Let's divide 37257 by 9
Our goal is to divide 37257 by 9.

Moving on to step 1:
If we divide 3 by 9, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 9

On to step 2:
9 goes into 37 4 times with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 36 from 37 and we're left with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 9

Step 3:
12 divided by 9 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
Subtracting 9 from 12 leaves us with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 9

Let's proceed to step 4:
35 divided by 9 is 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 413.0
Subtracting 27 from 35 leaves us with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 9

Let's proceed to step 5:
The number 9 fits into 87 9 times, leaving a remainder of 6.
The next digit of our result is 9. 
Result so far: 4139.0
Subtract 81 from 87 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 6:
9 can be fit into 60 6 times, resulting in a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 4139.6
The remainder is 6 after subtracting 54 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
The number 9 fits into 60 6 times, leaving a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 4139.66
Subtracting 54 from 60 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 4139.66 with a remainder of 0.006.