We divide 511825 by 74
We want to divide 511825 by 74.

Let's proceed to step 1:
5 divided by 74 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 74

On to step 2:
If we divide 51 by 74, we get 0 and a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Take the next digit (1) from the dividend and append it to 51, then repeat: 511 / 74

Let's proceed to step 3:
74 can be fit into 511 6 times, resulting in a remainder of 67.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 444 from 511, we get 67.
Take the next digit (8) from the dividend and append it to 67, then repeat: 678 / 74

On to step 4:
When dividing 678 by 74, we get 9 with a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
Deduct 666 from 678 and we're left with 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 74

On to step 5:
74 can be fit into 122 1 times, resulting in a remainder of 48.
Put 1 as the next digit of the answer. 
Result so far: 691.0
If we take 74 away from 122, we end up with 48.
Include the next digit (5) from the dividend after 48, then repeat: 485 / 74

Moving on to step 6:
When dividing 485 by 74, we get 6 with a remainder of 41.
Write down 6 as next digit of the result. 
Result so far: 6916.0
Subtracting 444 from 485 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 7:
74 can be fit into 410 5 times, resulting in a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 6916.5
If we subtract 370 from 410, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
When dividing 400 by 74, we get 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 6916.55
Subtract 370 from 400 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 6916.55 with a remaining 0.03.