253021 ÷ 6 
We want to figure out the number of times 253021 can be divided by 6.

On to step 1:
If we divide 2 by 6, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 6

On to step 2:
25 divided by 6 is 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 24 away from 25, we end up with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 6

Going ahead to step 3:
6 goes into 13 2 times with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
Subtracting 12 from 13 leaves us with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 6

Going ahead to step 4:
When dividing 10 by 6, we get 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 421.0
Subtract 6 from 10 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 6

Going ahead to step 5:
When dividing 42 by 6, we get 7 with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 4217.0
If we subtract 42 from 42, we get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 6

Step 6:
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: 42170.0
Deduct 0 from 1 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:
The number 6 fits into 10 1 times, leaving a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 42170.1
If we take 6 away from 10, 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.

On to step 8:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 42170.16
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.

Advancing 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: 42170.166
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.

The final result is 42170.166 with a remainder of 0.0004.