Let's divide 4648 by 11
We want to figure out the number of times 4648 can be divided by 11.

On to step 1:
4 divided by 11 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 11

Moving on to step 2:
11 goes into 46 4 times with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 44 from 46 leaves us with 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 11

Step 3:
The number 11 fits into 24 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 42.0
The remainder is 2 after subtracting 22 from 24.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 11

Advancing to step 4:
When dividing 28 by 11, we get 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 422.0
Subtract 22 from 28 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 5:
The number 11 fits into 60 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 422.5
If we take 55 away from 60, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 6:
50 divided by 11 is 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 422.54
Deduct 44 from 50 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
When dividing 60 by 11, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 422.545
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
50 divided by 11 is 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 422.5454
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
The number 11 fits into 60 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 422.54545
Subtract 55 from 60 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
11 goes into 50 4 times with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 422.545454
Deduct 44 from 50 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
When dividing 60 by 11, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 422.5454545
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
If we divide 50 by 11, we get 4 and a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 422.54545454
If we take 44 away from 50, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 422.54545454 with a remainder of 6e-09.