We look at the division of 83876023 by 842 
Our goal is to divide 83876023 by 842.

Step 1:
842 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
Subtract 0 from 8 to get 8.
Grab the next digit (3) from the dividend, add it to 8, then carry on: 83 / 842

Going ahead to step 2:
83 divided by 842 is 0 with a remainder of 83.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 83, we get 83.
Fetch the next digit (8) from the dividend, attach it to 83 and continue: 838 / 842

Going ahead to step 3:
If we divide 838 by 842, we get 0 and a remainder of 838.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 838 to get 838.
Include the next digit (7) from the dividend after 838, then repeat: 8387 / 842

Going ahead to step 4:
842 can be fit into 8387 9 times, resulting in a remainder of 809.
The next digit of our result is 9. 
Result so far: 9.0
If we take 7578 away from 8387, we end up with 809.
Take the next digit (6) from the dividend and append it to 809, then repeat: 8096 / 842

Advancing to step 5:
8096 divided by 842 is 9 with a remainder of 518.
Use 9 as the next digit of our solution. 
Result so far: 99.0
If we take 7578 away from 8096, we end up with 518.
Include the next digit (0) from the dividend after 518, then repeat: 5180 / 842

Let's proceed to step 6:
When dividing 5180 by 842, we get 6 with a remainder of 128.
Put 6 as the next digit of the answer. 
Result so far: 996.0
If we take 5052 away from 5180, we end up with 128.
Append the next digit (2) from the dividend to 128 and continue with: 1282 / 842

Advancing to step 7:
When dividing 1282 by 842, we get 1 with a remainder of 440.
Put 1 as the next digit of the answer. 
Result so far: 9961.0
Subtracting 842 from 1282 leaves us with 440.
Grab the next digit (3) from the dividend, add it to 440, then carry on: 4403 / 842

On to step 8:
When dividing 4403 by 842, we get 5 with a remainder of 193.
Put 5 as the next digit of the answer. 
Result so far: 99615.0
Subtracting 4210 from 4403 leaves us with 193.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1930, and continue the process.

Let's proceed to step 9:
1930 divided by 842 is 2 with a remainder of 246.
Put 2 as the next digit of the answer. 
Result so far: 99615.2
Deduct 1684 from 1930 and we're left with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

Step 10:
842 goes into 2460 2 times with a remainder of 776.
The next digit of our result is 2. 
Result so far: 99615.22
Subtracting 1684 from 2460 leaves us with 776.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7760, and continue the process.

The final outcome is 99615.22, with a leftover of 0.776.