510634 ÷ 72 
We're looking to find how many times 72 goes into 510634.

Going ahead to step 1:
The number 72 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 72

Advancing to step 2:
When dividing 51 by 72, we get 0 with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Take the next digit (0) from the dividend and append it to 51, then repeat: 510 / 72

Step 3:
The number 72 fits into 510 7 times, leaving a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 504 from 510 leaves us with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 72

Step 4:
72 goes into 66 0 times with a remainder of 66.
The number 0 becomes the next digit in our result. 
Result so far: 70.0
Subtracting 0 from 66 leaves us with 66.
Append the next digit (3) from the dividend to 66 and continue with: 663 / 72

Going ahead to step 5:
When dividing 663 by 72, we get 9 with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 709.0
If we subtract 648 from 663, we get 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 72

Moving on to step 6:
72 goes into 154 2 times with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 7092.0
The remainder is 10 after subtracting 144 from 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
72 can be fit into 100 1 times, resulting in a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 7092.1
If we subtract 72 from 100, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
The number 72 fits into 280 3 times, leaving a remainder of 64.
Put 3 as the next digit of the answer. 
Result so far: 7092.13
Deduct 216 from 280 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 9:
When dividing 640 by 72, we get 8 with a remainder of 64.
Use 8 as the next digit of our solution. 
Result so far: 7092.138
The remainder is 64 after subtracting 576 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 10:
If we divide 640 by 72, we get 8 and a remainder of 64.
Use 8 as the next digit of our solution. 
Result so far: 7092.1388
Subtract 576 from 640 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 7092.1388, and the remainder is 0.00064.