We look at the division of 757643 by 17 
We're looking to find how many times 17 goes into 757643.

Let's proceed to step 1:
If we divide 7 by 17, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 17

Advancing to step 2:
17 can be fit into 75 4 times, resulting in a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 68 from 75, we get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 17

Going ahead to step 3:
When dividing 77 by 17, we get 4 with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 44.0
Subtracting 68 from 77 leaves us with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 17

Moving on to step 4:
The number 17 fits into 96 5 times, leaving a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 445.0
Subtract 85 from 96 to get 11.
Bring next digit (4) of the dividend behind the 11 and repeat the process: 114 / 17

Advancing to step 5:
The number 17 fits into 114 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 4456.0
Subtracting 102 from 114 leaves us with 12.
Grab the next digit (3) from the dividend, add it to 12, then carry on: 123 / 17

Step 6:
17 can be fit into 123 7 times, resulting in a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 44567.0
The remainder is 4 after subtracting 119 from 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
When dividing 40 by 17, we get 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 44567.2
If we subtract 34 from 40, 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.

Advancing to step 8:
60 divided by 17 is 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 44567.23
Deduct 51 from 60 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
When dividing 90 by 17, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 44567.235
If we subtract 85 from 90, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
50 divided by 17 is 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 44567.2352
Deduct 34 from 50 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
17 can be fit into 160 9 times, resulting in a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 44567.23529
Deduct 153 from 160 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 12:
When dividing 70 by 17, we get 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 44567.235294
Deduct 68 from 70 and we're left with 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 13:
The number 17 fits into 20 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 44567.2352941
If we take 17 away from 20, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 14:
17 can be fit into 30 1 times, resulting in a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 44567.23529411
If we subtract 17 from 30, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 44567.23529411 with a remaining 1.3e-08.