We're dividing 4365786 by 876 
We're looking to find how many times 876 goes into 4365786.

Let's proceed to step 1:
4 divided by 876 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 876

Moving on to step 2:
If we divide 43 by 876, we get 0 and a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 876

Step 3:
When dividing 436 by 876, we get 0 with a remainder of 436.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 436 to get 436.
Fetch the next digit (5) from the dividend, attach it to 436 and continue: 4365 / 876

Step 4:
When dividing 4365 by 876, we get 4 with a remainder of 861.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 3504 from 4365, we get 861.
Take the next digit (7) from the dividend and append it to 861, then repeat: 8617 / 876

Advancing to step 5:
876 can be fit into 8617 9 times, resulting in a remainder of 733.
Write down 9 as next digit of the result. 
Result so far: 49.0
If we subtract 7884 from 8617, we get 733.
Include the next digit (8) from the dividend after 733, then repeat: 7338 / 876

Step 6:
876 goes into 7338 8 times with a remainder of 330.
The number 8 becomes the next digit in our result. 
Result so far: 498.0
Subtracting 7008 from 7338 leaves us with 330.
Grab the next digit (6) from the dividend, add it to 330, then carry on: 3306 / 876

Moving on to step 7:
876 can be fit into 3306 3 times, resulting in a remainder of 678.
Record the quotient 3 as the next digit in the result. 
Result so far: 4983.0
Deduct 2628 from 3306 and we're left with 678.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6780, and continue the process.

Moving on to step 8:
The number 876 fits into 6780 7 times, leaving a remainder of 648.
Write down 7 as next digit of the result. 
Result so far: 4983.7
If we subtract 6132 from 6780, we get 648.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6480, and continue the process.

On to step 9:
876 can be fit into 6480 7 times, resulting in a remainder of 348.
The next digit of our result is 7. 
Result so far: 4983.77
If we take 6132 away from 6480, we end up with 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

In conclusion, the division gives 4983.77 with a balance of 0.348.