6599 ÷ 1 
Our goal is to divide 6599 by 1.

Let's proceed to step 1:
1 can be fit into 6 6 times, resulting in a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 0 after subtracting 6 from 6.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 1

Let's proceed to step 2:
If we divide 5 by 1, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 65.0
If we subtract 5 from 5, we get 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 1

Let's proceed to step 3:
1 can be fit into 9 9 times, resulting in a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 659.0
If we subtract 9 from 9, we get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 1

Going ahead to step 4:
The number 1 fits into 9 9 times, leaving a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 6599.0
If we subtract 9 from 9, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 5:
The number 1 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 6599.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 6:
If we divide 0 by 1, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6599.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 6599.0 with a remaining 0.0.