13624 divided by 6 
Our goal is to divide 13624 by 6.

Advancing to step 1:
If we divide 1 by 6, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 6

Step 2:
6 goes into 13 2 times with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 1 after subtracting 12 from 13.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 6

Moving on to step 3:
16 divided by 6 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Deduct 12 from 16 and we're left with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 6

Let's proceed to step 4:
If we divide 42 by 6, we get 7 and a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 227.0
If we take 42 away from 42, we end up with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 6

Advancing to step 5:
When dividing 4 by 6, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 2270.0
The remainder is 4 after subtracting 0 from 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 6:
6 goes into 40 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 2270.6
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 7:
If we divide 40 by 6, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 2270.66
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.

The quotient of the division is 2270.66, and the remainder is 0.004.