We're dividing 17185945 by 778 
Our goal is to divide 17185945 by 778.

Advancing to step 1:
1 divided by 778 is 0 with a remainder of 1.
The next digit of our result is 0. 
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 / 778

Moving on to step 2:
778 can be fit into 17 0 times, resulting in a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 778

On to step 3:
171 divided by 778 is 0 with a remainder of 171.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 171, we end up with 171.
Grab the next digit (8) from the dividend, add it to 171, then carry on: 1718 / 778

Let's proceed to step 4:
778 goes into 1718 2 times with a remainder of 162.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 1556 from 1718, we get 162.
Take the next digit (5) from the dividend and append it to 162, then repeat: 1625 / 778

Step 5:
The number 778 fits into 1625 2 times, leaving a remainder of 69.
Put 2 as the next digit of the answer. 
Result so far: 22.0
If we subtract 1556 from 1625, we get 69.
Grab the next digit (9) from the dividend, add it to 69, then carry on: 699 / 778

Moving on to step 6:
699 divided by 778 is 0 with a remainder of 699.
Record the quotient 0 as the next digit in the result. 
Result so far: 220.0
Subtract 0 from 699 to get 699.
Append the next digit (4) from the dividend to 699 and continue with: 6994 / 778

Let's proceed to step 7:
The number 778 fits into 6994 8 times, leaving a remainder of 770.
The next digit of our result is 8. 
Result so far: 2208.0
Subtracting 6224 from 6994 leaves us with 770.
Include the next digit (5) from the dividend after 770, then repeat: 7705 / 778

Going ahead to step 8:
The number 778 fits into 7705 9 times, leaving a remainder of 703.
Record the quotient 9 as the next digit in the result. 
Result so far: 22089.0
Subtracting 7002 from 7705 leaves us with 703.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7030, and continue the process.

On to step 9:
The number 778 fits into 7030 9 times, leaving a remainder of 28.
Put 9 as the next digit of the answer. 
Result so far: 22089.9
If we subtract 7002 from 7030, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
280 divided by 778 is 0 with a remainder of 280.
Put 0 as the next digit of the answer. 
Result so far: 22089.9
Subtracting 0 from 280 leaves us with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Moving on to step 11:
778 can be fit into 2800 3 times, resulting in a remainder of 466.
Write down 3 as next digit of the result. 
Result so far: 22089.903
If we subtract 2334 from 2800, we get 466.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

On to step 12:
When dividing 4660 by 778, we get 5 with a remainder of 770.
Put 5 as the next digit of the answer. 
Result so far: 22089.9035
If we take 3890 away from 4660, we end up with 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7700, and continue the process.

Going ahead to step 13:
The number 778 fits into 7700 9 times, leaving a remainder of 698.
Record the quotient 9 as the next digit in the result. 
Result so far: 22089.90359
Deduct 7002 from 7700 and we're left with 698.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6980, and continue the process.

Step 14:
6980 divided by 778 is 8 with a remainder of 756.
Write down 8 as next digit of the result. 
Result so far: 22089.903598
Deduct 6224 from 6980 and we're left with 756.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7560, and continue the process.

Moving on to step 15:
778 can be fit into 7560 9 times, resulting in a remainder of 558.
Record the quotient 9 as the next digit in the result. 
Result so far: 22089.9035989
The remainder is 558 after subtracting 7002 from 7560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5580, and continue the process.

Step 16:
The number 778 fits into 5580 7 times, leaving a remainder of 134.
The number 7 becomes the next digit in our result. 
Result so far: 22089.90359897
Deduct 5446 from 5580 and we're left with 134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1340, and continue the process.

The final result is 22089.90359897 with a remainder of 1.34e-07.