786770 ÷ 17 
Let's see how many times 17 fits into 786770.

Advancing to step 1:
If we divide 7 by 17, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 17

Let's proceed to step 2:
If we divide 78 by 17, we get 4 and a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 68 from 78 to get 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 17

Moving on to step 3:
106 divided by 17 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 46.0
Deduct 102 from 106 and we're left with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 17

On to step 4:
If we divide 47 by 17, we get 2 and a remainder of 13.
The next digit of our result is 2. 
Result so far: 462.0
If we subtract 34 from 47, we get 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 17

Moving on to step 5:
If we divide 137 by 17, we get 8 and a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 4628.0
The remainder is 1 after subtracting 136 from 137.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 17

On to step 6:
If we divide 10 by 17, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 46280.0
Subtracting 0 from 10 leaves us 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.

Let's proceed to step 7:
100 divided by 17 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 46280.5
The remainder is 15 after subtracting 85 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
17 can be fit into 150 8 times, resulting in a remainder of 14.
The next digit of our result is 8. 
Result so far: 46280.58
Subtracting 136 from 150 leaves us 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 9:
17 goes into 140 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 46280.588
Subtract 136 from 140 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 46280.588 and a remainder of 0.0004.