We're dividing 470213 by 45 
We want to figure out the number of times 470213 can be divided by 45.

On 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
If we take 0 away from 4, we end up with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 45

Moving on to step 2:
45 can be fit into 47 1 times, resulting in a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 45 from 47 to get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 45

Going ahead to step 3:
When dividing 20 by 45, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 20, we end up with 20.
Fetch the next digit (2) from the dividend, attach it to 20 and continue: 202 / 45

Let's proceed to step 4:
If we divide 202 by 45, we get 4 and a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 104.0
Subtracting 180 from 202 leaves us with 22.
Grab the next digit (1) from the dividend, add it to 22, then carry on: 221 / 45

On to step 5:
The number 45 fits into 221 4 times, leaving a remainder of 41.
Use 4 as the next digit of our solution. 
Result so far: 1044.0
If we take 180 away from 221, we end up with 41.
Bring next digit (3) of the dividend behind the 41 and repeat the process: 413 / 45

Advancing to step 6:
413 divided by 45 is 9 with a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 10449.0
Subtract 405 from 413 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
If we divide 80 by 45, we get 1 and a remainder of 35.
The next digit of our result is 1. 
Result so far: 10449.1
If we subtract 45 from 80, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 10449.17
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
If we divide 350 by 45, we get 7 and a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 10449.177
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 10449.177 with a remainder of 0.0035.