We look at the division of 553307 by 88 
Let's see how many times 88 fits into 553307.

Moving on to step 1:
The number 88 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 88

Let's proceed to step 2:
When dividing 55 by 88, we get 0 with a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Fetch the next digit (3) from the dividend, attach it to 55 and continue: 553 / 88

Moving on to step 3:
88 goes into 553 6 times with a remainder of 25.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 528 from 553 and we're left with 25.
Bring next digit (3) of the dividend behind the 25 and repeat the process: 253 / 88

Going ahead to step 4:
88 goes into 253 2 times with a remainder of 77.
Write down 2 as next digit of the result. 
Result so far: 62.0
If we take 176 away from 253, we end up with 77.
Include the next digit (0) from the dividend after 77, then repeat: 770 / 88

Step 5:
If we divide 770 by 88, we get 8 and a remainder of 66.
Record the quotient 8 as the next digit in the result. 
Result so far: 628.0
If we take 704 away from 770, we end up with 66.
Take the next digit (7) from the dividend and append it to 66, then repeat: 667 / 88

Advancing to step 6:
667 divided by 88 is 7 with a remainder of 51.
Write down 7 as next digit of the result. 
Result so far: 6287.0
The remainder is 51 after subtracting 616 from 667.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 7:
If we divide 510 by 88, we get 5 and a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 6287.5
The remainder is 70 after subtracting 440 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
If we divide 700 by 88, we get 7 and a remainder of 84.
Write down 7 as next digit of the result. 
Result so far: 6287.57
Subtracting 616 from 700 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Step 9:
88 goes into 840 9 times with a remainder of 48.
Put 9 as the next digit of the answer. 
Result so far: 6287.579
Deduct 792 from 840 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 10:
88 goes into 480 5 times with a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 6287.5795
The remainder is 40 after subtracting 440 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
When dividing 400 by 88, we get 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 6287.57954
Subtract 352 from 400 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 12:
When dividing 480 by 88, we get 5 with a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 6287.579545
If we subtract 440 from 480, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 13:
88 goes into 400 4 times with a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 6287.5795454
Subtract 352 from 400 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 14:
If we divide 480 by 88, we get 5 and a remainder of 40.
The next digit of our result is 5. 
Result so far: 6287.57954545
Subtract 440 from 480 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 6287.57954545 with a remainder of 4e-08.