We divide 25609 by 6
Our goal is to divide 25609 by 6.

Advancing to step 1:
The number 6 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 6

Moving on to step 2:
The number 6 fits into 25 4 times, leaving a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 24 away from 25, we end up with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 6

Going ahead to step 3:
When dividing 16 by 6, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Deduct 12 from 16 and we're left with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 6

Going ahead to step 4:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 426.0
Subtract 36 from 40 to get 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 6

Going ahead to step 5:
6 goes into 49 8 times with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 4268.0
If we subtract 48 from 49, we get 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:
If we divide 10 by 6, we get 1 and a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 4268.1
Subtracting 6 from 10 leaves us 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.

Step 7:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 4268.16
Subtracting 36 from 40 leaves us 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.

Going ahead 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: 4268.166
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 4268.166 with a remaining 0.0004.