We're dividing 800353 by 71 
We want to figure out the number of times 800353 can be divided by 71.

On to step 1:
71 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 71

Going ahead to step 2:
71 can be fit into 80 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 71 from 80 leaves us with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 71

Let's proceed to step 3:
If we divide 90 by 71, we get 1 and a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we subtract 71 from 90, we get 19.
Grab the next digit (3) from the dividend, add it to 19, then carry on: 193 / 71

Advancing to step 4:
If we divide 193 by 71, we get 2 and a remainder of 51.
Record the quotient 2 as the next digit in the result. 
Result so far: 112.0
The remainder is 51 after subtracting 142 from 193.
Include the next digit (5) from the dividend after 51, then repeat: 515 / 71

Moving on to step 5:
71 can be fit into 515 7 times, resulting in a remainder of 18.
The next digit of our result is 7. 
Result so far: 1127.0
If we subtract 497 from 515, we get 18.
Fetch the next digit (3) from the dividend, attach it to 18 and continue: 183 / 71

Step 6:
71 goes into 183 2 times with a remainder of 41.
Write down 2 as next digit of the result. 
Result so far: 11272.0
Subtracting 142 from 183 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 7:
71 can be fit into 410 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 11272.5
If we subtract 355 from 410, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 8:
When dividing 550 by 71, we get 7 with a remainder of 53.
The next digit of our result is 7. 
Result so far: 11272.57
Deduct 497 from 550 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 9:
When dividing 530 by 71, we get 7 with a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 11272.577
The remainder is 33 after subtracting 497 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final result is 11272.577 with a remainder of 0.0033.