We're dividing 83876 by 24 
We want to divide 83876 by 24.

Going ahead to step 1:
24 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 24

Moving on to step 2:
When dividing 83 by 24, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 72 from 83, we get 11.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 24

Let's proceed to step 3:
The number 24 fits into 118 4 times, leaving a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 34.0
If we subtract 96 from 118, we get 22.
Fetch the next digit (7) from the dividend, attach it to 22 and continue: 227 / 24

Advancing to step 4:
The number 24 fits into 227 9 times, leaving a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 349.0
If we take 216 away from 227, we end up with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 24

Moving on to step 5:
The number 24 fits into 116 4 times, leaving a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 3494.0
Subtract 96 from 116 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 6:
24 can be fit into 200 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 3494.8
The remainder is 8 after subtracting 192 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
If we divide 80 by 24, we get 3 and a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 3494.83
Subtracting 72 from 80 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
The number 24 fits into 80 3 times, leaving a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 3494.833
Subtract 72 from 80 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 3494.833, and the remainder is 0.0008.