We divide 678782 by 45
We're looking to find how many times 45 goes into 678782.

Let's proceed to step 1:
If we divide 6 by 45, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 45

On to step 2:
45 goes into 67 1 times with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 45 from 67 leaves us with 22.
Fetch the next digit (8) from the dividend, attach it to 22 and continue: 228 / 45

Step 3:
The number 45 fits into 228 5 times, leaving a remainder of 3.
The next digit of our result is 5. 
Result so far: 15.0
The remainder is 3 after subtracting 225 from 228.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 45

Moving on to step 4:
The number 45 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 150.0
Subtracting 0 from 37 leaves us with 37.
Fetch the next digit (8) from the dividend, attach it to 37 and continue: 378 / 45

Moving on to step 5:
If we divide 378 by 45, we get 8 and a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 1508.0
If we subtract 360 from 378, we get 18.
Fetch the next digit (2) from the dividend, attach it to 18 and continue: 182 / 45

Going ahead to step 6:
45 can be fit into 182 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 15084.0
Subtract 180 from 182 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
45 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 15084.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
45 goes into 200 4 times with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 15084.04
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
The number 45 fits into 200 4 times, leaving a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 15084.044
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 15084.044 with a balance of 0.002.