We're dividing 507467 by 71 
We want to figure out the number of times 507467 can be divided by 71.

On to step 1:
The number 71 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 71

Going ahead to step 2:
50 divided by 71 is 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Append the next digit (7) from the dividend to 50 and continue with: 507 / 71

Step 3:
If we divide 507 by 71, we get 7 and a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtracting 497 from 507 leaves us with 10.
Bring next digit (4) of the dividend behind the 10 and repeat the process: 104 / 71

On to step 4:
When dividing 104 by 71, we get 1 with a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
The remainder is 33 after subtracting 71 from 104.
Grab the next digit (6) from the dividend, add it to 33, then carry on: 336 / 71

Moving on to step 5:
When dividing 336 by 71, we get 4 with a remainder of 52.
The next digit of our result is 4. 
Result so far: 714.0
Subtracting 284 from 336 leaves us with 52.
Fetch the next digit (7) from the dividend, attach it to 52 and continue: 527 / 71

Step 6:
71 can be fit into 527 7 times, resulting in a remainder of 30.
The next digit of our result is 7. 
Result so far: 7147.0
Subtracting 497 from 527 leaves us 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.

On to step 7:
When dividing 300 by 71, we get 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 7147.4
If we take 284 away from 300, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
160 divided by 71 is 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 7147.42
The remainder is 18 after subtracting 142 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 9:
71 goes into 180 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 7147.422
Deduct 142 from 180 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 7147.422 with a remaining 0.0038.