We're dividing 879388 by 53 
Let's see how many times 53 fits into 879388.

On to step 1:
53 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 53

Moving on to step 2:
53 can be fit into 87 1 times, resulting in a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 53 from 87 leaves us with 34.
Grab the next digit (9) from the dividend, add it to 34, then carry on: 349 / 53

Going ahead to step 3:
53 can be fit into 349 6 times, resulting in a remainder of 31.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we subtract 318 from 349, we get 31.
Bring next digit (3) of the dividend behind the 31 and repeat the process: 313 / 53

Step 4:
53 can be fit into 313 5 times, resulting in a remainder of 48.
Put 5 as the next digit of the answer. 
Result so far: 165.0
Subtract 265 from 313 to get 48.
Include the next digit (8) from the dividend after 48, then repeat: 488 / 53

Step 5:
53 can be fit into 488 9 times, resulting in a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 1659.0
If we subtract 477 from 488, we get 11.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 53

On to step 6:
If we divide 118 by 53, we get 2 and a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 16592.0
Subtract 106 from 118 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
When dividing 120 by 53, we get 2 with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 16592.2
Subtract 106 from 120 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
53 goes into 140 2 times with a remainder of 34.
The next digit of our result is 2. 
Result so far: 16592.22
Deduct 106 from 140 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 16592.22 with a remainder of 0.034.