We look at the division of 771166 by 15 
We want to divide 771166 by 15.

Let's proceed to step 1:
When dividing 7 by 15, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 15

Let's proceed to step 2:
15 can be fit into 77 5 times, resulting in a remainder of 2.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 75 from 77, we get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 15

Step 3:
If we divide 21 by 15, we get 1 and a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
Subtract 15 from 21 to get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 15

On to step 4:
When dividing 61 by 15, we get 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 514.0
Subtracting 60 from 61 leaves us with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 15

Advancing to step 5:
If we divide 16 by 15, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 5141.0
Subtracting 15 from 16 leaves us with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 15

Advancing to step 6:
When dividing 16 by 15, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 51411.0
If we take 15 away from 16, we end up 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.

On to step 7:
10 divided by 15 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 51411.0
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.

Advancing to step 8:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 51411.06
If we subtract 90 from 100, we 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.

Moving on to step 9:
The number 15 fits into 100 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 51411.066
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 51411.066 with a remainder of 0.001.