We're dividing 397319 by 88 
We're looking to find how many times 88 goes into 397319.

Going ahead to step 1:
If we divide 3 by 88, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 88

Advancing to step 2:
88 can be fit into 39 0 times, resulting in a remainder of 39.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 39 to get 39.
Grab the next digit (7) from the dividend, add it to 39, then carry on: 397 / 88

Going ahead to step 3:
397 divided by 88 is 4 with a remainder of 45.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 352 away from 397, we end up with 45.
Include the next digit (3) from the dividend after 45, then repeat: 453 / 88

Let's proceed to step 4:
When dividing 453 by 88, we get 5 with a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
Subtracting 440 from 453 leaves us with 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 88

On to step 5:
131 divided by 88 is 1 with a remainder of 43.
The next digit of our result is 1. 
Result so far: 451.0
Deduct 88 from 131 and we're left with 43.
Take the next digit (9) from the dividend and append it to 43, then repeat: 439 / 88

Going ahead to step 6:
88 goes into 439 4 times with a remainder of 87.
Write down 4 as next digit of the result. 
Result so far: 4514.0
Subtracting 352 from 439 leaves us with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Moving on to step 7:
If we divide 870 by 88, we get 9 and a remainder of 78.
Record the quotient 9 as the next digit in the result. 
Result so far: 4514.9
The remainder is 78 after subtracting 792 from 870.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 8:
The number 88 fits into 780 8 times, leaving a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 4514.98
Subtract 704 from 780 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 9:
When dividing 760 by 88, we get 8 with a remainder of 56.
The number 8 becomes the next digit in our result. 
Result so far: 4514.988
If we subtract 704 from 760, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final outcome is 4514.988, with a leftover of 0.0056.