876101 ÷ 84 
We want to figure out the number of times 876101 can be divided by 84.

Going ahead to step 1:
If we divide 8 by 84, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 84

Step 2:
84 goes into 87 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 84 from 87 to get 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 84

Step 3:
When dividing 36 by 84, we get 0 with a remainder of 36.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 36 leaves us with 36.
Take the next digit (1) from the dividend and append it to 36, then repeat: 361 / 84

Let's proceed to step 4:
When dividing 361 by 84, we get 4 with a remainder of 25.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
Deduct 336 from 361 and we're left with 25.
Fetch the next digit (0) from the dividend, attach it to 25 and continue: 250 / 84

Step 5:
If we divide 250 by 84, we get 2 and a remainder of 82.
Use 2 as the next digit of our solution. 
Result so far: 1042.0
Deduct 168 from 250 and we're left with 82.
Append the next digit (1) from the dividend to 82 and continue with: 821 / 84

Let's proceed to step 6:
84 can be fit into 821 9 times, resulting in a remainder of 65.
Record the quotient 9 as the next digit in the result. 
Result so far: 10429.0
Subtract 756 from 821 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 7:
If we divide 650 by 84, we get 7 and a remainder of 62.
Write down 7 as next digit of the result. 
Result so far: 10429.7
If we subtract 588 from 650, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 8:
620 divided by 84 is 7 with a remainder of 32.
Put 7 as the next digit of the answer. 
Result so far: 10429.77
Subtracting 588 from 620 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 10429.77, and the remainder is 0.032.