Let's divide 508427 by 15
We want to divide 508427 by 15.

Going ahead to step 1:
When dividing 5 by 15, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 15

Advancing to step 2:
15 can be fit into 50 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 45 from 50 and we're left with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 15

Going ahead to step 3:
If we divide 58 by 15, we get 3 and a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Subtract 45 from 58 to get 13.
Bring next digit (4) of the dividend behind the 13 and repeat the process: 134 / 15

Advancing to step 4:
If we divide 134 by 15, we get 8 and a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 338.0
If we subtract 120 from 134, we get 14.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 15

Advancing to step 5:
15 can be fit into 142 9 times, resulting in a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 3389.0
Subtract 135 from 142 to get 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 15

Advancing to step 6:
15 goes into 77 5 times with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 33895.0
If we subtract 75 from 77, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
15 goes into 20 1 times with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 33895.1
Subtracting 15 from 20 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 33895.13
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
When dividing 50 by 15, we get 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 33895.133
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 33895.133, and the remainder is 0.0005.