We look at the division of 5488583 by 797 
We're looking to find how many times 797 goes into 5488583.

Let's proceed to step 1:
The number 797 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 797

Advancing to step 2:
The number 797 fits into 54 0 times, leaving a remainder of 54.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 54 leaves us with 54.
Bring next digit (8) of the dividend behind the 54 and repeat the process: 548 / 797

Step 3:
When dividing 548 by 797, we get 0 with a remainder of 548.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 548 leaves us with 548.
Fetch the next digit (8) from the dividend, attach it to 548 and continue: 5488 / 797

Let's proceed to step 4:
797 can be fit into 5488 6 times, resulting in a remainder of 706.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 4782 from 5488 to get 706.
Grab the next digit (5) from the dividend, add it to 706, then carry on: 7065 / 797

Moving on to step 5:
797 goes into 7065 8 times with a remainder of 689.
Put 8 as the next digit of the answer. 
Result so far: 68.0
If we take 6376 away from 7065, we end up with 689.
Bring next digit (8) of the dividend behind the 689 and repeat the process: 6898 / 797

Let's proceed to step 6:
When dividing 6898 by 797, we get 8 with a remainder of 522.
Put 8 as the next digit of the answer. 
Result so far: 688.0
Deduct 6376 from 6898 and we're left with 522.
Take the next digit (3) from the dividend and append it to 522, then repeat: 5223 / 797

Going ahead to step 7:
5223 divided by 797 is 6 with a remainder of 441.
Record the quotient 6 as the next digit in the result. 
Result so far: 6886.0
Subtract 4782 from 5223 to get 441.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4410, and continue the process.

On to step 8:
When dividing 4410 by 797, we get 5 with a remainder of 425.
Use 5 as the next digit of our solution. 
Result so far: 6886.5
Subtract 3985 from 4410 to get 425.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4250, and continue the process.

Advancing to step 9:
The number 797 fits into 4250 5 times, leaving a remainder of 265.
Put 5 as the next digit of the answer. 
Result so far: 6886.55
The remainder is 265 after subtracting 3985 from 4250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

Our division results in 6886.55 with a remaining 0.265.