We're dividing 507842 by 88 
Our goal is to divide 507842 by 88.

Advancing 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
The remainder is 5 after subtracting 0 from 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 88

Let's proceed to step 2:
The number 88 fits into 50 0 times, leaving a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Bring next digit (7) of the dividend behind the 50 and repeat the process: 507 / 88

Moving on to step 3:
88 goes into 507 5 times with a remainder of 67.
The next digit of our result is 5. 
Result so far: 5.0
If we take 440 away from 507, we end up with 67.
Fetch the next digit (8) from the dividend, attach it to 67 and continue: 678 / 88

Moving on to step 4:
678 divided by 88 is 7 with a remainder of 62.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
If we take 616 away from 678, we end up with 62.
Append the next digit (4) from the dividend to 62 and continue with: 624 / 88

Step 5:
When dividing 624 by 88, we get 7 with a remainder of 8.
The next digit of our result is 7. 
Result so far: 577.0
Subtracting 616 from 624 leaves us with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 88

Going ahead to step 6:
82 divided by 88 is 0 with a remainder of 82.
Put 0 as the next digit of the answer. 
Result so far: 5770.0
If we take 0 away from 82, we end up with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Advancing to step 7:
88 goes into 820 9 times with a remainder of 28.
Use 9 as the next digit of our solution. 
Result so far: 5770.9
Subtracting 792 from 820 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
When dividing 280 by 88, we get 3 with a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 5770.93
If we take 264 away from 280, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
The number 88 fits into 160 1 times, leaving a remainder of 72.
Write down 1 as next digit of the result. 
Result so far: 5770.931
Deduct 88 from 160 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 10:
The number 88 fits into 720 8 times, leaving a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 5770.9318
If we subtract 704 from 720, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
88 can be fit into 160 1 times, resulting in a remainder of 72.
Record the quotient 1 as the next digit in the result. 
Result so far: 5770.93181
Subtract 88 from 160 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 12:
88 goes into 720 8 times with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 5770.931818
Subtracting 704 from 720 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 13:
88 goes into 160 1 times with a remainder of 72.
Put 1 as the next digit of the answer. 
Result so far: 5770.9318181
If we subtract 88 from 160, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 14:
720 divided by 88 is 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 5770.93181818
Subtracting 704 from 720 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 5770.93181818 and a remainder of 1.6e-08.