We look at the division of 975679 by 15 
We're looking to find how many times 15 goes into 975679.

Step 1:
15 can be fit into 9 0 times, resulting in a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 15

Let's proceed to step 2:
When dividing 97 by 15, we get 6 with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 7 after subtracting 90 from 97.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 15

On to step 3:
15 goes into 75 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 65.0
If we subtract 75 from 75, we get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 15

On to step 4:
The number 15 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 650.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 15

Advancing to step 5:
15 goes into 67 4 times with a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 6504.0
If we subtract 60 from 67, we get 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 15

Let's proceed to step 6:
15 goes into 79 5 times with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 65045.0
Subtracting 75 from 79 leaves us 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.

Step 7:
If we divide 40 by 15, we get 2 and a remainder of 10.
The next digit of our result is 2. 
Result so far: 65045.2
Subtract 30 from 40 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.

On to step 8:
15 goes into 100 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 65045.26
Subtracting 90 from 100 leaves us 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.

Step 9:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 65045.266
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 65045.266 with a remainder of 0.001.