153624 divided by 6 
We want to figure out the number of times 153624 can be divided by 6.

Let's proceed to step 1:
When dividing 1 by 6, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 6

Moving on to step 2:
The number 6 fits into 15 2 times, leaving a remainder of 3.
The next digit of our result is 2. 
Result so far: 2.0
If we take 12 away from 15, we end up with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 6

On to step 3:
33 divided by 6 is 5 with a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 25.0
The remainder is 3 after subtracting 30 from 33.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 6

Moving on to step 4:
36 divided by 6 is 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 256.0
If we subtract 36 from 36, we get 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 6

Advancing to step 5:
If we divide 2 by 6, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 2560.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 6

Advancing to step 6:
6 can be fit into 24 4 times, resulting in a remainder of 0.
The next digit of our result is 4. 
Result so far: 25604.0
If we subtract 24 from 24, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
When dividing 0 by 6, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 25604.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
0 divided by 6 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 25604.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 25604.0, with a leftover of 0.0.