We're dividing 477159 by 45 
We want to figure out the number of times 477159 can be divided by 45.

Going ahead to step 1:
When dividing 4 by 45, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 45

Going ahead to step 2:
47 divided by 45 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 45 from 47 to get 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 45

Moving on to step 3:
45 goes into 27 0 times with a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 27, we get 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 45

Step 4:
The number 45 fits into 271 6 times, leaving a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 106.0
Subtracting 270 from 271 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 45

On to step 5:
When dividing 15 by 45, we get 0 with a remainder of 15.
The next digit of our result is 0. 
Result so far: 1060.0
If we take 0 away from 15, we end up with 15.
Fetch the next digit (9) from the dividend, attach it to 15 and continue: 159 / 45

Let's proceed to step 6:
The number 45 fits into 159 3 times, leaving a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 10603.0
Subtracting 135 from 159 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
When dividing 240 by 45, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 10603.5
The remainder is 15 after subtracting 225 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
45 goes into 150 3 times with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 10603.53
If we subtract 135 from 150, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
The number 45 fits into 150 3 times, leaving a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 10603.533
Subtracting 135 from 150 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

After the division, we end up with 10603.533 and a remainder of 0.0015.