We look at the division of 11033087 by 553 
Our goal is to divide 11033087 by 553.

Going ahead to step 1:
The number 553 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 553

Going ahead to step 2:
If we divide 11 by 553, we get 0 and a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 553

Moving on to step 3:
553 goes into 110 0 times with a remainder of 110.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 110, we end up with 110.
Take the next digit (3) from the dividend and append it to 110, then repeat: 1103 / 553

Let's proceed to step 4:
553 goes into 1103 1 times with a remainder of 550.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 553 from 1103, we get 550.
Take the next digit (3) from the dividend and append it to 550, then repeat: 5503 / 553

Moving on to step 5:
When dividing 5503 by 553, we get 9 with a remainder of 526.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
If we subtract 4977 from 5503, we get 526.
Grab the next digit (0) from the dividend, add it to 526, then carry on: 5260 / 553

Advancing to step 6:
When dividing 5260 by 553, we get 9 with a remainder of 283.
The number 9 becomes the next digit in our result. 
Result so far: 199.0
The remainder is 283 after subtracting 4977 from 5260.
Grab the next digit (8) from the dividend, add it to 283, then carry on: 2838 / 553

Advancing to step 7:
When dividing 2838 by 553, we get 5 with a remainder of 73.
The next digit of our result is 5. 
Result so far: 1995.0
If we subtract 2765 from 2838, we get 73.
Append the next digit (7) from the dividend to 73 and continue with: 737 / 553

Moving on to step 8:
737 divided by 553 is 1 with a remainder of 184.
The number 1 becomes the next digit in our result. 
Result so far: 19951.0
If we subtract 553 from 737, we get 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Going ahead to step 9:
If we divide 1840 by 553, we get 3 and a remainder of 181.
Use 3 as the next digit of our solution. 
Result so far: 19951.3
If we take 1659 away from 1840, we end up with 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

On to step 10:
If we divide 1810 by 553, we get 3 and a remainder of 151.
Use 3 as the next digit of our solution. 
Result so far: 19951.33
Subtracting 1659 from 1810 leaves us with 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1510, and continue the process.

The quotient of the division is 19951.33, and the remainder is 0.151.