We look at the division of 757777 by 17 
We're looking to find how many times 17 goes into 757777.

Moving on to step 1:
7 divided by 17 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 17

Going ahead to step 2:
17 goes into 75 4 times with a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 7 after subtracting 68 from 75.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 17

Advancing to step 3:
The number 17 fits into 77 4 times, leaving a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 44.0
Subtract 68 from 77 to get 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 17

Step 4:
If we divide 97 by 17, we get 5 and a remainder of 12.
The next digit of our result is 5. 
Result so far: 445.0
Subtract 85 from 97 to get 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 17

Let's proceed to step 5:
The number 17 fits into 127 7 times, leaving a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 4457.0
Subtract 119 from 127 to get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 17

On to step 6:
17 can be fit into 87 5 times, resulting in a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 44575.0
If we subtract 85 from 87, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
When dividing 20 by 17, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 44575.1
If we subtract 17 from 20, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
The number 17 fits into 30 1 times, leaving a remainder of 13.
The next digit of our result is 1. 
Result so far: 44575.11
The remainder is 13 after subtracting 17 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 44575.11 with a remainder of 0.013.