507674 ÷ 75 
We want to figure out the number of times 507674 can be divided by 75.

Moving on to step 1:
The number 75 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 75

Let's proceed to step 2:
50 divided by 75 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Append the next digit (7) from the dividend to 50 and continue with: 507 / 75

Step 3:
75 goes into 507 6 times with a remainder of 57.
The next digit of our result is 6. 
Result so far: 6.0
If we take 450 away from 507, we end up with 57.
Fetch the next digit (6) from the dividend, attach it to 57 and continue: 576 / 75

Step 4:
75 goes into 576 7 times with a remainder of 51.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
The remainder is 51 after subtracting 525 from 576.
Take the next digit (7) from the dividend and append it to 51, then repeat: 517 / 75

Step 5:
If we divide 517 by 75, we get 6 and a remainder of 67.
The number 6 becomes the next digit in our result. 
Result so far: 676.0
Subtracting 450 from 517 leaves us with 67.
Include the next digit (4) from the dividend after 67, then repeat: 674 / 75

Step 6:
The number 75 fits into 674 8 times, leaving a remainder of 74.
The next digit of our result is 8. 
Result so far: 6768.0
Subtracting 600 from 674 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 7:
If we divide 740 by 75, we get 9 and a remainder of 65.
Write down 9 as next digit of the result. 
Result so far: 6768.9
Deduct 675 from 740 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 8:
The number 75 fits into 650 8 times, leaving a remainder of 50.
The number 8 becomes the next digit in our result. 
Result so far: 6768.98
If we subtract 600 from 650, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 6768.986
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 10:
75 goes into 500 6 times with a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 6768.9866
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 6768.9866, and the remainder is 0.0005.