57889 ÷ 6 
Our goal is to divide 57889 by 6.

Step 1:
If we divide 5 by 6, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 6

Moving on to step 2:
When dividing 57 by 6, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 54 from 57 leaves us with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 6

Advancing to step 3:
The number 6 fits into 38 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 96.0
Subtract 36 from 38 to get 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 6

On to step 4:
6 can be fit into 28 4 times, resulting in a remainder of 4.
The next digit of our result is 4. 
Result so far: 964.0
Deduct 24 from 28 and we're left with 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 6

Going ahead to step 5:
When dividing 49 by 6, we get 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 9648.0
Subtracting 48 from 49 leaves us 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.

Let's proceed to step 6:
10 divided by 6 is 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 9648.1
Subtract 6 from 10 to 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.

Let's proceed to step 7:
40 divided by 6 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 9648.16
Deduct 36 from 40 and we're left with 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 8:
6 goes into 40 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 9648.166
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 9648.166 with a remaining 0.0004.