We're dividing 638528 by 11 
We're looking to find how many times 11 goes into 638528.

Step 1:
11 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 11

Step 2:
The number 11 fits into 63 5 times, leaving a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 55 from 63 to get 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 11

Advancing to step 3:
The number 11 fits into 88 8 times, leaving a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 58.0
Subtracting 88 from 88 leaves us with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 11

Moving on to step 4:
The number 11 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 580.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 11

On to step 5:
11 goes into 52 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 5804.0
Subtracting 44 from 52 leaves us with 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 11

Step 6:
If we divide 88 by 11, we get 8 and a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 58048.0
The remainder is 0 after subtracting 88 from 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
When dividing 0 by 11, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 58048.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
When dividing 0 by 11, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 58048.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 58048.0, with a leftover of 0.0.