We look at the division of 11880935 by 553 
We want to figure out the number of times 11880935 can be divided by 553.

Moving on to step 1:
553 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 553

Moving on to step 2:
11 divided by 553 is 0 with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 553

Step 3:
553 goes into 118 0 times with a remainder of 118.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 118, we end up with 118.
Take the next digit (8) from the dividend and append it to 118, then repeat: 1188 / 553

Step 4:
When dividing 1188 by 553, we get 2 with a remainder of 82.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 1106 from 1188 and we're left with 82.
Take the next digit (0) from the dividend and append it to 82, then repeat: 820 / 553

Moving on to step 5:
If we divide 820 by 553, we get 1 and a remainder of 267.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Subtract 553 from 820 to get 267.
Fetch the next digit (9) from the dividend, attach it to 267 and continue: 2679 / 553

Advancing to step 6:
When dividing 2679 by 553, we get 4 with a remainder of 467.
The next digit of our result is 4. 
Result so far: 214.0
If we subtract 2212 from 2679, we get 467.
Append the next digit (3) from the dividend to 467 and continue with: 4673 / 553

Advancing to step 7:
The number 553 fits into 4673 8 times, leaving a remainder of 249.
The next digit of our result is 8. 
Result so far: 2148.0
The remainder is 249 after subtracting 4424 from 4673.
Append the next digit (5) from the dividend to 249 and continue with: 2495 / 553

Moving on to step 8:
553 goes into 2495 4 times with a remainder of 283.
Write down 4 as next digit of the result. 
Result so far: 21484.0
Subtracting 2212 from 2495 leaves us with 283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2830, and continue the process.

On to step 9:
2830 divided by 553 is 5 with a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 21484.5
If we take 2765 away from 2830, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 10:
If we divide 650 by 553, we get 1 and a remainder of 97.
Use 1 as the next digit of our solution. 
Result so far: 21484.51
If we subtract 553 from 650, we get 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Going ahead to step 11:
553 goes into 970 1 times with a remainder of 417.
The number 1 becomes the next digit in our result. 
Result so far: 21484.511
Deduct 553 from 970 and we're left with 417.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4170, and continue the process.

In conclusion, the division gives 21484.511 with a balance of 0.0417.