We're dividing 812508 by 71 
We're looking to find how many times 71 goes into 812508.

Let's proceed to step 1:
If we divide 8 by 71, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 71

On to step 2:
The number 71 fits into 81 1 times, leaving a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 71 from 81, we get 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 71

Advancing to step 3:
71 can be fit into 102 1 times, resulting in a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 31 after subtracting 71 from 102.
Take the next digit (5) from the dividend and append it to 31, then repeat: 315 / 71

Going ahead to step 4:
When dividing 315 by 71, we get 4 with a remainder of 31.
Record the quotient 4 as the next digit in the result. 
Result so far: 114.0
The remainder is 31 after subtracting 284 from 315.
Bring next digit (0) of the dividend behind the 31 and repeat the process: 310 / 71

Going ahead to step 5:
When dividing 310 by 71, we get 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 1144.0
The remainder is 26 after subtracting 284 from 310.
Append the next digit (8) from the dividend to 26 and continue with: 268 / 71

Advancing to step 6:
The number 71 fits into 268 3 times, leaving a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 11443.0
If we take 213 away from 268, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 7:
If we divide 550 by 71, we get 7 and a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 11443.7
Subtract 497 from 550 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 8:
71 can be fit into 530 7 times, resulting in a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 11443.77
If we subtract 497 from 530, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The quotient of the division is 11443.77, and the remainder is 0.033.