We're dividing 954661 by 15 
Let's see how many times 15 fits into 954661.

Let's proceed to step 1:
If we divide 9 by 15, we get 0 and a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 15

Advancing to step 2:
When dividing 95 by 15, we get 6 with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 90 away from 95, we end up with 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 15

Going ahead to step 3:
If we divide 54 by 15, we get 3 and a remainder of 9.
The next digit of our result is 3. 
Result so far: 63.0
Subtracting 45 from 54 leaves us with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 15

Let's proceed to step 4:
96 divided by 15 is 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 636.0
Deduct 90 from 96 and we're left with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 15

Going ahead to step 5:
15 goes into 66 4 times with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 6364.0
The remainder is 6 after subtracting 60 from 66.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 15

Moving on to step 6:
15 can be fit into 61 4 times, resulting in a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 63644.0
If we take 60 away from 61, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
When dividing 10 by 15, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 63644.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
15 goes into 100 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 63644.06
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
15 goes into 100 6 times with a remainder of 10.
The next digit of our result is 6. 
Result so far: 63644.066
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 63644.066 with a balance of 0.001.