We look at the division of 17101759 by 919 
We're looking to find how many times 919 goes into 17101759.

Going ahead to step 1:
If we divide 1 by 919, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 919

On to step 2:
919 can be fit into 17 0 times, resulting in a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Append the next digit (1) from the dividend to 17 and continue with: 171 / 919

Moving on to step 3:
When dividing 171 by 919, we get 0 with a remainder of 171.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 171 to get 171.
Bring next digit (0) of the dividend behind the 171 and repeat the process: 1710 / 919

Let's proceed to step 4:
1710 divided by 919 is 1 with a remainder of 791.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 791 after subtracting 919 from 1710.
Bring next digit (1) of the dividend behind the 791 and repeat the process: 7911 / 919

Moving on to step 5:
919 goes into 7911 8 times with a remainder of 559.
Use 8 as the next digit of our solution. 
Result so far: 18.0
If we subtract 7352 from 7911, we get 559.
Append the next digit (7) from the dividend to 559 and continue with: 5597 / 919

On to step 6:
If we divide 5597 by 919, we get 6 and a remainder of 83.
Record the quotient 6 as the next digit in the result. 
Result so far: 186.0
The remainder is 83 after subtracting 5514 from 5597.
Grab the next digit (5) from the dividend, add it to 83, then carry on: 835 / 919

Moving on to step 7:
If we divide 835 by 919, we get 0 and a remainder of 835.
Put 0 as the next digit of the answer. 
Result so far: 1860.0
Deduct 0 from 835 and we're left with 835.
Fetch the next digit (9) from the dividend, attach it to 835 and continue: 8359 / 919

Going ahead to step 8:
When dividing 8359 by 919, we get 9 with a remainder of 88.
The next digit of our result is 9. 
Result so far: 18609.0
Subtracting 8271 from 8359 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Let's proceed to step 9:
When dividing 880 by 919, we get 0 with a remainder of 880.
The number 0 becomes the next digit in our result. 
Result so far: 18609.0
Deduct 0 from 880 and we're left with 880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8800, and continue the process.

Advancing to step 10:
If we divide 8800 by 919, we get 9 and a remainder of 529.
Put 9 as the next digit of the answer. 
Result so far: 18609.09
Subtracting 8271 from 8800 leaves us with 529.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5290, and continue the process.

Advancing to step 11:
If we divide 5290 by 919, we get 5 and a remainder of 695.
Write down 5 as next digit of the result. 
Result so far: 18609.095
Deduct 4595 from 5290 and we're left with 695.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6950, and continue the process.

Moving on to step 12:
The number 919 fits into 6950 7 times, leaving a remainder of 517.
Record the quotient 7 as the next digit in the result. 
Result so far: 18609.0957
If we take 6433 away from 6950, we end up with 517.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5170, and continue the process.

Advancing to step 13:
If we divide 5170 by 919, we get 5 and a remainder of 575.
Put 5 as the next digit of the answer. 
Result so far: 18609.09575
If we subtract 4595 from 5170, we get 575.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5750, and continue the process.

Advancing to step 14:
When dividing 5750 by 919, we get 6 with a remainder of 236.
Use 6 as the next digit of our solution. 
Result so far: 18609.095756
Subtracting 5514 from 5750 leaves us with 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

Advancing to step 15:
If we divide 2360 by 919, we get 2 and a remainder of 522.
Use 2 as the next digit of our solution. 
Result so far: 18609.0957562
If we take 1838 away from 2360, we end up with 522.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5220, and continue the process.

Step 16:
919 can be fit into 5220 5 times, resulting in a remainder of 625.
Put 5 as the next digit of the answer. 
Result so far: 18609.09575625
If we subtract 4595 from 5220, we get 625.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6250, and continue the process.

The final outcome is 18609.09575625, with a leftover of 6.25e-07.