55111021 ÷ 508 
We're looking to find how many times 508 goes into 55111021.

Going ahead to step 1:
The number 508 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 508

Advancing to step 2:
508 goes into 55 0 times with a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Include the next digit (1) from the dividend after 55, then repeat: 551 / 508

On to step 3:
551 divided by 508 is 1 with a remainder of 43.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 508 from 551 and we're left with 43.
Bring next digit (1) of the dividend behind the 43 and repeat the process: 431 / 508

On to step 4:
508 can be fit into 431 0 times, resulting in a remainder of 431.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 431, we end up with 431.
Grab the next digit (1) from the dividend, add it to 431, then carry on: 4311 / 508

Moving on to step 5:
When dividing 4311 by 508, we get 8 with a remainder of 247.
The next digit of our result is 8. 
Result so far: 108.0
Deduct 4064 from 4311 and we're left with 247.
Fetch the next digit (0) from the dividend, attach it to 247 and continue: 2470 / 508

Advancing to step 6:
508 can be fit into 2470 4 times, resulting in a remainder of 438.
Record the quotient 4 as the next digit in the result. 
Result so far: 1084.0
Subtracting 2032 from 2470 leaves us with 438.
Fetch the next digit (2) from the dividend, attach it to 438 and continue: 4382 / 508

Advancing to step 7:
If we divide 4382 by 508, we get 8 and a remainder of 318.
Write down 8 as next digit of the result. 
Result so far: 10848.0
Deduct 4064 from 4382 and we're left with 318.
Include the next digit (1) from the dividend after 318, then repeat: 3181 / 508

On to step 8:
When dividing 3181 by 508, we get 6 with a remainder of 133.
Put 6 as the next digit of the answer. 
Result so far: 108486.0
Subtract 3048 from 3181 to get 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

Step 9:
The number 508 fits into 1330 2 times, leaving a remainder of 314.
Put 2 as the next digit of the answer. 
Result so far: 108486.2
The remainder is 314 after subtracting 1016 from 1330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

Going ahead to step 10:
508 can be fit into 3140 6 times, resulting in a remainder of 92.
The number 6 becomes the next digit in our result. 
Result so far: 108486.26
Subtracting 3048 from 3140 leaves us with 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Moving on to step 11:
508 can be fit into 920 1 times, resulting in a remainder of 412.
The number 1 becomes the next digit in our result. 
Result so far: 108486.261
Subtract 508 from 920 to get 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Let's proceed to step 12:
508 can be fit into 4120 8 times, resulting in a remainder of 56.
The next digit of our result is 8. 
Result so far: 108486.2618
Deduct 4064 from 4120 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 13:
560 divided by 508 is 1 with a remainder of 52.
Use 1 as the next digit of our solution. 
Result so far: 108486.26181
Subtract 508 from 560 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 14:
508 can be fit into 520 1 times, resulting in a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 108486.261811
If we subtract 508 from 520, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 108486.261811 with a balance of 1.2e-06.