We're dividing 420943 by 88 
We want to figure out the number of times 420943 can be divided by 88.

Advancing to step 1:
If we divide 4 by 88, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 88

Going ahead to step 2:
88 can be fit into 42 0 times, resulting in a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Include the next digit (0) from the dividend after 42, then repeat: 420 / 88

Moving on to step 3:
88 can be fit into 420 4 times, resulting in a remainder of 68.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 352 away from 420, we end up with 68.
Grab the next digit (9) from the dividend, add it to 68, then carry on: 689 / 88

Advancing to step 4:
If we divide 689 by 88, we get 7 and a remainder of 73.
Put 7 as the next digit of the answer. 
Result so far: 47.0
Subtracting 616 from 689 leaves us with 73.
Bring next digit (4) of the dividend behind the 73 and repeat the process: 734 / 88

Moving on to step 5:
If we divide 734 by 88, we get 8 and a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 478.0
Subtracting 704 from 734 leaves us with 30.
Fetch the next digit (3) from the dividend, attach it to 30 and continue: 303 / 88

On to step 6:
303 divided by 88 is 3 with a remainder of 39.
Record the quotient 3 as the next digit in the result. 
Result so far: 4783.0
If we take 264 away from 303, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 7:
If we divide 390 by 88, we get 4 and a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 4783.4
The remainder is 38 after subtracting 352 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 8:
If we divide 380 by 88, we get 4 and a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 4783.44
If we subtract 352 from 380, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 4783.44 with a balance of 0.028.