11827376 divided by 553 
We want to figure out the number of times 11827376 can be divided by 553.

Going ahead to step 1:
1 divided by 553 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 553

Step 2:
553 goes into 11 0 times with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 553

Advancing to step 3:
If we divide 118 by 553, we get 0 and a remainder of 118.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 118 after subtracting 0 from 118.
Bring next digit (2) of the dividend behind the 118 and repeat the process: 1182 / 553

Let's proceed to step 4:
553 can be fit into 1182 2 times, resulting in a remainder of 76.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 1106 from 1182 leaves us with 76.
Fetch the next digit (7) from the dividend, attach it to 76 and continue: 767 / 553

Let's proceed to step 5:
553 goes into 767 1 times with a remainder of 214.
Use 1 as the next digit of our solution. 
Result so far: 21.0
The remainder is 214 after subtracting 553 from 767.
Take the next digit (3) from the dividend and append it to 214, then repeat: 2143 / 553

On to step 6:
If we divide 2143 by 553, we get 3 and a remainder of 484.
Use 3 as the next digit of our solution. 
Result so far: 213.0
Subtract 1659 from 2143 to get 484.
Include the next digit (7) from the dividend after 484, then repeat: 4847 / 553

Step 7:
553 can be fit into 4847 8 times, resulting in a remainder of 423.
Use 8 as the next digit of our solution. 
Result so far: 2138.0
If we subtract 4424 from 4847, we get 423.
Bring next digit (6) of the dividend behind the 423 and repeat the process: 4236 / 553

Going ahead to step 8:
When dividing 4236 by 553, we get 7 with a remainder of 365.
Write down 7 as next digit of the result. 
Result so far: 21387.0
If we take 3871 away from 4236, we end up with 365.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3650, and continue the process.

Advancing to step 9:
The number 553 fits into 3650 6 times, leaving a remainder of 332.
Record the quotient 6 as the next digit in the result. 
Result so far: 21387.6
If we take 3318 away from 3650, we end up with 332.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3320, and continue the process.

Step 10:
When dividing 3320 by 553, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 21387.66
If we subtract 3318 from 3320, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 21387.66 with a remainder of 0.002.