We're dividing 306911 by 59 
Our goal is to divide 306911 by 59.

Let's proceed to step 1:
59 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 59

Going ahead to step 2:
30 divided by 59 is 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Include the next digit (6) from the dividend after 30, then repeat: 306 / 59

Let's proceed to step 3:
306 divided by 59 is 5 with a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 295 away from 306, we end up with 11.
Grab the next digit (9) from the dividend, add it to 11, then carry on: 119 / 59

On to step 4:
The number 59 fits into 119 2 times, leaving a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 52.0
Subtract 118 from 119 to get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 59

On to step 5:
If we divide 11 by 59, we get 0 and a remainder of 11.
The next digit of our result is 0. 
Result so far: 520.0
Subtracting 0 from 11 leaves us with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 59

Moving on to step 6:
59 can be fit into 111 1 times, resulting in a remainder of 52.
The number 1 becomes the next digit in our result. 
Result so far: 5201.0
Subtract 59 from 111 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.

Moving on to step 7:
520 divided by 59 is 8 with a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 5201.8
Subtracting 472 from 520 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
59 goes into 480 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 5201.88
Deduct 472 from 480 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 5201.88 with a remaining 0.008.