We're dividing 678029 by 45 
We want to figure out the number of times 678029 can be divided by 45.

Going ahead to step 1:
If we divide 6 by 45, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 45

On to step 2:
When dividing 67 by 45, we get 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 45 away from 67, we end up with 22.
Append the next digit (8) from the dividend to 22 and continue with: 228 / 45

Going ahead to step 3:
If we divide 228 by 45, we get 5 and 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.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 45

Step 4:
The number 45 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 150.0
If we take 0 away from 30, we end up with 30.
Bring next digit (2) of the dividend behind the 30 and repeat the process: 302 / 45

Advancing to step 5:
302 divided by 45 is 6 with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 1506.0
Deduct 270 from 302 and we're left with 32.
Take the next digit (9) from the dividend and append it to 32, then repeat: 329 / 45

On to step 6:
45 can be fit into 329 7 times, resulting in a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 15067.0
If we subtract 315 from 329, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
If we divide 140 by 45, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 15067.3
Subtracting 135 from 140 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
When dividing 50 by 45, we get 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 15067.31
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
When dividing 50 by 45, we get 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 15067.311
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 15067.311, and the remainder is 0.0005.