We're dividing 976789 by 15 
We're looking to find how many times 15 goes into 976789.

Let's proceed 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
If we subtract 0 from 9, we get 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 15

Step 2:
The number 15 fits into 97 6 times, leaving a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 90 away from 97, we end up with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 15

Advancing to step 3:
15 can be fit into 76 5 times, resulting in a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 65.0
Subtract 75 from 76 to get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 15

Moving on to step 4:
17 divided by 15 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 651.0
Deduct 15 from 17 and we're left with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 15

Moving on to step 5:
If we divide 28 by 15, we get 1 and a remainder of 13.
The next digit of our result is 1. 
Result so far: 6511.0
Deduct 15 from 28 and we're left with 13.
Bring next digit (9) of the dividend behind the 13 and repeat the process: 139 / 15

Let's proceed to step 6:
139 divided by 15 is 9 with a remainder of 4.
The next digit of our result is 9. 
Result so far: 65119.0
Deduct 135 from 139 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
15 can be fit into 40 2 times, resulting in a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 65119.2
Deduct 30 from 40 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.

Going ahead to step 8:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 65119.26
If we take 90 away from 100, we end up 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.

On to step 9:
When dividing 100 by 15, we get 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 65119.266
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 65119.266 with a remainder of 0.001.