We're dividing 4176876 by 545 
We want to divide 4176876 by 545.

Step 1:
4 divided by 545 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 545

Advancing to step 2:
When dividing 41 by 545, we get 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Take the next digit (7) from the dividend and append it to 41, then repeat: 417 / 545

Going ahead to step 3:
When dividing 417 by 545, we get 0 with a remainder of 417.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 417, we end up with 417.
Take the next digit (6) from the dividend and append it to 417, then repeat: 4176 / 545

Let's proceed to step 4:
545 goes into 4176 7 times with a remainder of 361.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 3815 from 4176, we get 361.
Append the next digit (8) from the dividend to 361 and continue with: 3618 / 545

Moving on to step 5:
545 can be fit into 3618 6 times, resulting in a remainder of 348.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtract 3270 from 3618 to get 348.
Append the next digit (7) from the dividend to 348 and continue with: 3487 / 545

Going ahead to step 6:
3487 divided by 545 is 6 with a remainder of 217.
Use 6 as the next digit of our solution. 
Result so far: 766.0
If we subtract 3270 from 3487, we get 217.
Take the next digit (6) from the dividend and append it to 217, then repeat: 2176 / 545

On to step 7:
2176 divided by 545 is 3 with a remainder of 541.
Put 3 as the next digit of the answer. 
Result so far: 7663.0
Subtract 1635 from 2176 to get 541.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5410, and continue the process.

Advancing to step 8:
545 goes into 5410 9 times with a remainder of 505.
Put 9 as the next digit of the answer. 
Result so far: 7663.9
If we subtract 4905 from 5410, we get 505.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5050, and continue the process.

Moving on to step 9:
If we divide 5050 by 545, we get 9 and a remainder of 145.
The next digit of our result is 9. 
Result so far: 7663.99
The remainder is 145 after subtracting 4905 from 5050.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

After the division, we end up with 7663.99 and a remainder of 0.145.