We look at the division of 765921 by 15 
Let's see how many times 15 fits into 765921.

Advancing to step 1:
If we divide 7 by 15, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 15

Step 2:
15 can be fit into 76 5 times, resulting in a remainder of 1.
The next digit of our result is 5. 
Result so far: 5.0
If we take 75 away from 76, we end up with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 15

Moving on to step 3:
15 goes into 15 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 51.0
The remainder is 0 after subtracting 15 from 15.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 15

Let's proceed to step 4:
If we divide 9 by 15, we get 0 and a remainder of 9.
The next digit of our result is 0. 
Result so far: 510.0
If we take 0 away from 9, we end up with 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 15

On to step 5:
92 divided by 15 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 5106.0
If we take 90 away from 92, we end up with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 15

Let's proceed to step 6:
21 divided by 15 is 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 51061.0
If we subtract 15 from 21, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
15 goes into 60 4 times with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 51061.4
If we subtract 60 from 60, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
When dividing 0 by 15, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 51061.4
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
0 divided by 15 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 51061.4
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 51061.4, and the remainder is 0.0.