We divide 777765 by 17
We want to divide 777765 by 17.

Let's proceed to step 1:
7 divided by 17 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 17

Moving on to step 2:
77 divided by 17 is 4 with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 68 from 77 and we're left with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 17

Going ahead to step 3:
When dividing 97 by 17, we get 5 with a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 45.0
If we subtract 85 from 97, we get 12.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 17

Advancing to step 4:
127 divided by 17 is 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 457.0
If we subtract 119 from 127, we get 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 17

On to step 5:
When dividing 86 by 17, we get 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 4575.0
If we take 85 away from 86, we end up with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 17

Let's proceed to step 6:
If we divide 15 by 17, we get 0 and a remainder of 15.
The next digit of our result is 0. 
Result so far: 45750.0
Subtracting 0 from 15 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
17 can be fit into 150 8 times, resulting in a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 45750.8
If we take 136 away from 150, 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.

On to step 8:
17 can be fit into 140 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 45750.88
If we take 136 away from 140, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 45750.88, and the remainder is 0.004.