We're dividing 876144 by 4 
We're looking to find how many times 4 goes into 876144.

Step 1:
4 goes into 8 2 times with a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 8 from 8 and we're left with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 4

On to step 2:
The number 4 fits into 7 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 21.0
If we subtract 4 from 7, we get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 4

Advancing to step 3:
4 can be fit into 36 9 times, resulting in a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 219.0
Deduct 36 from 36 and we're left with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 4

Going ahead to step 4:
When dividing 1 by 4, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 2190.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 4

Going ahead to step 5:
When dividing 14 by 4, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 21903.0
The remainder is 2 after subtracting 12 from 14.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 4

Let's proceed to step 6:
If we divide 24 by 4, we get 6 and a remainder of 0.
The next digit of our result is 6. 
Result so far: 219036.0
Subtracting 24 from 24 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
When dividing 0 by 4, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 219036.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
4 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 219036.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 219036.0 with a balance of 0.0.