We look at the division of 916165 by 15 
We're looking to find how many times 15 goes into 916165.

Going ahead to step 1:
When dividing 9 by 15, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 15

Step 2:
If we divide 91 by 15, we get 6 and a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 90 from 91, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 15

Advancing to step 3:
When dividing 16 by 15, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Subtracting 15 from 16 leaves us with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 15

On to step 4:
11 divided by 15 is 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 610.0
If we take 0 away from 11, we end up with 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 15

Going ahead to step 5:
15 goes into 116 7 times with a remainder of 11.
The next digit of our result is 7. 
Result so far: 6107.0
Subtracting 105 from 116 leaves us with 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 15

Step 6:
The number 15 fits into 115 7 times, leaving a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 61077.0
Deduct 105 from 115 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.

Moving on to step 7:
The number 15 fits into 100 6 times, leaving a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 61077.6
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 8:
100 divided by 15 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 61077.66
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 61077.66 with a remainder of 0.01.