478685 ÷ 45 
We're looking to find how many times 45 goes into 478685.

Moving on to step 1:
If we divide 4 by 45, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 45

On to step 2:
45 goes into 47 1 times with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 45 from 47, we get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 45

Step 3:
If we divide 28 by 45, we get 0 and a remainder of 28.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 28 to get 28.
Fetch the next digit (6) from the dividend, attach it to 28 and continue: 286 / 45

Step 4:
45 can be fit into 286 6 times, resulting in a remainder of 16.
The next digit of our result is 6. 
Result so far: 106.0
If we subtract 270 from 286, we get 16.
Grab the next digit (8) from the dividend, add it to 16, then carry on: 168 / 45

Advancing to step 5:
168 divided by 45 is 3 with a remainder of 33.
Write down 3 as next digit of the result. 
Result so far: 1063.0
Deduct 135 from 168 and we're left with 33.
Take the next digit (5) from the dividend and append it to 33, then repeat: 335 / 45

On to step 6:
If we divide 335 by 45, we get 7 and a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 10637.0
The remainder is 20 after subtracting 315 from 335.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
If we divide 200 by 45, we get 4 and a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 10637.4
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.

Step 8:
If we divide 200 by 45, we get 4 and a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 10637.44
Subtract 180 from 200 to 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.

The quotient of the division is 10637.44, and the remainder is 0.02.