to step 1:
The number 11 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 11

On to step 2:
11 goes into 47 4 times with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 44 away from 47, we end up with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 11

Step 3:
38 divided by 11 is 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 43.0
If we subtract 33 from 38, we get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 11

Going ahead to step 4:
56 divided by 11 is 5 with a remainder of 1.
The next digit of our result is 5. 
Result so far: 435.0
If we subtract 55 from 56, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 11

Step 5:
17 divided by 11 is 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 4351.0
Deduct 11 from 17 and we're left with 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 11

Moving on to step 6:
The number 11 fits into 69 6 times, leaving a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 43516.0
If we take 66 away from 69, 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.

Step 7:
If we divide 30 by 11, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 43516.2
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.

Step 8:
When dividing 80 by 11, we get 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 43516.27
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.

Going ahead to step 9:
11 goes into 30 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 43516.272
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.

Step 10:
11 can be fit into 80 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 43516.2727
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 11:
If we divide 30 by 11, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 43516.27272
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.

Advancing to step 12:
11 goes into 80 7 times with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 43516.272727
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.

Going ahead to step 13:
The number 11 fits into 30 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 43516.2727272
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 14:
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: 43516.27272727
Deduct 77 from 80 and we're left 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.

In conclusion, the division gives 43516.27272727 with a balance of 3e-09.