Let's divide 421825 by 6
We're looking to find how many times 6 goes into 421825.

Advancing to step 1:
When dividing 4 by 6, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 6

On to step 2:
The number 6 fits into 42 7 times, leaving a remainder of 0.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 42 from 42, we get 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 6

On to step 3:
1 divided by 6 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 6

Advancing to step 4:
When dividing 18 by 6, we get 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 703.0
Deduct 18 from 18 and we're left with 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 6

Step 5:
If we divide 2 by 6, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 7030.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 6

Advancing to step 6:
The number 6 fits into 25 4 times, leaving a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 70304.0
Deduct 24 from 25 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 7:
6 goes into 10 1 times with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 70304.1
The remainder is 4 after subtracting 6 from 10.
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 8:
When dividing 40 by 6, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 70304.16
The remainder is 4 after subtracting 36 from 40.
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 9:
6 goes into 40 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 70304.166
If we take 36 away from 40, we end up 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.

After the division, we end up with 70304.166 and a remainder of 0.0004.