42877864 ÷ 501 
Let's see how many times 501 fits into 42877864.

Moving on to step 1:
501 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 501

Going ahead to step 2:
When dividing 42 by 501, we get 0 with a remainder of 42.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Take the next digit (8) from the dividend and append it to 42, then repeat: 428 / 501

Let's proceed to step 3:
If we divide 428 by 501, we get 0 and a remainder of 428.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 428 after subtracting 0 from 428.
Grab the next digit (7) from the dividend, add it to 428, then carry on: 4287 / 501

Advancing to step 4:
501 goes into 4287 8 times with a remainder of 279.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 4008 from 4287 leaves us with 279.
Grab the next digit (7) from the dividend, add it to 279, then carry on: 2797 / 501

Moving on to step 5:
501 can be fit into 2797 5 times, resulting in a remainder of 292.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
If we subtract 2505 from 2797, we get 292.
Include the next digit (8) from the dividend after 292, then repeat: 2928 / 501

Let's proceed to step 6:
2928 divided by 501 is 5 with a remainder of 423.
The next digit of our result is 5. 
Result so far: 855.0
If we take 2505 away from 2928, we end up with 423.
Take the next digit (6) from the dividend and append it to 423, then repeat: 4236 / 501

Going ahead to step 7:
4236 divided by 501 is 8 with a remainder of 228.
Use 8 as the next digit of our solution. 
Result so far: 8558.0
Subtracting 4008 from 4236 leaves us with 228.
Append the next digit (4) from the dividend to 228 and continue with: 2284 / 501

Advancing to step 8:
501 goes into 2284 4 times with a remainder of 280.
The next digit of our result is 4. 
Result so far: 85584.0
If we take 2004 away from 2284, we end up with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Advancing to step 9:
If we divide 2800 by 501, we get 5 and a remainder of 295.
Put 5 as the next digit of the answer. 
Result so far: 85584.5
Subtract 2505 from 2800 to get 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

Advancing to step 10:
The number 501 fits into 2950 5 times, leaving a remainder of 445.
Use 5 as the next digit of our solution. 
Result so far: 85584.55
Deduct 2505 from 2950 and we're left with 445.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4450, and continue the process.

The final result is 85584.55 with a remainder of 0.445.