We look at the division of 71087628 by 665 
Our goal is to divide 71087628 by 665.

On to step 1:
The number 665 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 665

Advancing to step 2:
665 can be fit into 71 0 times, resulting in a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 71 after subtracting 0 from 71.
Take the next digit (0) from the dividend and append it to 71, then repeat: 710 / 665

Let's proceed to step 3:
710 divided by 665 is 1 with a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 665 from 710 leaves us with 45.
Grab the next digit (8) from the dividend, add it to 45, then carry on: 458 / 665

Advancing to step 4:
The number 665 fits into 458 0 times, leaving a remainder of 458.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 458 after subtracting 0 from 458.
Fetch the next digit (7) from the dividend, attach it to 458 and continue: 4587 / 665

On to step 5:
4587 divided by 665 is 6 with a remainder of 597.
Write down 6 as next digit of the result. 
Result so far: 106.0
The remainder is 597 after subtracting 3990 from 4587.
Append the next digit (6) from the dividend to 597 and continue with: 5976 / 665

Moving on to step 6:
The number 665 fits into 5976 8 times, leaving a remainder of 656.
The number 8 becomes the next digit in our result. 
Result so far: 1068.0
If we take 5320 away from 5976, we end up with 656.
Include the next digit (2) from the dividend after 656, then repeat: 6562 / 665

On to step 7:
If we divide 6562 by 665, we get 9 and a remainder of 577.
The number 9 becomes the next digit in our result. 
Result so far: 10689.0
If we subtract 5985 from 6562, we get 577.
Grab the next digit (8) from the dividend, add it to 577, then carry on: 5778 / 665

Step 8:
When dividing 5778 by 665, we get 8 with a remainder of 458.
Write down 8 as next digit of the result. 
Result so far: 106898.0
If we subtract 5320 from 5778, we get 458.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

Going ahead to step 9:
The number 665 fits into 4580 6 times, leaving a remainder of 590.
The next digit of our result is 6. 
Result so far: 106898.6
Subtract 3990 from 4580 to get 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5900, and continue the process.

Let's proceed to step 10:
665 can be fit into 5900 8 times, resulting in a remainder of 580.
Record the quotient 8 as the next digit in the result. 
Result so far: 106898.68
Subtract 5320 from 5900 to get 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

Step 11:
When dividing 5800 by 665, we get 8 with a remainder of 480.
Write down 8 as next digit of the result. 
Result so far: 106898.688
Subtract 5320 from 5800 to get 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

The final result is 106898.688 with a remainder of 0.048.