84219589 ÷ 508 
Our goal is to divide 84219589 by 508.

Going ahead to step 1:
508 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 508

Let's proceed to step 2:
The number 508 fits into 84 0 times, leaving a remainder of 84.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 84 after subtracting 0 from 84.
Include the next digit (2) from the dividend after 84, then repeat: 842 / 508

Step 3:
508 can be fit into 842 1 times, resulting in a remainder of 334.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 508 from 842 to get 334.
Bring next digit (1) of the dividend behind the 334 and repeat the process: 3341 / 508

Let's proceed to step 4:
508 can be fit into 3341 6 times, resulting in a remainder of 293.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we subtract 3048 from 3341, we get 293.
Append the next digit (9) from the dividend to 293 and continue with: 2939 / 508

Advancing to step 5:
The number 508 fits into 2939 5 times, leaving a remainder of 399.
Use 5 as the next digit of our solution. 
Result so far: 165.0
Deduct 2540 from 2939 and we're left with 399.
Take the next digit (5) from the dividend and append it to 399, then repeat: 3995 / 508

Moving on to step 6:
508 can be fit into 3995 7 times, resulting in a remainder of 439.
Put 7 as the next digit of the answer. 
Result so far: 1657.0
If we subtract 3556 from 3995, we get 439.
Fetch the next digit (8) from the dividend, attach it to 439 and continue: 4398 / 508

Step 7:
When dividing 4398 by 508, we get 8 with a remainder of 334.
The next digit of our result is 8. 
Result so far: 16578.0
Deduct 4064 from 4398 and we're left with 334.
Include the next digit (9) from the dividend after 334, then repeat: 3349 / 508

Moving on to step 8:
When dividing 3349 by 508, we get 6 with a remainder of 301.
The number 6 becomes the next digit in our result. 
Result so far: 165786.0
Subtract 3048 from 3349 to get 301.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3010, and continue the process.

Let's proceed to step 9:
If we divide 3010 by 508, we get 5 and a remainder of 470.
Use 5 as the next digit of our solution. 
Result so far: 165786.5
Subtract 2540 from 3010 to get 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

Advancing to step 10:
When dividing 4700 by 508, we get 9 with a remainder of 128.
Put 9 as the next digit of the answer. 
Result so far: 165786.59
Deduct 4572 from 4700 and we're left with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Going ahead to step 11:
1280 divided by 508 is 2 with a remainder of 264.
The number 2 becomes the next digit in our result. 
Result so far: 165786.592
Subtract 1016 from 1280 to get 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

On to step 12:
508 can be fit into 2640 5 times, resulting in a remainder of 100.
Record the quotient 5 as the next digit in the result. 
Result so far: 165786.5925
Subtracting 2540 from 2640 leaves us with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Step 13:
If we divide 1000 by 508, we get 1 and a remainder of 492.
Write down 1 as next digit of the result. 
Result so far: 165786.59251
The remainder is 492 after subtracting 508 from 1000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

On to step 14:
508 goes into 4920 9 times with a remainder of 348.
Use 9 as the next digit of our solution. 
Result so far: 165786.592519
Deduct 4572 from 4920 and we're left with 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

Moving on to step 15:
508 goes into 3480 6 times with a remainder of 432.
Record the quotient 6 as the next digit in the result. 
Result so far: 165786.5925196
Deduct 3048 from 3480 and we're left with 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

Going ahead to step 16:
508 goes into 4320 8 times with a remainder of 256.
The next digit of our result is 8. 
Result so far: 165786.59251968
If we subtract 4064 from 4320, we get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

The final outcome is 165786.59251968, with a leftover of 2.56e-07.