We're dividing 776284 by 45 
We want to figure out the number of times 776284 can be divided by 45.

Step 1:
7 divided by 45 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 45

Step 2:
The number 45 fits into 77 1 times, leaving a remainder of 32.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 32 after subtracting 45 from 77.
Fetch the next digit (6) from the dividend, attach it to 32 and continue: 326 / 45

On to step 3:
When dividing 326 by 45, we get 7 with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtract 315 from 326 to get 11.
Append the next digit (2) from the dividend to 11 and continue with: 112 / 45

Step 4:
45 can be fit into 112 2 times, resulting in a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 172.0
Subtract 90 from 112 to get 22.
Grab the next digit (8) from the dividend, add it to 22, then carry on: 228 / 45

Going ahead to step 5:
The number 45 fits into 228 5 times, leaving a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 1725.0
The remainder is 3 after subtracting 225 from 228.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 45

On to step 6:
If we divide 34 by 45, we get 0 and a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 17250.0
Deduct 0 from 34 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
45 goes into 340 7 times with a remainder of 25.
The next digit of our result is 7. 
Result so far: 17250.7
If we subtract 315 from 340, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
45 goes into 250 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 17250.75
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
The number 45 fits into 250 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 17250.755
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 17250.755 with a remaining 0.0025.