We divide 997657 by 15
We want to figure out the number of times 997657 can be divided by 15.

On to step 1:
If we divide 9 by 15, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (9) from the dividend, attach it to 9 and continue: 99 / 15

Let's proceed to step 2:
99 divided by 15 is 6 with a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 9 after subtracting 90 from 99.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 15

On to step 3:
97 divided by 15 is 6 with a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 66.0
If we subtract 90 from 97, we get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 15

On to step 4:
If we divide 76 by 15, we get 5 and a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 665.0
Subtracting 75 from 76 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 15

Step 5:
The number 15 fits into 15 1 times, leaving a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 6651.0
Deduct 15 from 15 and we're left with 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 15

Going ahead to step 6:
7 divided by 15 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 66510.0
Deduct 0 from 7 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
When dividing 70 by 15, we get 4 with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 66510.4
Deduct 60 from 70 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.

Advancing 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: 66510.46
The remainder is 10 after subtracting 90 from 100.
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 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: 66510.466
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 66510.466 with a remainder of 0.001.