Let's divide 578891 by 45
We want to divide 578891 by 45.

Going ahead to step 1:
5 divided by 45 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 45

Moving on to step 2:
If we divide 57 by 45, we get 1 and a remainder of 12.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 45 from 57 and we're left with 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 45

On to step 3:
When dividing 128 by 45, we get 2 with a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we subtract 90 from 128, we get 38.
Bring next digit (8) of the dividend behind the 38 and repeat the process: 388 / 45

Let's proceed to step 4:
45 can be fit into 388 8 times, resulting in a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 128.0
Deduct 360 from 388 and we're left with 28.
Include the next digit (9) from the dividend after 28, then repeat: 289 / 45

Advancing to step 5:
When dividing 289 by 45, we get 6 with a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 1286.0
If we subtract 270 from 289, we get 19.
Bring next digit (1) of the dividend behind the 19 and repeat the process: 191 / 45

Let's proceed to step 6:
When dividing 191 by 45, we get 4 with a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 12864.0
If we subtract 180 from 191, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
45 goes into 110 2 times with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 12864.2
If we subtract 90 from 110, 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:
When dividing 200 by 45, we get 4 with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 12864.24
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.

Let's proceed to step 9:
200 divided by 45 is 4 with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 12864.244
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.

After the division, we end up with 12864.244 and a remainder of 0.002.