253174 divided by 6 
We're looking to find how many times 6 goes into 253174.

Let's proceed to step 1:
6 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 6

On to step 2:
When dividing 25 by 6, we get 4 with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 24 from 25 leaves us with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 6

Advancing to step 3:
When dividing 13 by 6, we get 2 with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 42.0
Deduct 12 from 13 and we're left with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 6

Moving on to step 4:
If we divide 11 by 6, we get 1 and a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 421.0
If we subtract 6 from 11, we get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 6

On to step 5:
The number 6 fits into 57 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 4219.0
If we subtract 54 from 57, we get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 6

Step 6:
6 goes into 34 5 times with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 42195.0
Deduct 30 from 34 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.

Advancing to step 7:
6 goes into 40 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 42195.6
Subtract 36 from 40 to get 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:
If we divide 40 by 6, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 42195.66
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.

The final outcome is 42195.66, with a leftover of 0.004.