We're dividing 420591 by 52 
We want to divide 420591 by 52.

On to step 1:
The number 52 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 52

Let's proceed to step 2:
52 can be fit into 42 0 times, resulting in a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Include the next digit (0) from the dividend after 42, then repeat: 420 / 52

Going ahead to step 3:
420 divided by 52 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 8.0
If we take 416 away from 420, we end up with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 52

Going ahead to step 4:
52 can be fit into 45 0 times, resulting in a remainder of 45.
The next digit of our result is 0. 
Result so far: 80.0
If we subtract 0 from 45, we get 45.
Take the next digit (9) from the dividend and append it to 45, then repeat: 459 / 52

Let's proceed to step 5:
If we divide 459 by 52, we get 8 and a remainder of 43.
Record the quotient 8 as the next digit in the result. 
Result so far: 808.0
Deduct 416 from 459 and we're left with 43.
Take the next digit (1) from the dividend and append it to 43, then repeat: 431 / 52

Let's proceed to step 6:
If we divide 431 by 52, we get 8 and a remainder of 15.
The next digit of our result is 8. 
Result so far: 8088.0
Subtract 416 from 431 to 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.

Going ahead to step 7:
52 goes into 150 2 times with a remainder of 46.
The next digit of our result is 2. 
Result so far: 8088.2
Subtracting 104 from 150 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
52 goes into 460 8 times with a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 8088.28
If we subtract 416 from 460, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 9:
When dividing 440 by 52, we get 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 8088.288
Deduct 416 from 440 and we're left 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.

In conclusion, the division gives 8088.288 with a balance of 0.0024.