505374 ÷ 9 
We want to divide 505374 by 9.

Step 1:
5 divided by 9 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 9

Let's proceed to step 2:
The number 9 fits into 50 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 45 from 50, we get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 9

On to step 3:
If we divide 55 by 9, we get 6 and a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 56.0
Subtract 54 from 55 to get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 9

Let's proceed to step 4:
13 divided by 9 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 561.0
If we subtract 9 from 13, we get 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 9

Going ahead to step 5:
The number 9 fits into 47 5 times, leaving a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 5615.0
If we take 45 away from 47, we end up with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 9

Moving on to step 6:
24 divided by 9 is 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 56152.0
If we subtract 18 from 24, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
9 goes into 60 6 times with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 56152.6
If we subtract 54 from 60, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
The number 9 fits into 60 6 times, leaving a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 56152.66
Deduct 54 from 60 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 56152.66, and the remainder is 0.006.