586078 ÷ 45 
We want to figure out the number of times 586078 can be divided by 45.

Moving on to step 1:
The number 45 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 45

Let's proceed to step 2:
When dividing 58 by 45, we get 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 45 from 58, we get 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 45

Moving on to step 3:
45 goes into 136 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 135 from 136 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 45

Moving on to step 4:
10 divided by 45 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 130.0
If we take 0 away from 10, we end up with 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 45

On to step 5:
107 divided by 45 is 2 with a remainder of 17.
Record the quotient 2 as the next digit in the result. 
Result so far: 1302.0
The remainder is 17 after subtracting 90 from 107.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 45

Moving on to step 6:
45 goes into 178 3 times with a remainder of 43.
Put 3 as the next digit of the answer. 
Result so far: 13023.0
If we subtract 135 from 178, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 7:
The number 45 fits into 430 9 times, leaving a remainder of 25.
Write down 9 as next digit of the result. 
Result so far: 13023.9
Subtract 405 from 430 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 13023.95
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
45 goes into 250 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 13023.955
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 13023.955 with a balance of 0.0025.