We divide 769719 by 17
We want to figure out the number of times 769719 can be divided by 17.

Going ahead to step 1:
17 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 17

On to step 2:
17 goes into 76 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 68 from 76 to get 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 17

Step 3:
17 can be fit into 89 5 times, resulting in a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 45.0
If we take 85 away from 89, we end up with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 17

Moving on to step 4:
17 can be fit into 47 2 times, resulting in a remainder of 13.
The next digit of our result is 2. 
Result so far: 452.0
If we subtract 34 from 47, we get 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 17

Advancing to step 5:
17 can be fit into 131 7 times, resulting in a remainder of 12.
The next digit of our result is 7. 
Result so far: 4527.0
The remainder is 12 after subtracting 119 from 131.
Include the next digit (9) from the dividend after 12, then repeat: 129 / 17

Step 6:
17 can be fit into 129 7 times, resulting in a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 45277.0
The remainder is 10 after subtracting 119 from 129.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
17 goes into 100 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 45277.5
If we take 85 away from 100, we end up 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.

On to step 8:
When dividing 150 by 17, we get 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 45277.58
Subtract 136 from 150 to get 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 9:
When dividing 140 by 17, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 45277.588
Deduct 136 from 140 and we're left 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.

In conclusion, the division gives 45277.588 with a balance of 0.0004.