We look at the division of 876697 by 66 
We want to figure out the number of times 876697 can be divided by 66.

On to step 1:
66 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 66

Let's proceed to step 2:
If we divide 87 by 66, we get 1 and a remainder of 21.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 66 from 87, we get 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 66

Advancing to step 3:
216 divided by 66 is 3 with a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 198 from 216, we get 18.
Take the next digit (6) from the dividend and append it to 18, then repeat: 186 / 66

On to step 4:
186 divided by 66 is 2 with a remainder of 54.
Record the quotient 2 as the next digit in the result. 
Result so far: 132.0
The remainder is 54 after subtracting 132 from 186.
Take the next digit (9) from the dividend and append it to 54, then repeat: 549 / 66

Moving on to step 5:
If we divide 549 by 66, we get 8 and a remainder of 21.
The next digit of our result is 8. 
Result so far: 1328.0
If we take 528 away from 549, we end up with 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 66

Step 6:
If we divide 217 by 66, we get 3 and a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 13283.0
Subtracting 198 from 217 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
If we divide 190 by 66, we get 2 and a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 13283.2
The remainder is 58 after subtracting 132 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 8:
If we divide 580 by 66, we get 8 and a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 13283.28
Subtracting 528 from 580 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 9:
66 can be fit into 520 7 times, resulting in a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 13283.287
Subtracting 462 from 520 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 10:
66 can be fit into 580 8 times, resulting in a remainder of 52.
The next digit of our result is 8. 
Result so far: 13283.2878
Subtract 528 from 580 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 11:
66 goes into 520 7 times with a remainder of 58.
Use 7 as the next digit of our solution. 
Result so far: 13283.28787
If we subtract 462 from 520, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 12:
580 divided by 66 is 8 with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 13283.287878
If we take 528 away from 580, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 13:
If we divide 520 by 66, we get 7 and a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 13283.2878787
If we subtract 462 from 520, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 14:
When dividing 580 by 66, we get 8 with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 13283.28787878
If we subtract 528 from 580, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final outcome is 13283.28787878, with a leftover of 5.2e-08.