We look at the division of 420790 by 5 
We're looking to find how many times 5 goes into 420790.

Step 1:
If we divide 4 by 5, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 5

Advancing to step 2:
42 divided by 5 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 40 from 42 leaves us with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 5

On to step 3:
When dividing 20 by 5, we get 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 84.0
If we subtract 20 from 20, we get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 5

Advancing to step 4:
5 goes into 7 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 841.0
If we take 5 away from 7, we end up with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 5

Moving on to step 5:
The number 5 fits into 29 5 times, leaving a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 8415.0
The remainder is 4 after subtracting 25 from 29.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 5

Advancing to step 6:
5 can be fit into 40 8 times, resulting in a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 84158.0
Subtract 40 from 40 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
5 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 84158.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
The number 5 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 84158.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 84158.0 with a balance of 0.0.