503679 ÷ 75 
We're looking to find how many times 75 goes into 503679.

Moving on to step 1:
The number 75 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 75

Going ahead to step 2:
If we divide 50 by 75, we get 0 and a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Append the next digit (3) from the dividend to 50 and continue with: 503 / 75

Let's proceed to step 3:
If we divide 503 by 75, we get 6 and a remainder of 53.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 450 from 503 leaves us with 53.
Append the next digit (6) from the dividend to 53 and continue with: 536 / 75

Let's proceed to step 4:
When dividing 536 by 75, we get 7 with a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
The remainder is 11 after subtracting 525 from 536.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 75

Step 5:
If we divide 117 by 75, we get 1 and a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 671.0
Subtracting 75 from 117 leaves us with 42.
Take the next digit (9) from the dividend and append it to 42, then repeat: 429 / 75

Going ahead to step 6:
75 can be fit into 429 5 times, resulting in a remainder of 54.
The next digit of our result is 5. 
Result so far: 6715.0
If we take 375 away from 429, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 7:
When dividing 540 by 75, we get 7 with a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 6715.7
Deduct 525 from 540 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
The number 75 fits into 150 2 times, leaving a remainder of 0.
The next digit of our result is 2. 
Result so far: 6715.72
Subtract 150 from 150 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
75 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6715.72
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
If we divide 0 by 75, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6715.72
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 6715.72, and the remainder is 0.0.