505421 ÷ 68 
Our goal is to divide 505421 by 68.

On to step 1:
68 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 68

Advancing to step 2:
When dividing 50 by 68, we get 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Grab the next digit (5) from the dividend, add it to 50, then carry on: 505 / 68

On to step 3:
505 divided by 68 is 7 with a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 476 from 505 and we're left with 29.
Take the next digit (4) from the dividend and append it to 29, then repeat: 294 / 68

Let's proceed to step 4:
If we divide 294 by 68, we get 4 and a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 74.0
Subtracting 272 from 294 leaves us with 22.
Bring next digit (2) of the dividend behind the 22 and repeat the process: 222 / 68

On to step 5:
When dividing 222 by 68, we get 3 with a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 743.0
If we subtract 204 from 222, we get 18.
Fetch the next digit (1) from the dividend, attach it to 18 and continue: 181 / 68

Let's proceed to step 6:
68 goes into 181 2 times with a remainder of 45.
Put 2 as the next digit of the answer. 
Result so far: 7432.0
If we take 136 away from 181, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 7:
68 goes into 450 6 times with a remainder of 42.
The next digit of our result is 6. 
Result so far: 7432.6
Subtracting 408 from 450 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 8:
68 can be fit into 420 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 7432.66
Subtract 408 from 420 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 7432.66 with a remainder of 0.012.