We're dividing 645487 by 71 
We want to figure out the number of times 645487 can be divided by 71.

On to step 1:
71 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 71

Moving on to step 2:
The number 71 fits into 64 0 times, leaving a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Bring next digit (5) of the dividend behind the 64 and repeat the process: 645 / 71

Let's proceed to step 3:
If we divide 645 by 71, we get 9 and a remainder of 6.
The next digit of our result is 9. 
Result so far: 9.0
If we subtract 639 from 645, we get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 71

Moving on to step 4:
64 divided by 71 is 0 with a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 90.0
Subtracting 0 from 64 leaves us with 64.
Take the next digit (8) from the dividend and append it to 64, then repeat: 648 / 71

Advancing to step 5:
71 goes into 648 9 times with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 909.0
The remainder is 9 after subtracting 639 from 648.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 71

Moving on to step 6:
The number 71 fits into 97 1 times, leaving a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 9091.0
Deduct 71 from 97 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
When dividing 260 by 71, we get 3 with a remainder of 47.
The next digit of our result is 3. 
Result so far: 9091.3
If we take 213 away from 260, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 8:
The number 71 fits into 470 6 times, leaving a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 9091.36
Deduct 426 from 470 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 9:
If we divide 440 by 71, we get 6 and a remainder of 14.
The next digit of our result is 6. 
Result so far: 9091.366
Deduct 426 from 440 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 9091.366, and the remainder is 0.0014.