We're dividing 876869 by 91 
We're looking to find how many times 91 goes into 876869.

On to step 1:
91 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 91

Let's proceed to step 2:
If we divide 87 by 91, we get 0 and a remainder of 87.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 87 to get 87.
Append the next digit (6) from the dividend to 87 and continue with: 876 / 91

Advancing to step 3:
91 goes into 876 9 times with a remainder of 57.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 57 after subtracting 819 from 876.
Bring next digit (8) of the dividend behind the 57 and repeat the process: 578 / 91

Let's proceed to step 4:
578 divided by 91 is 6 with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 96.0
Subtract 546 from 578 to get 32.
Bring next digit (6) of the dividend behind the 32 and repeat the process: 326 / 91

Advancing to step 5:
326 divided by 91 is 3 with a remainder of 53.
Record the quotient 3 as the next digit in the result. 
Result so far: 963.0
Deduct 273 from 326 and we're left with 53.
Take the next digit (9) from the dividend and append it to 53, then repeat: 539 / 91

Advancing to step 6:
539 divided by 91 is 5 with a remainder of 84.
The number 5 becomes the next digit in our result. 
Result so far: 9635.0
If we take 455 away from 539, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 7:
The number 91 fits into 840 9 times, leaving a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 9635.9
The remainder is 21 after subtracting 819 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 8:
91 can be fit into 210 2 times, resulting in a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 9635.92
If we subtract 182 from 210, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
If we divide 280 by 91, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 9635.923
The remainder is 7 after subtracting 273 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
The number 91 fits into 70 0 times, leaving a remainder of 70.
The next digit of our result is 0. 
Result so far: 9635.923
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 11:
700 divided by 91 is 7 with a remainder of 63.
The number 7 becomes the next digit in our result. 
Result so far: 9635.92307
Subtracting 637 from 700 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 12:
If we divide 630 by 91, we get 6 and a remainder of 84.
Record the quotient 6 as the next digit in the result. 
Result so far: 9635.923076
Deduct 546 from 630 and we're left with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 13:
When dividing 840 by 91, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 9635.9230769
Subtract 819 from 840 to get 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 14:
The number 91 fits into 210 2 times, leaving a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 9635.92307692
If we take 182 away from 210, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 9635.92307692, and the remainder is 2.8e-08.