We divide 958666 by 15
We're looking to find how many times 15 goes into 958666.

Let's proceed to step 1:
15 can be fit into 9 0 times, resulting in a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 15

Advancing to step 2:
95 divided by 15 is 6 with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 5 after subtracting 90 from 95.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 15

Moving on to step 3:
15 can be fit into 58 3 times, resulting in a remainder of 13.
The next digit of our result is 3. 
Result so far: 63.0
Subtract 45 from 58 to get 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 15

Step 4:
136 divided by 15 is 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 639.0
Subtract 135 from 136 to get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 15

On to step 5:
If we divide 16 by 15, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 6391.0
Deduct 15 from 16 and we're left with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 15

Step 6:
15 can be fit into 16 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 63911.0
Deduct 15 from 16 and we're left 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.

Going ahead to step 7:
The number 15 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 63911.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 63911.06
Subtract 90 from 100 to 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.

Step 9:
When dividing 100 by 15, we get 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 63911.066
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.

The final result is 63911.066 with a remainder of 0.001.