510213 divided by 75 
We want to divide 510213 by 75.

Moving on to step 1:
When dividing 5 by 75, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 75

Let's proceed to step 2:
If we divide 51 by 75, we get 0 and a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Include the next digit (0) from the dividend after 51, then repeat: 510 / 75

Going ahead to step 3:
The number 75 fits into 510 6 times, leaving a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 450 away from 510, we end up with 60.
Grab the next digit (2) from the dividend, add it to 60, then carry on: 602 / 75

On to step 4:
75 can be fit into 602 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 68.0
If we subtract 600 from 602, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 75

Moving on to step 5:
If we divide 21 by 75, we get 0 and a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 680.0
Deduct 0 from 21 and we're left with 21.
Append the next digit (3) from the dividend to 21 and continue with: 213 / 75

Going ahead to step 6:
If we divide 213 by 75, we get 2 and a remainder of 63.
Use 2 as the next digit of our solution. 
Result so far: 6802.0
The remainder is 63 after subtracting 150 from 213.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 7:
When dividing 630 by 75, we get 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 6802.8
If we take 600 away from 630, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
75 goes into 300 4 times with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 6802.84
Subtracting 300 from 300 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.

Going ahead to step 9:
The number 75 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 6802.84
Deduct 0 from 0 and we're left 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.

Going ahead to step 10:
75 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6802.84
If we subtract 0 from 0, we 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.

The quotient of the division is 6802.84, and the remainder is 0.0.