We divide 949634 by 15
We're looking to find how many times 15 goes into 949634.

Going ahead to step 1:
If we divide 9 by 15, we get 0 and a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 15

Step 2:
When dividing 94 by 15, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 90 from 94 leaves us with 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 15

Advancing to step 3:
49 divided by 15 is 3 with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 63.0
If we take 45 away from 49, we end up with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 15

Going ahead to step 4:
15 can be fit into 46 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 633.0
Subtract 45 from 46 to get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 15

Advancing to step 5:
13 divided by 15 is 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 6330.0
Deduct 0 from 13 and we're left with 13.
Grab the next digit (4) from the dividend, add it to 13, then carry on: 134 / 15

Let's proceed to step 6:
15 goes into 134 8 times with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 63308.0
Deduct 120 from 134 and we're left with 14.
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:
The number 15 fits into 140 9 times, leaving a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 63308.9
The remainder is 5 after subtracting 135 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on 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: 63308.93
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.

Advancing to step 9:
If we divide 50 by 15, we get 3 and a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 63308.933
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.

In conclusion, the division gives 63308.933 with a balance of 0.0005.