We're dividing 419939 by 87 
We want to figure out the number of times 419939 can be divided by 87.

Let's proceed to step 1:
The number 87 fits into 4 0 times, leaving 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.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 87

Advancing to step 2:
If we divide 41 by 87, we get 0 and a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Bring next digit (9) of the dividend behind the 41 and repeat the process: 419 / 87

Step 3:
If we divide 419 by 87, we get 4 and a remainder of 71.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 71 after subtracting 348 from 419.
Take the next digit (9) from the dividend and append it to 71, then repeat: 719 / 87

Going ahead to step 4:
719 divided by 87 is 8 with a remainder of 23.
Write down 8 as next digit of the result. 
Result so far: 48.0
Subtracting 696 from 719 leaves us with 23.
Include the next digit (3) from the dividend after 23, then repeat: 233 / 87

Step 5:
The number 87 fits into 233 2 times, leaving a remainder of 59.
Put 2 as the next digit of the answer. 
Result so far: 482.0
Subtracting 174 from 233 leaves us with 59.
Include the next digit (9) from the dividend after 59, then repeat: 599 / 87

Advancing to step 6:
87 goes into 599 6 times with a remainder of 77.
The number 6 becomes the next digit in our result. 
Result so far: 4826.0
If we take 522 away from 599, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

On to step 7:
The number 87 fits into 770 8 times, leaving a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 4826.8
The remainder is 74 after subtracting 696 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 8:
87 can be fit into 740 8 times, resulting in a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 4826.88
Subtracting 696 from 740 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

In conclusion, the division gives 4826.88 with a balance of 0.044.