778517 ÷ 45 
We want to divide 778517 by 45.

Going ahead to step 1:
The number 45 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 45

Advancing to step 2:
45 goes into 77 1 times with a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 45 away from 77, we end up with 32.
Take the next digit (8) from the dividend and append it to 32, then repeat: 328 / 45

Step 3:
The number 45 fits into 328 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtract 315 from 328 to get 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 45

Moving on to step 4:
If we divide 135 by 45, we get 3 and a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 173.0
Subtracting 135 from 135 leaves us with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 45

On to step 5:
45 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 1730.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 45

Step 6:
45 goes into 17 0 times with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 17300.0
If we take 0 away from 17, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
When dividing 170 by 45, we get 3 with a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 17300.3
Subtracting 135 from 170 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
45 goes into 350 7 times with a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 17300.37
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 17300.377
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 17300.377 with a remainder of 0.0035.