4476280 ÷ 643 
Our goal is to divide 4476280 by 643.

Step 1:
643 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 643

On to step 2:
When dividing 44 by 643, we get 0 with a remainder of 44.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 44, we end up with 44.
Append the next digit (7) from the dividend to 44 and continue with: 447 / 643

Step 3:
643 goes into 447 0 times with a remainder of 447.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 447 and we're left with 447.
Include the next digit (6) from the dividend after 447, then repeat: 4476 / 643

On to step 4:
If we divide 4476 by 643, we get 6 and a remainder of 618.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 3858 from 4476 leaves us with 618.
Append the next digit (2) from the dividend to 618 and continue with: 6182 / 643

On to step 5:
6182 divided by 643 is 9 with a remainder of 395.
Record the quotient 9 as the next digit in the result. 
Result so far: 69.0
If we subtract 5787 from 6182, we get 395.
Append the next digit (8) from the dividend to 395 and continue with: 3958 / 643

On to step 6:
643 can be fit into 3958 6 times, resulting in a remainder of 100.
Record the quotient 6 as the next digit in the result. 
Result so far: 696.0
Subtract 3858 from 3958 to get 100.
Bring next digit (0) of the dividend behind the 100 and repeat the process: 1000 / 643

Step 7:
When dividing 1000 by 643, we get 1 with a remainder of 357.
Use 1 as the next digit of our solution. 
Result so far: 6961.0
Deduct 643 from 1000 and we're left with 357.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3570, and continue the process.

On to step 8:
643 can be fit into 3570 5 times, resulting in a remainder of 355.
The number 5 becomes the next digit in our result. 
Result so far: 6961.5
Subtracting 3215 from 3570 leaves us with 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

Going ahead to step 9:
If we divide 3550 by 643, we get 5 and a remainder of 335.
Use 5 as the next digit of our solution. 
Result so far: 6961.55
Subtract 3215 from 3550 to get 335.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3350, and continue the process.

After the division, we end up with 6961.55 and a remainder of 0.335.