We look at the division of 71696082 by 669 
Our goal is to divide 71696082 by 669.

On to step 1:
7 divided by 669 is 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 669

On to step 2:
The number 669 fits into 71 0 times, leaving a remainder of 71.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 71 leaves us with 71.
Take the next digit (6) from the dividend and append it to 71, then repeat: 716 / 669

Let's proceed to step 3:
669 goes into 716 1 times with a remainder of 47.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 669 from 716 leaves us with 47.
Include the next digit (9) from the dividend after 47, then repeat: 479 / 669

Let's proceed to step 4:
The number 669 fits into 479 0 times, leaving a remainder of 479.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 479 and we're left with 479.
Include the next digit (6) from the dividend after 479, then repeat: 4796 / 669

Let's proceed to step 5:
669 goes into 4796 7 times with a remainder of 113.
The next digit of our result is 7. 
Result so far: 107.0
If we subtract 4683 from 4796, we get 113.
Grab the next digit (0) from the dividend, add it to 113, then carry on: 1130 / 669

Step 6:
When dividing 1130 by 669, we get 1 with a remainder of 461.
The next digit of our result is 1. 
Result so far: 1071.0
Subtracting 669 from 1130 leaves us with 461.
Take the next digit (8) from the dividend and append it to 461, then repeat: 4618 / 669

Moving on to step 7:
The number 669 fits into 4618 6 times, leaving a remainder of 604.
Use 6 as the next digit of our solution. 
Result so far: 10716.0
Deduct 4014 from 4618 and we're left with 604.
Grab the next digit (2) from the dividend, add it to 604, then carry on: 6042 / 669

Advancing to step 8:
669 can be fit into 6042 9 times, resulting in a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 107169.0
Subtracting 6021 from 6042 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
The number 669 fits into 210 0 times, leaving a remainder of 210.
Put 0 as the next digit of the answer. 
Result so far: 107169.0
Deduct 0 from 210 and we're left with 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

Let's proceed to step 10:
669 goes into 2100 3 times with a remainder of 93.
Write down 3 as next digit of the result. 
Result so far: 107169.03
If we subtract 2007 from 2100, we get 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 930, and continue the process.

Let's proceed to step 11:
669 can be fit into 930 1 times, resulting in a remainder of 261.
The next digit of our result is 1. 
Result so far: 107169.031
The remainder is 261 after subtracting 669 from 930.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2610, and continue the process.

Let's proceed to step 12:
669 can be fit into 2610 3 times, resulting in a remainder of 603.
The number 3 becomes the next digit in our result. 
Result so far: 107169.0313
If we subtract 2007 from 2610, we get 603.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6030, and continue the process.

Step 13:
669 can be fit into 6030 9 times, resulting in a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 107169.03139
If we take 6021 away from 6030, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 14:
669 goes into 90 0 times with a remainder of 90.
The number 0 becomes the next digit in our result. 
Result so far: 107169.03139
Deduct 0 from 90 and we're left with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Let's proceed to step 15:
If we divide 900 by 669, we get 1 and a remainder of 231.
Write down 1 as next digit of the result. 
Result so far: 107169.0313901
If we subtract 669 from 900, we get 231.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2310, and continue the process.

Let's proceed to step 16:
669 can be fit into 2310 3 times, resulting in a remainder of 303.
Record the quotient 3 as the next digit in the result. 
Result so far: 107169.03139013
If we subtract 2007 from 2310, we get 303.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3030, and continue the process.

In conclusion, the division gives 107169.03139013 with a balance of 3.03e-07.