We look at the division of 668131 by 878 
Our goal is to divide 668131 by 878.

Advancing to step 1:
The number 878 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 878

On to step 2:
66 divided by 878 is 0 with a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 66 to get 66.
Include the next digit (8) from the dividend after 66, then repeat: 668 / 878

Going ahead to step 3:
878 goes into 668 0 times with a remainder of 668.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 668 and we're left with 668.
Take the next digit (1) from the dividend and append it to 668, then repeat: 6681 / 878

Moving on to step 4:
878 goes into 6681 7 times with a remainder of 535.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 6146 from 6681, we get 535.
Fetch the next digit (3) from the dividend, attach it to 535 and continue: 5353 / 878

Moving on to step 5:
878 goes into 5353 6 times with a remainder of 85.
Record the quotient 6 as the next digit in the result. 
Result so far: 76.0
Deduct 5268 from 5353 and we're left with 85.
Grab the next digit (1) from the dividend, add it to 85, then carry on: 851 / 878

Step 6:
878 can be fit into 851 0 times, resulting in a remainder of 851.
The next digit of our result is 0. 
Result so far: 760.0
If we take 0 away from 851, we end up with 851.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8510, and continue the process.

Let's proceed to step 7:
878 goes into 8510 9 times with a remainder of 608.
Record the quotient 9 as the next digit in the result. 
Result so far: 760.9
Deduct 7902 from 8510 and we're left with 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

On to step 8:
The number 878 fits into 6080 6 times, leaving a remainder of 812.
Put 6 as the next digit of the answer. 
Result so far: 760.96
If we subtract 5268 from 6080, we get 812.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8120, and continue the process.

Step 9:
When dividing 8120 by 878, we get 9 with a remainder of 218.
Use 9 as the next digit of our solution. 
Result so far: 760.969
Subtract 7902 from 8120 to get 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Let's proceed to step 10:
If we divide 2180 by 878, we get 2 and a remainder of 424.
The next digit of our result is 2. 
Result so far: 760.9692
Subtracting 1756 from 2180 leaves us with 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

On to step 11:
878 goes into 4240 4 times with a remainder of 728.
Put 4 as the next digit of the answer. 
Result so far: 760.96924
Subtracting 3512 from 4240 leaves us with 728.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7280, and continue the process.

On to step 12:
When dividing 7280 by 878, we get 8 with a remainder of 256.
The next digit of our result is 8. 
Result so far: 760.969248
If we subtract 7024 from 7280, we get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

On to step 13:
878 can be fit into 2560 2 times, resulting in a remainder of 804.
Record the quotient 2 as the next digit in the result. 
Result so far: 760.9692482
If we take 1756 away from 2560, we end up with 804.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8040, and continue the process.

Step 14:
When dividing 8040 by 878, we get 9 with a remainder of 138.
Record the quotient 9 as the next digit in the result. 
Result so far: 760.96924829
If we subtract 7902 from 8040, we get 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

The quotient of the division is 760.96924829, and the remainder is 1.38e-07.