5959 divided by 9 
We want to divide 5959 by 9.

Let's proceed to step 1:
9 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 9

Let's proceed to step 2:
The number 9 fits into 59 6 times, leaving a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 5 after subtracting 54 from 59.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 9

On to step 3:
9 goes into 55 6 times with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
Deduct 54 from 55 and we're left with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 9

On to step 4:
9 goes into 19 2 times with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 662.0
Deduct 18 from 19 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 5:
9 can be fit into 10 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 662.1
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 6:
9 can be fit into 10 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 662.11
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 662.11 and a remainder of 0.001.