We look at the division of 10778787 by 553 
Our goal is to divide 10778787 by 553.

Going ahead to step 1:
553 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 553

Advancing to step 2:
553 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 553

Advancing to step 3:
The number 553 fits into 107 0 times, leaving a remainder of 107.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 107 and we're left with 107.
Append the next digit (7) from the dividend to 107 and continue with: 1077 / 553

Advancing to step 4:
553 goes into 1077 1 times with a remainder of 524.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 553 from 1077 and we're left with 524.
Append the next digit (8) from the dividend to 524 and continue with: 5248 / 553

Let's proceed to step 5:
553 goes into 5248 9 times with a remainder of 271.
The next digit of our result is 9. 
Result so far: 19.0
If we subtract 4977 from 5248, we get 271.
Fetch the next digit (7) from the dividend, attach it to 271 and continue: 2717 / 553

Let's proceed to step 6:
The number 553 fits into 2717 4 times, leaving a remainder of 505.
The number 4 becomes the next digit in our result. 
Result so far: 194.0
If we take 2212 away from 2717, we end up with 505.
Append the next digit (8) from the dividend to 505 and continue with: 5058 / 553

Going ahead to step 7:
553 can be fit into 5058 9 times, resulting in a remainder of 81.
The next digit of our result is 9. 
Result so far: 1949.0
If we take 4977 away from 5058, we end up with 81.
Grab the next digit (7) from the dividend, add it to 81, then carry on: 817 / 553

Let's proceed to step 8:
553 goes into 817 1 times with a remainder of 264.
Write down 1 as next digit of the result. 
Result so far: 19491.0
Deduct 553 from 817 and we're left with 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Step 9:
The number 553 fits into 2640 4 times, leaving a remainder of 428.
Record the quotient 4 as the next digit in the result. 
Result so far: 19491.4
Subtracting 2212 from 2640 leaves us with 428.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4280, and continue the process.

Going ahead to step 10:
553 goes into 4280 7 times with a remainder of 409.
Record the quotient 7 as the next digit in the result. 
Result so far: 19491.47
The remainder is 409 after subtracting 3871 from 4280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4090, and continue the process.

Going ahead to step 11:
553 can be fit into 4090 7 times, resulting in a remainder of 219.
Put 7 as the next digit of the answer. 
Result so far: 19491.477
If we subtract 3871 from 4090, we get 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

After the division, we end up with 19491.477 and a remainder of 0.0219.