Let's divide 635324 by 15
We're looking to find how many times 15 goes into 635324.

Going ahead to step 1:
15 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 15

Going ahead to step 2:
63 divided by 15 is 4 with a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 60 from 63 to get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 15

Advancing to step 3:
If we divide 35 by 15, we get 2 and a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 42.0
If we take 30 away from 35, we end up with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 15

Advancing to step 4:
15 goes into 53 3 times with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 423.0
If we take 45 away from 53, we end up with 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 15

Going ahead to step 5:
15 goes into 82 5 times with a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 4235.0
Subtracting 75 from 82 leaves us with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 15

On to step 6:
If we divide 74 by 15, we get 4 and a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 42354.0
The remainder is 14 after subtracting 60 from 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
140 divided by 15 is 9 with a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 42354.9
Subtracting 135 from 140 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.

Let's proceed to step 8:
When dividing 50 by 15, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 42354.93
If we take 45 away from 50, we end up 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 9:
50 divided by 15 is 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 42354.933
If we subtract 45 from 50, we 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.

The final outcome is 42354.933, with a leftover of 0.0005.