We're dividing 771974 by 15 
Let's see how many times 15 fits into 771974.

Going ahead to step 1:
The number 15 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 15

Step 2:
The number 15 fits into 77 5 times, leaving a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 75 from 77 to get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 15

Moving on to step 3:
21 divided by 15 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
The remainder is 6 after subtracting 15 from 21.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 15

Going ahead to step 4:
The number 15 fits into 69 4 times, leaving a remainder of 9.
The next digit of our result is 4. 
Result so far: 514.0
Deduct 60 from 69 and we're left with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 15

On to step 5:
The number 15 fits into 97 6 times, leaving a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 5146.0
Subtract 90 from 97 to get 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 15

Moving on to step 6:
15 can be fit into 74 4 times, resulting in a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 51464.0
If we take 60 away from 74, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
15 can be fit into 140 9 times, resulting in a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 51464.9
If we take 135 away from 140, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
15 goes into 50 3 times with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 51464.93
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
15 goes into 50 3 times with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 51464.933
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 51464.933 with a remainder of 0.0005.