55375757 ÷ 599 
Our goal is to divide 55375757 by 599.

Moving on to step 1:
599 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 599

Going ahead to step 2:
If we divide 55 by 599, we get 0 and a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Append the next digit (3) from the dividend to 55 and continue with: 553 / 599

On to step 3:
599 goes into 553 0 times with a remainder of 553.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 553, we get 553.
Include the next digit (7) from the dividend after 553, then repeat: 5537 / 599

Moving on to step 4:
5537 divided by 599 is 9 with a remainder of 146.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 5391 away from 5537, we end up with 146.
Fetch the next digit (5) from the dividend, attach it to 146 and continue: 1465 / 599

Going ahead to step 5:
The number 599 fits into 1465 2 times, leaving a remainder of 267.
The next digit of our result is 2. 
Result so far: 92.0
If we take 1198 away from 1465, we end up with 267.
Grab the next digit (7) from the dividend, add it to 267, then carry on: 2677 / 599

On to step 6:
599 can be fit into 2677 4 times, resulting in a remainder of 281.
Put 4 as the next digit of the answer. 
Result so far: 924.0
The remainder is 281 after subtracting 2396 from 2677.
Take the next digit (5) from the dividend and append it to 281, then repeat: 2815 / 599

Moving on to step 7:
599 goes into 2815 4 times with a remainder of 419.
Use 4 as the next digit of our solution. 
Result so far: 9244.0
The remainder is 419 after subtracting 2396 from 2815.
Grab the next digit (7) from the dividend, add it to 419, then carry on: 4197 / 599

Step 8:
If we divide 4197 by 599, we get 7 and a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 92447.0
If we subtract 4193 from 4197, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
The number 599 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 92447.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 10:
400 divided by 599 is 0 with a remainder of 400.
Write down 0 as next digit of the result. 
Result so far: 92447.0
The remainder is 400 after subtracting 0 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

After the division, we end up with 92447.0 and a remainder of 0.4.