We're dividing 5638353 by 999 
We want to figure out the number of times 5638353 can be divided by 999.

Moving on to step 1:
5 divided by 999 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 999

Moving on to step 2:
999 can be fit into 56 0 times, resulting in a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Bring next digit (3) of the dividend behind the 56 and repeat the process: 563 / 999

Going ahead to step 3:
The number 999 fits into 563 0 times, leaving a remainder of 563.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 563 leaves us with 563.
Take the next digit (8) from the dividend and append it to 563, then repeat: 5638 / 999

Let's proceed to step 4:
999 goes into 5638 5 times with a remainder of 643.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 643 after subtracting 4995 from 5638.
Include the next digit (3) from the dividend after 643, then repeat: 6433 / 999

Moving on to step 5:
The number 999 fits into 6433 6 times, leaving a remainder of 439.
Put 6 as the next digit of the answer. 
Result so far: 56.0
If we subtract 5994 from 6433, we get 439.
Bring next digit (5) of the dividend behind the 439 and repeat the process: 4395 / 999

Let's proceed to step 6:
If we divide 4395 by 999, we get 4 and a remainder of 399.
Use 4 as the next digit of our solution. 
Result so far: 564.0
If we subtract 3996 from 4395, we get 399.
Append the next digit (3) from the dividend to 399 and continue with: 3993 / 999

Going ahead to step 7:
999 can be fit into 3993 3 times, resulting in a remainder of 996.
The number 3 becomes the next digit in our result. 
Result so far: 5643.0
Subtract 2997 from 3993 to get 996.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9960, and continue the process.

On to step 8:
9960 divided by 999 is 9 with a remainder of 969.
Use 9 as the next digit of our solution. 
Result so far: 5643.9
If we take 8991 away from 9960, we end up with 969.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9690, and continue the process.

On to step 9:
If we divide 9690 by 999, we get 9 and a remainder of 699.
Put 9 as the next digit of the answer. 
Result so far: 5643.99
Deduct 8991 from 9690 and we're left with 699.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6990, and continue the process.

After the division, we end up with 5643.99 and a remainder of 0.699.