871669 ÷ 91 
We're looking to find how many times 91 goes into 871669.

Moving on to step 1:
91 can be fit into 8 0 times, resulting in a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 91

Moving on to step 2:
91 can be fit into 87 0 times, resulting in a remainder of 87.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 87, we get 87.
Grab the next digit (1) from the dividend, add it to 87, then carry on: 871 / 91

Going ahead to step 3:
871 divided by 91 is 9 with a remainder of 52.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 819 from 871 and we're left with 52.
Include the next digit (6) from the dividend after 52, then repeat: 526 / 91

On to step 4:
If we divide 526 by 91, we get 5 and a remainder of 71.
Put 5 as the next digit of the answer. 
Result so far: 95.0
Subtract 455 from 526 to get 71.
Grab the next digit (6) from the dividend, add it to 71, then carry on: 716 / 91

Advancing to step 5:
When dividing 716 by 91, we get 7 with a remainder of 79.
Put 7 as the next digit of the answer. 
Result so far: 957.0
If we subtract 637 from 716, we get 79.
Include the next digit (9) from the dividend after 79, then repeat: 799 / 91

Let's proceed to step 6:
91 can be fit into 799 8 times, resulting in a remainder of 71.
Write down 8 as next digit of the result. 
Result so far: 9578.0
Subtract 728 from 799 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Moving on to step 7:
When dividing 710 by 91, we get 7 with a remainder of 73.
The next digit of our result is 7. 
Result so far: 9578.7
Subtract 637 from 710 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Going ahead to step 8:
730 divided by 91 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 9578.78
If we subtract 728 from 730, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
The number 91 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 9578.78
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
91 goes into 200 2 times with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 9578.7802
If we take 182 away from 200, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 11:
When dividing 180 by 91, we get 1 with a remainder of 89.
The number 1 becomes the next digit in our result. 
Result so far: 9578.78021
If we take 91 away from 180, we end up with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Step 12:
The number 91 fits into 890 9 times, leaving a remainder of 71.
Put 9 as the next digit of the answer. 
Result so far: 9578.780219
Deduct 819 from 890 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 13:
91 can be fit into 710 7 times, resulting in a remainder of 73.
Record the quotient 7 as the next digit in the result. 
Result so far: 9578.7802197
Subtract 637 from 710 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 14:
If we divide 730 by 91, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 9578.78021978
If we subtract 728 from 730, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 9578.78021978 with a balance of 2e-09.